JP2003330977A - Electromagnetic field analyzing device and electromagnetic field analyzing method - Google Patents
Electromagnetic field analyzing device and electromagnetic field analyzing methodInfo
- Publication number
- JP2003330977A JP2003330977A JP2002143197A JP2002143197A JP2003330977A JP 2003330977 A JP2003330977 A JP 2003330977A JP 2002143197 A JP2002143197 A JP 2002143197A JP 2002143197 A JP2002143197 A JP 2002143197A JP 2003330977 A JP2003330977 A JP 2003330977A
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Links
- 230000005672 electromagnetic field Effects 0.000 title claims abstract description 58
- 238000000034 method Methods 0.000 title abstract 2
- 238000004458 analytical method Methods 0.000 claims abstract description 90
- 238000011156 evaluation Methods 0.000 abstract description 6
- 238000010586 diagram Methods 0.000 description 7
- 238000013507 mapping Methods 0.000 description 7
- 239000000470 constituent Substances 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000005670 electromagnetic radiation Effects 0.000 description 1
- 230000001771 impaired effect Effects 0.000 description 1
- 238000012546 transfer Methods 0.000 description 1
Classifications
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/80—Technologies aiming to reduce greenhouse gasses emissions common to all road transportation technologies
- Y02T10/82—Elements for improving aerodynamics
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- Multi Processors (AREA)
- Complex Calculations (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は、トランス、リアク
トル、モータ等の電磁気現象を利用した電子・電気機器
を設計するために電磁場を解析する電磁場解析装置およ
び電磁場解析方法に関し、特に解析対象領域に生成させ
た計算格子を複数の計算領域に分割し、分割した計算領
域を並列計算機のプロセッサにそれぞれ割り当てて電磁
場解析を行う電磁場解析装置および電磁場解析方法に関
する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an electromagnetic field analysis apparatus and an electromagnetic field analysis method for analyzing an electromagnetic field for designing electronic / electrical devices utilizing electromagnetic phenomena such as transformers, reactors, motors, etc. The present invention relates to an electromagnetic field analysis device and an electromagnetic field analysis method for dividing a generated calculation grid into a plurality of calculation regions and assigning the divided calculation regions to processors of a parallel computer to perform electromagnetic field analysis.
【0002】[0002]
【従来の技術】従来、解析対象領域を複数のプロセッサ
で並列計算する場合には、例えば、特開平8−3208
97号公報に開示されているように、解析対象領域に生
成させた計算格子を並列計算に用いるプロセッサ数と同
じ数の領域に分割し、並列計算に用いるプロセッサで分
割したそれぞれの領域の計算を行っていた。2. Description of the Related Art Conventionally, in the case of parallel calculation of a region to be analyzed by a plurality of processors, for example, Japanese Patent Laid-Open No. 3208/1996.
As disclosed in Japanese Patent Publication No. 97, the calculation grid generated in the analysis target region is divided into the same number of regions as the number of processors used for parallel calculation, and the calculation of each region divided by the processors used for parallel calculation is performed. I was going.
【0003】[0003]
【発明が解決しようとする課題】しかしながら、従来技
術では、解析対象領域の一部で空間分解能が高い解析が
必要となったとき、全領域において計算格子を細かくす
る必要があり、全体の計算量が増加するため、計算の高
速性をそこない、高精度解析に大きな計算コストが必要
となってしまうという問題点があった。However, in the prior art, when an analysis with high spatial resolution is required in a part of the analysis target area, it is necessary to make the calculation grid finer in the entire area, and the total calculation amount. Therefore, there is a problem that the calculation speed is impaired and a large calculation cost is required for the high precision analysis.
【0004】本発明は斯かる問題点を鑑みてなされたも
のであり、その目的とするところは、解析対象領域の一
部で空間分解能が高い解析が必要となった場合でも、全
領域において計算格子を細かくする必要がなく、全体の
計算量が増加を防ぎ、計算の高速性を実現でき、高精度
解析にかかる計算コストが低減させることができる電磁
場解析装置および電磁場解析方法を提供する点にある。The present invention has been made in view of the above problems, and an object of the present invention is to perform calculation in the entire region even when a high spatial resolution analysis is required in a part of the analysis target region. The point is to provide an electromagnetic field analysis device and an electromagnetic field analysis method that do not need to make the grid fine, can prevent the increase of the total calculation amount, can realize high-speed calculation, and can reduce the calculation cost for high-precision analysis. is there.
