HCC: Small: Embedded Meshes for Flow and Fracture

该提案的重点是将嵌入式网格应用于涉及体积（主要是流体）界面的模拟，以及裂缝模拟。嵌入网格是包含在有限体积内的详细多边形网格，其中还定义了在更粗的水平上量化的标量场。由于模拟的标量场随时间变化，多边形网格顶点在体积内移动，由标量场时间变化产生的流驱动。这是一种隐式-参数混合模型，可用于有效地解决许多感兴趣的问题，因为有些计算只能使用参数模型更有效地执行，而其他计算则使用隐式模型。该建议提出了一个详细的计划，以扩展将界面（嵌入网格）的单独拉格朗日离散化与流体的欧拉离散化相结合的思想。

The proposal is focused on applications of embedded meshes to simulations involving interfaces in volumes, primarily fluids, but also fracture simulations. Embedded meshes are detailed polygonal meshes contained within a finite volume where a scalar field quantized at a much coarser level is also defined. As the scalar field changes over time as a result of the simulation, the polygon mesh vertices move within the volume, driven by the flow created by the scalar field time changes. This is a hybrid implicit-parametric model which can be used to efficiently solve a number of problems of interest, since some computations can only be performed more efficiently using parametric models, and others using implicit models. The propsal presents a detailed plan for extending the idea of combining a separate Lagrangian discretization of the interface (embedded mesh) with Eulerian discretizations for fluids.