期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 37, 期 3, 页码 863-887出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0036142996307119
关键词
weighted particle approximation; conservation laws; convergence; measure valued solutions
This paper is devoted to the study of the convergence of weighted particle approximation of nonlinear multidimensional conservation laws. For Euler equations the method is closely related to the smooth particle hydrodynamics (SPH) method. Extension of the original algorithm is proposed. We use approximate Riemann solvers instead of artificial viscosity in order to stabilize the scheme. The mathematical analysis is performed by connecting this new approach with the finite volume scheme. Convergence of the approximate solution in L-loc(p) (p < infinity) towards the unique weak entropy solution of the Cauchy problem is obtained in the scalar nonlinear case by using uniqueness of measure valued solutions.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据