【0005】[0005]
【課題を解決するための手段】本発明は上記課題を解決
すべく、以下に掲げる構成とした。請求項1記載の発明
の要旨は、解析対象領域に生成させた計算格子を複数の
計算領域に分割し、分解した前記計算領域を複数の計算
手段にそれぞれ割り当てて並列計算を行う電磁場解析装
置であって、前記解析対象領域全体に均一な第1の計算
格子を生成する計算格子生成手段と、該計算格子生成手
段により生成された前記第1の計算格子を複数の前記計
算領域に分割する第1の計算領域分割手段と、該第1の
計算領域分割手段により分割された前記計算領域の内の
計算精度が不充分な領域を高精度計算領域として分割
し、求められる計算精度に応じて前記第1の計算格子よ
りも細かい高精度計算格子を生成する第2の計算領域分
割手段と、前記計算領域と前記高精度計算領域とを前記
複数の計算手段に割り当てる計算領域割り当て手段とを
具備することを特徴とする電磁場解析装置に存する。ま
た請求項2記載の発明の要旨は、前記第1の計算領域分
割手段は、前記第1の計算格子を前記複数の計算手段の
数よりも少ない数の前記計算領域に分割することを特徴
とする請求項1記載の電磁場解析装置に存する。また請
求項3記載の発明の要旨は、前記第2の計算領域分割手
段は、求められる計算精度に応じて前記高精度計算領域
に前記第1の計算格子よりも細かい前記高精度計算格子
を階層的に生成することを特徴とする請求項1又は2記
載の電磁場解析装置に存する。また請求項4記載の発明
の要旨は、前記第1の計算領域分割手段は、分割する前
記計算領域の数を前記第2の計算領域分割手段によって
分割される前記高精度計算領域の数に応じて設定するこ
とを特徴とする請求項1乃至3のいずれかに記載の電磁
場解析装置に存する。また請求項5記載の発明の要旨
は、前記複数の計算手段に割り当てる前記計算領域およ
び前記高精度計算領域の格子数を調整する格子数調整手
段を具備することを特徴とする請求項1乃至4のいずれ
かに記載の電磁場解析装置に存する。また請求項6記載
の発明の要旨は、前記格子数調整手段は、前記複数の計
算手段の計算にかかる負荷が均等化されるように格子数
を調整することを特徴とする請求項5記載の電磁場解析
装置に存する。また請求項7記載の発明の要旨は、前記
格子数調整手段は、隣接する前記計算領域および前記高
精度計算領域間で格子を移動させることを特徴とする請
求項5又は6記載の電磁場解析装置に存する。また請求
項8記載の発明の要旨は、解析対象領域に生成させた計
算格子を複数の計算領域に分割し、分解した前記計算領
域を複数の計算手段にそれぞれ割り当てて並列計算を行
う電磁場解析方法であって、前記解析対象領域全体に均
一な第1の計算格子を生成し、当該第1の計算格子を複
数の計算領域に分割し、当該計算領域の内の計算精度が
不充分な領域を高精度計算領域として分割し、当該高精
度計算領域に求められる計算精度に応じて第1の計算格
子よりも細かい高精度計算格子を生成し、前記計算領域
と前記高精度計算領域とを前記複数の計算手段に割り当
てて並列計算を行うことを特徴とする電磁場解析方法に
存する。また請求項9記載の発明の要旨は、前記第1の
計算格子を前記複数の計算手段の数よりも少ない数の前
記計算領域に分割することを特徴とする請求項8記載の
電磁場解析方法に存する。また請求項10記載の発明の
要旨は、求められる計算精度に応じて前記高精度計算領
域に前記第1の計算格子よりも細かい前記高精度計算格
子を階層的に生成することを特徴とする請求項8又は9
記載の電磁場解析方法に存する。また請求項11記載の
発明の要旨は、前記計算領域の数は、前記高精度計算領
域の数に応じて設定することを特徴とする請求項8乃至
10のいずれかに記載の電磁場解析方法に存する。また
請求項12記載の発明の要旨は、前記複数の計算手段に
割り当てる前記計算領域および前記高精度計算領域の格
子数を調整することを特徴とする請求項8乃至10のい
ずれかに記載の電磁場解析方法に存する。また請求項1
3記載の発明の要旨は、前記複数の計算手段の計算にか
かる負荷が均等化されるように格子数を調整することを
特徴とする請求項8乃至10のいずれかに記載の電磁場
解析方法に存する。また請求項14記載の発明の要旨
は、隣接する前記計算領域および前記高精度計算領域間
で格子を移動させて前記計算領域および前記高精度計算
領域の格子数を調整することを特徴とする請求項8乃至
10のいずれかに記載の電磁場解析方法に存する。また
請求項15記載の発明の要旨は、コンピュータに請求項
8乃至14のいずれかに記載の電磁場解析方法を実行さ
せるためのプログラムに存する。The present invention has the following constitution in order to solve the above problems. The gist of the invention according to claim 1 is an electromagnetic field analysis apparatus that divides a calculation grid generated in an analysis target area into a plurality of calculation areas, and assigns the decomposed calculation areas to a plurality of calculation means respectively to perform parallel calculation. A calculation grid generating means for generating a uniform first calculation grid over the entire analysis target area; and a first calculation grid for dividing the first calculation grid generated by the calculation grid generating means into a plurality of calculation areas. One calculation area dividing unit, and an area of insufficient calculation accuracy among the calculation areas divided by the first calculation area dividing unit is divided as a high-precision calculation area, and the calculation area is divided according to the calculated calculation accuracy. Second calculation area dividing means for generating a high-precision calculation grid finer than the first calculation grid, and calculation area allocating means for allocating the calculation area and the high-precision calculation area to the plurality of calculation means It consists in electromagnetic field analysis apparatus, characterized by Bei. Further, the gist of the invention according to claim 2 is that the first calculation area dividing unit divides the first calculation grid into a smaller number of calculation areas than the number of the plurality of calculation units. The electromagnetic field analyzer according to claim 1. Further, the gist of the invention according to claim 3 is that the second calculation area dividing means hierarchizes the high-precision calculation grid finer than the first calculation grid in the high-precision calculation area in accordance with the required calculation accuracy. The electromagnetic field analysis apparatus according to claim 1 or 2, wherein the electromagnetic field analysis apparatus generates the electromagnetic field. According to a fourth aspect of the present invention, the first calculation area dividing unit determines the number of the calculation areas to be divided according to the number of the high precision calculation areas to be divided by the second calculation area dividing unit. The electromagnetic field analysis apparatus according to any one of claims 1 to 3, wherein: A fifth aspect of the present invention is characterized by comprising a grid number adjusting means for adjusting the number of grids of the calculation areas and the high-precision calculation areas assigned to the plurality of calculation means. The electromagnetic field analyzer described in any one of 1. The invention according to claim 6 is characterized in that the grid number adjusting means adjusts the number of grids so as to equalize loads on the calculations of the plurality of calculating means. It exists in the electromagnetic field analyzer. The gist of the invention according to claim 7 is that the grid number adjusting means moves a grid between the calculation area and the high-precision calculation area that are adjacent to each other, and the electromagnetic field analysis apparatus according to claim 5 or 6. Exist in. Further, the gist of the invention according to claim 8 is an electromagnetic field analysis method for dividing a calculation grid generated in an analysis target area into a plurality of calculation areas and assigning the decomposed calculation areas to a plurality of calculation means respectively for parallel calculation. That is, a uniform first calculation grid is generated over the entire analysis target area, the first calculation