Eulerian method for multiphase interactions of soft solid bodies in fluids
Eulerian method for multiphase interactions of soft solid bodies in fluids
复制标题
流体中软固体多相相互作用的欧拉方法
DOI：
10.1115/1.4029765
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
K. Kamrin
中科院分区：
文献类型：
--
作者：
B. Valkov;C. Rycroft;K. Kamrin
我们介绍了一个欧拉方法的问题，涉及一个或多个软固体浸没在流体中，它允许所有阶段之间的机械相互作用。利用参考映射变量在与流体相相同的固定网格上模拟固体中的有限变形本构关系，这大大简化了相之间的耦合。我们的耦合过程，在目前的工作中的一个关键贡献，被证明是计算速度更快，更稳定的比以前的方法，并承认有能力模拟流体-固体和固体-固体之间的相互作用淹没机构。通过多个弱可压缩Navier-Stokes流体与neo-Hookean固体相互作用的算例，验证了该方法的收敛性。固体接触法，利用距离措施已经存在的网格上，演示了两个例子。介绍了一种新的跨界面外推的通用程序，并将其用作新界面处理的一部分。
We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation constitutive relations in the solid(s) on the same fixed grid as the fluid phase, which greatly simplifies the coupling between phases. Our coupling procedure, a key contribution in the current work, is shown to be computationally faster and more stable than an earlier approach, and admits the ability to simulate both fluid--solid and solid--solid interaction between submerged bodies. The interface treatment is demonstrated with multiple examples involving a weakly compressible Navier--Stokes fluid interacting with a neo-Hookean solid, and we verify the method's convergence. The solid contact method, which exploits distance-measures already existing on the grid, is demonstrated with two examples. A new, general routine for cross-interface extrapolation is introduced and used as part of the new interfacial treatment.