We present a new intersection-distribution-based remapping method between arbitrary polygonal meshes for indirect staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. All cell-centered material quantities are conservatively remapped using intersections between the Lagrangian (old, source) mesh and the rezoned (new, target) mesh. The new nodal masses are obtained by conservative distribution of all material masses in each new cell to the cell's corners and then collecting those corner masses at new nodes. This distribution is done using a local constrained optimization approach for each cell in the new mesh. In order to remap nodal momentum we first define cell-centered momentum for each cell in the old mesh, conservatively remap this to the new mesh and then conservatively distribute the new zonal momentum to each cell's bounding nodes, again using local constrained optimization. Our method also conserves total energy by applying a new nodal kinetic energy correction that relies on a process similar to that used for remapping nodal mass and momentum. Cell-centered kinetic energy is computed, conservatively remapped and then distributed to nodes. The discrepancy between this conservatively remapped and actual nodal kinetic energy is then conservatively distributed to the internal energies of the materials in the cells surrounding each node. Unlike conventional cell-based corrections of this type, this new nodal kinetic energy correction has not been observed to drive material internal energy negative in any of our testing. Unlike flux based remapping, our new intersection-distribution method can be applied to remapping between source and target meshes that are arbitrarily different, which provides superior flexibility in the rezoning strategy. Our method is accurate, essentially conservative and essentially bounds preserving.

我们提出了一种新的基于交点分布的任意多边形网格之间的重映射方法，用于间接交错的多材料任意拉格朗日-欧拉流体动力学。使用拉格朗日（旧的，源）网格和重分区（新的，目标）网格之间的交点保守地重映射所有以单元为中心的材料量。通过将每个新单元中所有物质的质量保守分配到该单元的角，然后在新节点处收集这些角质量，可以得到新的节点质量。使用新的网格中每个像元的局部约束优化方法来完成此分布。为了重新映射节点动量，我们首先为旧网格中的每个单元定义以单元为中心的动量，然后保守地将其重映射到新网格，然后将新的纬向动量保守地分配给每个单元。s的边界节点，再次使用局部约束优化。我们的方法还通过应用新的节点动能校正来节省总能量，该校正依赖于与用于重新映射节点质量和动量的过程类似的过程。计算以细胞为中心的动能，保守地重新映射，然后分配给节点。然后，保守地重新映射的节点动能与实际节点动能之间的差异会保守地分配给每个节点周围单元中​​材料的内部能。与这种类型的常规基于单元的校正不同，在我们的任何测试中都未观察到这种新的节点动能校正会导致材料内部能量为负。与基于流量的重新映射不同，我们的新交叉分布方法可以应用于任意不同的源网格和目标网格之间的重映射，这在重分区策略中提供了卓越的灵活性。我们的方法是准确的，本质上是保守的和本质上是保持边界的。