grid is divided into a plurality of calculation areas, and an area in which calculation accuracy is insufficient is calculated. A high-precision calculation area is divided, a high-precision calculation grid finer than the first calculation grid is generated according to the calculation accuracy required for the high-precision calculation area, and the calculation area and the high-precision calculation area are divided into a plurality of areas. The present invention resides in an electromagnetic field analysis method characterized by performing parallel calculation by allocating to the calculation means. The invention according to claim 9 is the electromagnetic field analysis method according to claim 8, characterized in that the first calculation grid is divided into a smaller number of the calculation areas than the plurality of calculation means. Exist. Further, the gist of the invention according to claim 10 is that the high-precision calculation grid finer than the first calculation grid is hierarchically generated in the high-precision calculation area in accordance with the required calculation accuracy. Item 8 or 9
It exists in the electromagnetic field analysis method described. The invention according to claim 11 is the electromagnetic field analysis method according to any one of claims 8 to 10, characterized in that the number of the calculation regions is set according to the number of the high-precision calculation regions. Exist. The gist of the invention according to claim 12 is to adjust the number of grids of the calculation region and the high-precision calculation region assigned to the plurality of calculation means, and the electromagnetic field according to any one of claims 8 to 10. It depends on the analysis method. Claim 1
The third aspect of the present invention is the electromagnetic field analysis method according to any one of claims 8 to 10, wherein the number of grids is adjusted so that the loads applied to the calculations of the plurality of calculation means are equalized. Exist. The invention according to claim 14 is characterized in that a grid is moved between the adjacent calculation areas and the high-precision calculation areas to adjust the number of grids of the calculation areas and the high-precision calculation areas. The electromagnetic field analysis method according to any one of Items 8 to 10. The gist of the invention according to claim 15 resides in a program for causing a computer to execute the electromagnetic field analysis method according to any one of claims 8 to 14.
【0006】[0006]
【発明の実施の形態】以下、本発明の実施の形態を図面
に基づいて詳細に説明する。BEST MODE FOR CARRYING OUT THE INVENTION Embodiments of the present invention will be described in detail below with reference to the drawings.
【0007】(第1の実施の形態)図1は、本発明に係
る電磁場解析装置の第1の実施の形態の構成を示すブロ
ック図である。(First Embodiment) FIG. 1 is a block diagram showing a configuration of a first embodiment of an electromagnetic field analysis apparatus according to the present invention.
【0008】第1の実施の形態は、図1を参照すると、
計算格子生成部1と、計算領域分割部2と、計算精度評
価部3と、計算領域階層的分割部4と、マッピング部5
と、複数の高精度計算部6とからなり、図示しない入力
手段から入力される解析対象領域データと解析対象領域
内精度データとを受け付けて解析対象領域を複数の高精
度計算部6により分割して計算する。The first embodiment will be described with reference to FIG.
Calculation grid generation unit 1, calculation area division unit 2, calculation accuracy evaluation unit 3, calculation area hierarchical division unit 4, mapping unit 5
And a plurality of high-precision calculation units 6, and receives the analysis target region data and the precision data in the analysis target region input from the input means (not shown), and divides the analysis target region by the plurality of high-precision calculation units 6. Calculate.
【0009】計算格子生成部1は、電磁場解析の対象の
領域である解析対象領域を規定する解析対象領域データ
を受け付け、当該解析対象領域データに基づいて解析対
象領域全体に対し、均一な直交構造格子である計算格子
を生成する。計算格子生成部1により生成された計算格
子は、解析対象領域全体で均一な空間分解能を有する。
なお、計算格子生成部1で生成する計算格子の空間分解
能は、解析対象領域内の最も計算精度が低くて良い領域
を対象として設定する。The calculation grid generating unit 1 receives analysis target area data defining an analysis target area which is a target area of electromagnetic field analysis, and based on the analysis target area data, a uniform orthogonal structure to the entire analysis target area. Generate a computational grid that is a grid. The calculation grid generated by the calculation grid generation unit 1 has a uniform spatial resolution in the entire analysis target area.
Note that the spatial resolution of the calculation grid generated by the calculation grid generation unit 1 is set for the region in the analysis target region that may have the lowest calculation accuracy.
【0010】計算領域分割部2は、計算格子生成部1に
より生成された計算格子を分割して、複数の計算領域1
1を設定する。計算領域分割部2により分割されて設定
される計算領域11の数は、高精度計算部6の数よりも
少ない数であり、例えば高精度計算部6の数が10個で
あれば計算領域11の数が9以下になるように分割され
る。また、各計算領域11は、計算格子数から見積もら
れる各高精度計算部6で解を得るまでの計算時間が平均
になるように分割され、高精度計算部6の計算能力が異
なっている場合には、高精度計算部6の計算能力も考慮
して各計算領域11の計算格子数が設定されている。The calculation area dividing unit 2 divides the calculation grid generated by the calculation grid generation unit 1 into a plurality of calculation areas 1.
Set 1. The number of calculation regions 11 divided and set by the calculation region dividing unit 2 is smaller than the number of high-precision calculation units 6, and for example, if the number of high-precision calculation units 6 is 10, the calculation region 11 Is divided into 9 or less. In addition, each calculation region 11 is divided so that the calculation time required to obtain a solution in each high-precision calculation unit 6 estimated from the number of calculation grids is averaged, and the calculation capabilities of the high-precision calculation unit 6 are different. In, the number of calculation grids of each calculation region 11 is set in consideration of the calculation capacity of the high precision calculation unit 6.
