论文标题
使用嵌套网格上的多机方法对二阶精度的自我赠与力计算
Self-gravitational Force Calculation of Second Order Accuracy Using Multigrid Method on Nested Grids
论文作者
论文摘要
我们提出了一个简单有效的基于多族的泊松索索森求解器，其重力潜力和力在一个，二和无穷大规范方面都具有二阶精度。该方法特别适用于使用嵌套网格细化的数值模拟。使用单向接口方案从粗糙的水平求解泊松方程。我们引入了反对称的线性插值，以评估跨越多机层次结构的边界条件。在改进水平之间的界面上通常观察到的伪造力被有效地抑制。我们使用二维密度 - 力对验证该方法，这些密度对足够平滑，可以探测准确性的顺序。
We present a simple and effective multigrid-based Poisson solver of second-order accuracy in both gravitational potential and forces in terms of the one, two and infinity norms. The method is especially suitable for numerical simulations using nested mesh refinement. The Poisson equation is solved from coarse to fine levels using a one-way interface scheme. We introduce anti-symmetrically linear interpolation for evaluating the boundary conditions across the multigrid hierarchy. The spurious forces commonly observed at the interfaces between refinement levels are effectively suppressed. We validate the method using two- and three-dimensional density-force pairs that are sufficiently smooth for probing the order of accuracy.
