Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions
复制标题

非局部相互作用驱动的连续性方程组的有限体积法

DOI：
--
复制
发表时间：
2019
期刊：
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
影响因子：
--
通讯作者：
Thomas Rey
Thomas Rey
中科院分区：
--
文献类型：
--
作者：
Anissa Keurti;Thomas Rey

文献摘要

被引文献

相似文献

本文提出了一种新的有限体积方法，用于计算模拟相互作用物质的非局部输运方程系统的数值近似。这种方法是基于工作[F. Delarue，F. Lagoutire，N.张文，点势凝聚方程迎风格式的收敛性分析，张文。Lebesgue 2019]，其中非局部连续性方程被视为具有非局部、非线性、粗糙速度场的保守输运方程。我们分析了该方法的一些性质，并通过数值模拟说明了结果。
We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the work [F. Delarue, F. Lagoutire, N. Vauchelet, Convergence analysis of upwind type schemes for the aggregation equation with pointy potential, Ann. Henri. Lebesgue 2019], where the nonlocal continuity equations are 10 treated as conservative transport equations with a nonlocal, nonlinear, rough velocity field. We analyze some properties of the method, and illustrate the results with numerical simulations.