【0011】計算精度評価部3は、解析対象領域、すな
わち計算対象モデルの形状から見積もられる計算精度情
報を示す解析対象領域内精度データを受け付け、計算領
域分割部2により分割された計算領域11の計算精度が
計算格子生成部1により生成された計算格子で充分か不
充分かを評価する。The calculation accuracy evaluation unit 3 receives the analysis target area, that is, the accuracy data in the analysis target area indicating the calculation accuracy information estimated from the shape of the calculation target model, and calculates the calculation area 11 of the calculation area 11 divided by the calculation area dividing unit 2. It is evaluated whether or not the calculation accuracy of the calculation grid generated by the calculation grid generation unit 1 is sufficient.
【0012】計算領域階層的分割部4は、計算精度評価
部3により計算精度が不充分とされた計算領域11から
計算精度が不充分な領域を階層的に分割し(以下、階層
的に分割された領域を高精度計算領域12と称す)、高
精度計算領域12を解析対象領域内精度データの計算精
度情報に基づいて新たな空間分解能の高い格子領域を定
義、すなわち計算格子生成部1により生成させた計算格
子よりも細かい計算格子を生成する。The calculation area hierarchical division unit 4 hierarchically divides an area with insufficient calculation accuracy from the calculation area 11 with insufficient calculation accuracy by the calculation accuracy evaluation unit 3 (hereinafter, hierarchical division). The calculated region is referred to as a high-precision calculation region 12, and the high-precision calculation region 12 is defined as a new grid region having a high spatial resolution based on the calculation accuracy information of the accuracy data in the analysis target region, that is, by the calculation grid generation unit 1. A finer calculation grid than the generated calculation grid is generated.
【0013】マッピング部5は、計算領域分割部2によ
り分割された計算領域11と、計算領域階層的分割部4
により分割された高精度計算領域12とを複数の高精度
計算部6にそれぞれ割り当てる。The mapping section 5 includes a calculation area 11 divided by the calculation area dividing section 2 and a calculation area hierarchical dividing section 4.
The high-accuracy calculation area 12 and the high-accuracy calculation area 12 divided by are respectively allocated to the plurality of high-accuracy calculation units 6.
【0014】高精度計算部6は、並列計算機のプロセッ
サであり、マッピング部5により割り当てられた計算領
域11もしくは高精度計算領域12の計算を行い、解析
対象領域を充分な計算精度で解析する。The high-precision calculation unit 6 is a processor of a parallel computer, calculates the calculation region 11 or the high-precision calculation region 12 allocated by the mapping unit 5, and analyzes the analysis target region with sufficient calculation accuracy.
【0015】次に第1の実施の形態の動作について図2
および図3を参照して詳細に説明する。図2は、本発明
に係る電磁場解析装置の第1の実施の形態の動作を説明
するためのフローチャートであり、図3は、図1に示す
計算領域階層的分割部による計算格子の階層的分割の例
を示す図である。Next, the operation of the first embodiment will be described with reference to FIG.
And it demonstrates in detail with reference to FIG. FIG. 2 is a flowchart for explaining the operation of the first embodiment of the electromagnetic field analysis apparatus according to the present invention, and FIG. 3 is a hierarchical division of a calculation grid by the calculation area hierarchical division unit shown in FIG. It is a figure which shows the example of.
【0016】まず計算格子生成部1は、受け付けた解析
対象領域データに基づいて解析対象領域全体に対し、均
一な直交構造格子である計算格子を生成し(ステップA
1)、計算領域分割部2は、計算格子生成部1により生
成された計算格子を分割して、高精度計算部6の数より
も少ない数の計算領域11を設定する(ステップA
2)。First, the calculation grid generation unit 1 generates a calculation grid which is a uniform orthogonal structure grid for the entire analysis target area based on the received analysis target area data (step A).
1), the calculation area dividing unit 2 divides the calculation grid generated by the calculation grid generation unit 1 and sets a smaller number of calculation areas 11 than the number of high-precision calculation units 6 (step A).
2).
【0017】計算領域分割部2により分割される計算領
域11の数は、予め高精度計算部6の数よりも少ない数
に設定しておいても良く、また、計算領域階層的分割部
4により分割される高精度計算領域12の数が解析対象
領域内精度データとして事前に入力されている場合に
は、高精度計算部6の数から高精度計算領域12の数を
減算した数に設定されるように構成しても良い。The number of calculation areas 11 divided by the calculation area dividing unit 2 may be set in advance to a number smaller than the number of high precision calculation units 6, and by the calculation area hierarchical dividing unit 4. When the number of high-precision calculation areas 12 to be divided is input in advance as the precision data in the analysis target area, it is set to the number obtained by subtracting the number of high-precision calculation areas 12 from the number of high-precision calculation units 6. It may be configured to.
【0018】次に計算精度評価部3は、解析対象領域内
精度データに基づいて、計算領域分割部2により分割さ
れた計算領域11の計算精度を評価し(ステップA
3)、計算領域11の計算精度が計算格子生成部1によ
り生成された計算格子で充分か不充分かを判断する(ス
テップA4)。Next, the calculation accuracy evaluation unit 3 evaluates the calculation accuracy of the calculation area 11 divided by the calculation area dividing unit 2 based on the accuracy data in the analysis target area (step A).
3), it is determined whether the calculation accuracy of the calculation area 11 is sufficient or insufficient with the calculation grid generated by the calculation grid generation unit 1 (step A4).
【0019】ステップA4で不充分であると判断された
場合、計算領域階層的分割部4は、計算精度が不充分と
された計算領域11の内の計算精度が不充分な領域を高
精度計算領域12として階層的に分割し、図3に示すよ
うに、分割した高精度計算領域12を解析対象領域内精
度データの計算精度情報に基づいて新たな空間分解能の
高い格子領域を定義、すなわち計算格子生成部1により
生成させた計算格子よりも細かい計算格子を生成する
(ステップA5)。When it is determined in step A4 that the calculation accuracy is insufficient, the calculation area hierarchical division unit 4 calculates with high accuracy an area in which the calculation accuracy is insufficient among the calculation areas 11 in which the calculation accuracy is insufficient. As shown in FIG. 3, the region 12 is hierarchically divided, and the divided high-precision calculation region 12 is defined, that is, a new high-resolution grid region is defined based on the calculation precision information of the precision data in the analysis target region. A calculation grid smaller than the calculation grid generated by the grid generation unit 1 is generated (step A5).
