Augmented MPM for phase-change and varied materials
Augmented MPM for phase-change and varied materials
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DOI：
10.1145/2601097.2601176
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
A. Stomakhin;Craig A. Schroeder;Chenfanfu Jiang;Lawrence Chai;J. Teran;Andrew Selle
中科院分区：
文献类型：
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作者：
A. Stomakhin;Craig A. Schroeder;Chenfanfu Jiang;Lawrence Chai;J. Teran;Andrew Selle
在本文中，我们介绍了一种用于热传递、材料熔化和凝固的新型物质点方法。这使得物质点方法（本就用途广泛）能够处理更广泛的材料行为。这与那些难以适应多种材料的一流的流体、固体或刚体求解器形成对比。扩展物质点方法需要多方面的贡献。我们引入了本构模型的膨胀/偏量分解，并表明对膨胀部分的欧拉演化进行隐式处理可用于模拟任意不可压缩材料。此外，我们表明对于中等可压缩性，这种处理可简化为一个抛物方程，在不可压缩极限下则简化为一个椭圆的、乔林式投影。由于投影自然是在标记与网格（MAC）上进行的，我们设计了一种交错网格物质点方法。最后，为了生成不同的材料参数，我们将一个热方程求解器适配到物质点框架中。
In this paper, we introduce a novel material point method for heat transport, melting and solidifying materials. This brings a wider range of material behaviors into reach of the already versatile material point method. This is in contrast to best-of-breed fluid, solid or rigid body solvers that are difficult to adapt to a wide range of materials. Extending the material point method requires several contributions. We introduce a dilational/deviatoric splitting of the constitutive model and show that an implicit treatment of the Eulerian evolution of the dilational part can be used to simulate arbitrarily incompressible materials. Furthermore, we show that this treatment reduces to a parabolic equation for moderate compressibility and an elliptic, Chorin-style projection at the incompressible limit. Since projections are naturally done on marker and cell (MAC) grids, we devise a staggered grid MPM method. Lastly, to generate varying material parameters, we adapt a heat-equation solver to a material point framework.