论文标题
如何训练求解器：对平滑颗粒流体动力学的边界条件的验证
How to train your solver: Verification of boundary conditions for smoothed particle hydrodynamics
论文作者
论文摘要
已经采用了弱化的平滑颗粒流体动力学（WCSPH）方法来模拟涉及流体和固体的各种物理现象。已经提出了各种方法来实施实心壁，入口/出口和其他边界条件。但是，尚未仔细讨论或检查这些方法的错误估计和正式的收敛速率。在本文中，我们使用制造解决方案（MMS）的方法来验证各种固体，入口和出口边界实现的各种常用的收敛性。为了进行这项研究，我们建议针对不同领域的各种制造解决方案。根据这些方法提供的收敛性，我们系统地提出了一种收敛的WCSPH方案，以及用于实施边界条件的合适方法。我们还通过使用圆形圆柱体的流量来求解该流程来证明所提出的方案的准确性。除了使用自适应分辨率方面的其他最新发展外，这为使用SPH方法准确有效地模拟了不可压缩或弱压缩流体流的方式铺平了道路。
The weakly compressible smoothed particle hydrodynamics (WCSPH) method has been employed to simulate various physical phenomena involving fluids and solids. Various methods have been proposed to implement the solid wall, inlet/outlet, and other boundary conditions. However, error estimation and the formal rates of convergence for these methods have not been discussed or examined carefully. In this paper, we use the method of manufactured solution (MMS) to verify the convergence properties of a variety of commonly employed of various solid, inlet, and outlet boundary implementations. In order to perform this study, we propose various manufactured solutions for different domains. On the basis of the convergence offered by these methods, we systematically propose a convergent WCSPH scheme along with suitable methods for implementing the boundary conditions. We also demonstrate the accuracy of the proposed scheme by using it to solve the flow past a circular cylinder. Along with other recent developments in the use of adaptive resolution, this paves the way for accurate and efficient simulation of incompressible or weakly-compressible fluid flows using the SPH method.