【0020】ステップA4で全ての計算領域11(高精
度計算領域12が分割されている場合には高精度計算領
域12を除く領域)の計算精度が充分な場合、マッピン
グ部5は、計算領域分割部2により分割された計算領域
11と、計算領域階層的分割部4により分割された高精
度計算領域12とを複数の高精度計算部6にそれぞれ割
り当てマッピングする(ステップA6)。In step A4, when the calculation accuracy of all calculation areas 11 (areas excluding the high-precision calculation area 12 when the high-precision calculation area 12 is divided) is sufficient, the mapping unit 5 divides the calculation areas. The calculation region 11 divided by the unit 2 and the high-precision calculation region 12 divided by the calculation-region hierarchical dividing unit 4 are allocated and mapped to a plurality of high-precision calculation units 6 (step A6).
【0021】計算領域11が割り当てられた高精度計算
部6は、計算格子生成部1で生成された計算格子の計算
精度で計算を行い(ステップA7)、高精度計算領域1
2が割り当てられた高精度計算部6は、計算領域階層的
分割部4で生成された計算格子の計算精度で高精度計算
を行い(ステップA8)、分割された領域(計算領域1
1、高精度計算領域12)の境界のデータを隣接する領
域で共有することにより計算結果を受け渡して高精度計
算結果を得る(ステップA9)。なお、高精度計算領域
12の計算結果は、高精度計算領域12を包含する領域
(計算領域11、高精度計算領域12)での計算に用
い、この作業を一番大きい計算領域11まで行うことに
よって所望の解析を行う。The high precision calculation unit 6 to which the calculation region 11 is assigned performs calculation with the calculation precision of the calculation lattice generated by the calculation lattice generation unit 1 (step A7), and the high precision calculation region 1 is calculated.
The high precision calculation unit 6 to which 2 is assigned performs high precision calculation with the calculation precision of the calculation grid generated by the calculation region hierarchical division unit 4 (step A8), and the divided region (calculation region 1
1. The data of the boundary of the high-precision calculation area 12) is shared by the adjacent areas to transfer the calculation result and obtain the high-precision calculation result (step A9). The calculation result of the high-precision calculation area 12 is used for calculation in the area including the high-precision calculation area 12 (calculation area 11, high-precision calculation area 12), and this work is performed up to the largest calculation area 11. Perform the desired analysis by.
【0022】次に第1の実施の形態の動作を具体的なモ
デル例を挙げて図4を参照して詳細に説明する。図4
は、本発明に係る電磁場解析装置の第1の実施の形態が
解析対象とする計算対象モデル例を示す図である。Next, the operation of the first embodiment will be described in detail with reference to FIG. 4 by taking a concrete model example. Figure 4
FIG. 4 is a diagram showing an example of a calculation target model which is an analysis target in the first embodiment of the electromagnetic field analysis apparatus according to the present invention.
【0023】計算対象モデルは、図4を参照すると、デ
スクトップコンピュータの筐体22と、筐体22に格納
されているプリント基板23と、プリント基板23上の
配線24とを含んでおり、筐体22が部屋21におかれ
た状態でプリント基板23上の配線24からの1GHz
以下での電磁波放射がどのように放射しているかを解析
対象とする。Referring to FIG. 4, the model to be calculated includes a housing 22 of the desktop computer, a printed circuit board 23 stored in the housing 22, and wirings 24 on the printed circuit board 23. 1 GHz from the wiring 24 on the printed circuit board 23 in the state where 22 is placed in the room 21
The analysis target is how the electromagnetic radiation below is radiated.
【0024】部屋21の一辺が3m程度に設定され、筐
体22の一辺が50cm程度に設定され、プリント基板
23の一辺が30cm程度で厚さがmm単位で設定さ
れ、配線24の太さが0.2mm程度に設定されてい
る。従って、部屋21での解析に必要な計算格子の間隔
が数cmに対して、配線24周りの最小計算格子間隔が
0.01mmのオーダーになり、この計算対象モデルを
従来法で計算しようとすると、部屋全体を最小計算格子
間隔で分割しなければならなくなり、膨大な計算格子数
となり、計算時間も膨大となり、非現実的な計算量とな
ってしまう。One side of the room 21 is set to about 3 m, one side of the housing 22 is set to about 50 cm, one side of the printed circuit board 23 is set to about 30 cm, the thickness is set in mm, and the thickness of the wiring 24 is set. It is set to about 0.2 mm. Therefore, the minimum calculation grid interval around the wiring 24 is on the order of 0.01 mm, while the calculation grid interval required for analysis in the room 21 is several cm, and an attempt is made to calculate this model to be calculated by the conventional method. , The entire room must be divided at the minimum calculation grid interval, resulting in a huge number of calculation grids, a huge calculation time, and an unrealistic calculation amount.
【0025】本発明では、計算格子生成部1により部屋
21を対象とした計算格子(間隔:数cm)を生成し、
計算領域分割部2により部屋21を分割して、高精度計
算部6の数よりも少ない数の計算領域11を設定する。In the present invention, the calculation grid generation unit 1 generates a calculation grid (interval: several cm) for the room 21,
The room 21 is divided by the calculation area dividing unit 2 to set the number of calculation areas 11 smaller than the number of the high precision calculation units 6.
【0026】次に計算領域階層的分割部4により、筐体
22の領域を第1の階層の高精度計算領域12として計
算領域11から分割し、筐体22を対象とした計算格子
(間隔:数mm)を生成し、配線24周りの領域を第2
の階層の高精度計算領域12として計算領域11から分
割し、配線24周りを対象とした計算格子(間隔:0.
