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The Coarse Mesh Condensation Multiscale Method for parallel computation of heterogeneous linear structures without scale separation

機(jī)譯：粗網(wǎng)格凝聚多尺度方法可并行計(jì)算異構(gòu)體線性結(jié)構(gòu)而無(wú)尺度分離

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摘要

A Coarse Mesh Condensation Multiscale Method (CMCM) is proposed to solve large heterogeneous linear structures without scale separation assumption. The technique aims to approximate the full field solution in heterogeneous structures by performing parallel calculations on subdomains. In the linear case, treated in this paper, direct linear relationships can be established between a reduced number of parameters describing Dirichlet boundary conditions on the subdomains boundaries and the degrees of freedom of a coarse mesh. The problem associated with the coarse mesh can be solved in one iteration and allows reconstructing the fine mesh solution in all subdomains. The accuracy of the method is analyzed through benchmarks involving subdomains crossed by the interfaces. Applications to large industrial finite element applications are presented, including one involving around 1.3 billion degrees of freedom. (C) 2020 Elsevier B.V. All rights reserved.
機(jī)譯：提出了一種粗網(wǎng)格凝聚多尺度方法（CMCM）來(lái)解決大型非均質(zhì)線性結(jié)構(gòu)而無(wú)需尺度分離的假設(shè)。該技術(shù)旨在通過(guò)對(duì)子域執(zhí)行并行計(jì)算來(lái)近似異構(gòu)結(jié)構(gòu)中的全場(chǎng)解。在本文討論的線性情況下，可以在描述子域邊界上的Dirichlet邊界條件的數(shù)量減少的參數(shù)與粗糙網(wǎng)格的自由度之間建立直接線性關(guān)系?？梢酝ㄟ^(guò)一次迭代解決與粗糙網(wǎng)格相關(guān)的問(wèn)題，并允許在所有子域中重建精細(xì)網(wǎng)格解決方案。通過(guò)基準(zhǔn)測(cè)試來(lái)分析該方法的準(zhǔn)確性，該基準(zhǔn)測(cè)試涉及接口交叉的子域。介紹了在大型工業(yè)有限元應(yīng)用中的應(yīng)用，其中包括涉及約13億自由度的應(yīng)用。 （C）2020 Elsevier B.V.保留所有權(quán)利。

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  • 來(lái)源
    《Computer Methods in Applied Mechanics and Engineering》 |2020年第may1期|112877.1-112877.30|共30頁(yè)
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  • 作者單位

    Univ Paris Est MSME Lab Modelisat & Simulat Multi Echelle UMR 8208 CNRS 5 Bd Descartes F-77454 Marne La Vallee France|Safran Tech Etab Paris Saclay Rue Jeunes Bois Chateaufort F-78114 Magny Les Hameaux France;

    Univ Paris Est MSME Lab Modelisat & Simulat Multi Echelle UMR 8208 CNRS 5 Bd Descartes F-77454 Marne La Vallee France;

    Safran Tech Etab Paris Saclay Rue Jeunes Bois Chateaufort F-78114 Magny Les Hameaux France;

  • 收錄信息 美國(guó)《科學(xué)引文索引》(SCI);美國(guó)《工程索引》(EI);
  • 原文格式 PDF
  • 正文語(yǔ)種 eng
  • 中圖分類
  • 關(guān)鍵詞

    Multiscale methods; Composites; Parallel calculations; CMCM;

    機(jī)譯：多尺度方法;復(fù)合材料;并行計(jì)算;CMCM;

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