01mm)を生成する。Next, the calculation area hierarchical division unit 4 divides the area of the housing 22 from the calculation area 11 into the high-precision calculation area 12 of the first hierarchy, and the calculation grid (interval: A few millimeters) to generate a second area around the wiring 24.
Is divided from the calculation area 11 as the high-precision calculation area 12 of the hierarchy of, and the calculation grid (interval: 0.
01 mm) is generated.
【0027】次にマッピング部5により計算領域11
と、第1および第2の階層の高精度計算領域12とを複
数の高精度計算部6にそれぞれ割り当て、それぞれが割
り当てられた高精度計算部6により、計算領域11は、
部屋21を対象とした計算格子の計算精度で計算を行
い、第1の階層の高精度計算領域12は、筐体22を対
象とした計算格子の計算精度で計算を行い、第2の階層
の高精度計算領域12は、配線24周りを対象とした計
算格子の計算精度で計算を行う。Next, the mapping unit 5 calculates the calculation area 11
And the high-precision calculation areas 12 of the first and second hierarchies are respectively assigned to the plurality of high-precision calculation sections 6, and the high-precision calculation sections 6 assigned to each of the high-precision calculation areas 6 cause the calculation area 11 to
The calculation is performed with the calculation accuracy of the calculation grid for the room 21, and the high-accuracy calculation area 12 of the first hierarchy performs the calculation with the calculation accuracy of the calculation grid for the housing 22 and the calculation accuracy of the second hierarchy. The high-precision calculation area 12 performs calculation with the calculation accuracy of the calculation grid around the wiring 24.
【0028】(第2の実施の形態)図5は、本発明に係
る電磁場解析装置の第2の実施の形態の構成を示すブロ
ック図である。(Second Embodiment) FIG. 5 is a block diagram showing the configuration of the second embodiment of the electromagnetic field analysis apparatus according to the present invention.
【0029】第2の実施の形態は、図5を参照すると、
第1の実施の形態の構成に加えて各高精度計算部6の負
荷を均一にする負荷均等化部7が設けられている。The second embodiment will be described with reference to FIG.
In addition to the configuration of the first embodiment, a load equalization unit 7 that makes the load of each high precision calculation unit 6 uniform is provided.
【0030】負荷均等化部7は、各高精度計算部6でか
かる計算時間がほぼ同じ時間にするように、計算領域分
割部2により分割された計算領域11と、計算領域階層
的分割部4により分割された高精度計算領域12との計
算格子数を調整し、マッピング部5は、負荷均等化部7
により調整された各領域を複数の高精度計算部6にそれ
ぞれ割り当てる。The load equalization unit 7 and the calculation region hierarchical division unit 4 divide the calculation region 11 divided by the calculation region division unit 2 so that the calculation time required by each high precision calculation unit 6 is almost the same. The mapping unit 5 adjusts the number of calculation grids with the high-precision calculation region 12 divided by
Each area adjusted by is assigned to each of the plurality of high precision calculation units 6.
【0031】負荷均等化部7は、各高精度計算部6の計
算能力が均一の場合には、各高精度計算部6が受け持つ
計算格子数を等しくし、各高精度計算部6の計算能力が
異なる場合には、各高精度計算部6の計算能力を考慮し
て各高精度計算部6が受け持つ計算格子数を調整する。The load equalizing unit 7 equalizes the number of calculation grids that each high-precision calculating unit 6 is responsible for when the calculation capabilities of the high-precision calculating units 6 are uniform, so that the calculation capabilities of the high-precision calculating units 6 are equalized. When the values are different from each other, the number of calculation grids that each high-precision calculation unit 6 handles is adjusted in consideration of the calculation capability of each high-precision calculation unit 6.
【0032】負荷均等化部7による計算格子数の調整
は、隣り合う計算領域11もしくは高精度計算領域12
での計算格子数を比較し、計算格子数が多い方の領域か
ら計算格子数が少ない方の領域に計算格子を移動させる
ことにより行われる。なお、計算格子の領域間の移動に
際しては、各高精度計算部6が受け持つ計算領域が分断
することがない、すなわち各高精度計算部6が受け持つ
計算領域が連続した領域になるように行われる。The adjustment of the number of calculation grids by the load equalizing unit 7 is performed by adjoining the calculation areas 11 or the high-precision calculation areas 12.
It is performed by comparing the number of calculation grids in, and moving the calculation grid from the area having the larger calculation grid number to the area having the smaller calculation grid number. It should be noted that when the calculation grids are moved between the regions, the calculation regions covered by the respective high-precision calculation units 6 are not divided, that is, the calculation regions covered by the respective high-precision calculation units 6 are continuous regions. .
【0033】以上説明したように、本実施の形態によれ
ば、計算領域階層的分割部4により計算精度が不充分と
された計算領域11の内の計算精度が不充分な領域を高
精度計算領域12として階層的に分割して新たな空間分
解能の高い格子領域を定義するように構成することによ
り、解析対象領域の一部で空間分解能が高い解析が必要
となった場合でも、高精度解析が必要な領域のみ計算格
子を細かくすることができるため、全領域において計算
格子を細かくする必要がなく、全体の計算量が増加を防
ぎ、計算の高速性を実現でき、高精度解析にかかる計算
コストが低減させることができるという効果を奏する。As described above, according to the present embodiment, the calculation region hierarchical division unit 4 calculates the region with insufficient calculation precision out of the calculation regions 11 with insufficient calculation precision with high precision. Even if a high spatial resolution analysis is required for a part of the analysis target area, the area 12 is hierarchically divided to define a new grid area having a high spatial resolution. Since it is possible to make the calculation grid finer only in the area where the calculation is necessary, it is not necessary to make the calculation grid fine in all areas, and it is possible to prevent an increase in the total calculation amount, to realize high-speed calculation, and to perform calculations for high-precision analysis. The effect is that the cost can be reduced.
【0034】なお、本発明が上記各実施の形態に限定さ
れず、本発明の技術思想の範囲内において、各実施の形
態は適宜変更され得ることは明らかである。また、上記
構成部材の数、位置、形状等は上記実施の形態に限定さ
れず、本発明を実施する上で好適な数、位置、形状等に
することができる。なお、各図において、同一構成要素
には同一符号を付している。It should be noted that the present invention is not limited to the above-described embodiments, and it is obvious that each embodiment can be modified appropriately within the scope of the technical idea of the present invention. Further, the number, position, shape, etc. of the above-mentioned constituent members are not limited to those in the above-mentioned embodiment, and the number, position, shape, etc. suitable for carrying out the present invention can be adopted. In addition, in each figure, the same components are denoted by the same reference numerals.
【0035】[0035]
【発明の効果】本発明の電磁場解析装置および電磁場解
析方法は、計算領域階層的分割部により計算精度が不充
分とされた計算領域の内の計算精度が不充分な領域を高
精度計算領域として階層的に分割して新たな空間分解能
の高い格子領域を定義するように構成することにより、
解析対象領域の一部で空間分解能が高い解析が必要とな
った場合でも、高精度解析が必要な領域のみ計算格子を
細かくすることができるため、全領域において計算格子
を細かくする必要がなく、全体の計算量が増加を防ぎ、
計算の高速性を実現でき、高精度解析にかかる計算コス
トが低減させることができるという効果を奏する。According to the electromagnetic field analysis device and the electromagnetic field analysis method of the present invention, a region of insufficient calculation accuracy out of the calculation regions whose calculation precision is insufficient by the calculation region hierarchical division unit is set as a high precision calculation region. By hierarchically dividing and configuring to define a new high spatial resolution grid region,
Even if analysis with high spatial resolution is required in part of the analysis target area, the calculation grid can be made fine only in the area requiring high-precision analysis, so there is no need to make the calculation grid fine in all areas, The total amount of calculation is prevented from increasing,
It is possible to realize high-speed calculation and reduce the calculation cost for high-precision analysis.
【図1】本発明に係る電磁場解析装置の実施の形態の構
成を示すブロック図である。FIG. 1 is a block diagram showing a configuration of an embodiment of an electromagnetic field analysis apparatus according to the present invention.
【図2】本発明に係る電磁場解析装置の実施の形態の動
作を説明するためのフローチャートである。FIG. 2 is a flowchart for explaining the operation of the embodiment of the electromagnetic field analysis apparatus according to the present invention.
【図3】図1に示す計算領域階層的分割部による計算格
子の階層的分割の例を示す図である。3 is a diagram showing an example of hierarchical division of a calculation grid by a calculation area hierarchical division unit shown in FIG.
【図4】本発明に係る電磁場解析装置の第1の実施の形
態が解析対象とする計算対象モデル例を示す図である。FIG. 4 is a diagram showing an example of a calculation target model which is an analysis target in the first embodiment of the electromagnetic field analysis apparatus according to the present invention.
【図5】本発明に係る電磁場解析装置の第2の実施の形
態の構成を示すブロック図である。FIG. 5 is a block diagram showing a configuration of a second embodiment of an electromagnetic field analysis apparatus according to the present invention.
【符号の説明】 1 計算格子生成部 2 計算領域分割部 3 計算精度評価部 4 計算領域階層的分割部 5 マッピング部 6 高精度計算部 7 負荷均等化部 11 計算領域 12 高精度計算領域 21 部屋 22 筐体 23 プリント基板 24 配線[Explanation of symbols] 1 Computational grid generator 2 Calculation area division 3 Calculation accuracy evaluation section 4 Calculation Area Hierarchical Division 5 Mapping section 6 High-precision calculation section 7 Load equalization section 11 Computational domain 12 High-precision calculation area 21 rooms 22 housing 23 Printed circuit board 24 wiring
Claims (15)
数の計算領域に分割し、分解した前記計算領域を複数の
計算手段にそれぞれ割り当てて並列計算を行う電磁場解
析装置であって、 前記解析対象領域全体に均一な第1の計算格子を生成す
る計算格子生成手段と、 該計算格子生成手段により生成された前記第1の計算格
子を複数の前記計算領域に分割する第1の計算領域分割
手段と、 該第1の計算領域分割手段により分割された前記計算領
域の内の計算精度が不充分な領域を高精度計算領域とし
て分割し、求められる計算精度に応じて前記第1の計算
格子よりも細かい高精度計算格子を生成する第2の計算
領域分割手段と、 前記計算領域と前記高精度計算領域とを前記複数の計算
手段に割り当てる計算領域割り当て手段とを具備するこ
とを特徴とする電磁場解析装置。1. An electromagnetic field analysis apparatus for dividing a calculation grid generated in an analysis target area into a plurality of calculation areas, and assigning the decomposed calculation areas to a plurality of calculation means respectively for parallel calculation. A calculation grid generating unit that generates a uniform first calculation grid in the entire target region, and a first calculation region dividing unit that divides the first calculation lattice generated by the calculation grid generating unit into a plurality of calculation regions. Means, and an area of insufficient calculation accuracy among the calculation areas divided by the first calculation area dividing means is divided as a high-precision calculation area, and the first calculation grid is calculated according to the calculated calculation accuracy. A second calculation area dividing means for generating a finer high-precision calculation grid; and a calculation area allocation means for allocating the calculation area and the high-precision calculation area to the plurality of calculation means. Electromagnetic field analysis apparatus according to claim.
1の計算格子を前記複数の計算手段の数よりも少ない数
の前記計算領域に分割することを特徴とする請求項1記
載の電磁場解析装置。2. The first calculation area dividing means divides the first calculation grid into a smaller number of calculation areas than the number of the plurality of calculation means. Electromagnetic field analyzer.
れる計算精度に応じて前記高精度計算領域に前記第1の
計算格子よりも細かい前記高精度計算格子を階層的に生
成することを特徴とする請求項1又は2記載の電磁場解
析装置。3. The second calculation area dividing means hierarchically generates the high-precision calculation grid finer than the first calculation grid in the high-precision calculation area according to the required calculation accuracy. The electromagnetic field analysis device according to claim 1, which is characterized in that.
る前記計算領域の数を前記第2の計算領域分割手段によ
って分割される前記高精度計算領域の数に応じて設定す
ることを特徴とする請求項1乃至3のいずれかに記載の
電磁場解析装置。4. The first calculation area dividing unit sets the number of the calculation areas to be divided according to the number of the high precision calculation areas divided by the second calculation area dividing unit. The electromagnetic field analysis device according to any one of claims 1 to 3.
算領域および前記高精度計算領域の格子数を調整する格
子数調整手段を具備することを特徴とする請求項1乃至
4のいずれかに記載の電磁場解析装置。5. The grid number adjusting means for adjusting the number of grids of the calculation area and the high-accuracy calculation area assigned to the plurality of calculation means, according to any one of claims 1 to 4. Electromagnetic field analyzer.
手段の計算にかかる負荷が均等化されるように格子数を
調整することを特徴とする請求項5記載の電磁場解析装
置。6. The electromagnetic field analyzing apparatus according to claim 5, wherein the grid number adjusting unit adjusts the number of grids so that loads on the calculations of the plurality of calculating units are equalized.
算領域および前記高精度計算領域間で格子を移動させる
ことを特徴とする請求項5又は6記載の電磁場解析装
置。7. The electromagnetic field analyzing apparatus according to claim 5, wherein the grid number adjusting means moves a grid between the calculation area and the high precision calculation area which are adjacent to each other.
数の計算領域に分割し、分解した前記計算領域を複数の
計算手段にそれぞれ割り当てて並列計算を行う電磁場解
析方法であって、 前記解析対象領域全体に均一な第1の計算格子を生成
し、 当該第1の計算格子を複数の計算領域に分割し、 当該計算領域の内の計算精度が不充分な領域を高精度計
算領域として分割し、 当該高精度計算領域に求められる計算精度に応じて第1
の計算格子よりも細かい高精度計算格子を生成し、 前記計算領域と前記高精度計算領域とを前記複数の計算
手段に割り当てて並列計算を行うことを特徴とする電磁
場解析方法。8. An electromagnetic field analysis method in which a calculation grid generated in an analysis target area is divided into a plurality of calculation areas, and the decomposed calculation areas are respectively assigned to a plurality of calculation means to perform parallel calculation. A uniform first calculation grid is generated in the entire target area, the first calculation grid is divided into a plurality of calculation areas, and an area of insufficient calculation accuracy in the calculation area is divided as a high-precision calculation area. However, according to the calculation accuracy required for the high-precision calculation area, the first
A high-precision calculation grid smaller than the calculation grid is generated, and the calculation area and the high-precision calculation area are assigned to the plurality of calculation means to perform parallel calculation.
段の数よりも少ない数の前記計算領域に分割することを
特徴とする請求項8記載の電磁場解析方法。9. The electromagnetic field analysis method according to claim 8, wherein the first calculation grid is divided into a smaller number of the calculation areas than the plurality of calculation means.
度計算領域に前記第1の計算格子よりも細かい前記高精
度計算格子を階層的に生成することを特徴とする請求項
8又は9記載の電磁場解析方法。10. The high-precision calculation grid finer than the first calculation grid is hierarchically generated in the high-precision calculation area according to the calculated calculation accuracy. Electromagnetic field analysis method.
領域の数に応じて設定することを特徴とする請求項8乃
至10のいずれかに記載の電磁場解析方法。11. The electromagnetic field analysis method according to claim 8, wherein the number of calculation areas is set according to the number of high-precision calculation areas.
計算領域および前記高精度計算領域の格子数を調整する
ことを特徴とする請求項8乃至10のいずれかに記載の
電磁場解析方法。12. The electromagnetic field analysis method according to claim 8, wherein the number of grids in the calculation area and the high-precision calculation area assigned to the plurality of calculation means is adjusted.
荷が均等化されるように格子数を調整することを特徴と
する請求項8乃至10のいずれかに記載の電磁場解析方
法。13. The electromagnetic field analysis method according to claim 8, wherein the number of grids is adjusted so that the loads applied to the calculations of the plurality of calculation means are equalized.
度計算領域間で格子を移動させて前記計算領域および前
記高精度計算領域の格子数を調整することを特徴とする
請求項8乃至10のいずれかに記載の電磁場解析方法。14. The grid number is adjusted between the calculation area and the high-precision calculation area that are adjacent to each other to adjust the number of grids in the calculation area and the high-precision calculation area. The electromagnetic field analysis method described in Crab.
ずれかに記載の電磁場解析方法を実行させるためのプロ
グラム。15. A program for causing a computer to execute the electromagnetic field analysis method according to claim 8.
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| JP2005316754A (en) * | 2004-04-28 | 2005-11-10 | Fujitsu Ltd | Circuit analysis apparatus, circuit analysis method, and program for executing circuit analysis method |
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| JP2005316754A (en) * | 2004-04-28 | 2005-11-10 | Fujitsu Ltd | Circuit analysis apparatus, circuit analysis method, and program for executing circuit analysis method |
| JP2006004200A (en) * | 2004-06-17 | 2006-01-05 | Matsushita Electric Ind Co Ltd | 3D model data and mesh data creation device |
| JP2006127275A (en) * | 2004-10-29 | 2006-05-18 | Fujitsu Ltd | Electromagnetic wave analysis apparatus, electromagnetic wave analysis method, and electromagnetic wave analysis program |
| US8887115B1 (en) | 2013-04-17 | 2014-11-11 | Fujitsu Limited | Assigning method, recording medium, information processing apparatus, and analysis system |
| CN105260559A (en) * | 2015-10-31 | 2016-01-20 | 齐鲁工业大学 | Paper pulp fiber morphology parameter calculation method based on contour area and contour refinement |
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