Scholarlink

Abstract <p>A Lax–Friedrichs–Rusanov splitting of the flux vector is considered, which is implemented as splitting with respect to physical (transport) processes. It is shown that this splitting is a consequence of one change of variables. Two approaches to the formulation of boundary conditions for problems with split flux vectors are proposed, which ensure a zero splitting error. Based on these approaches, high-order accurate approximations are constructed for Dirichlet and free outflow boundary conditions in the case of a quasilinear advection equation and for the impermeable solid wall condition in the case of the Euler equations. It is demonstrated that the new conditions as applied to bicompact schemes lead to a significant gain in accuracy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

High-Accuracy Difference Boundary Conditions for Bicompact Schemes with Splitting over Transport Processes

  • 期刊论文

  • 发表日期：

    2025年9月1日

查看全文
  • M. D. Bragin

摘要

Abstract

A Lax–Friedrichs–Rusanov splitting of the flux vector is considered, which is implemented as splitting with respect to physical (transport) processes. It is shown that this splitting is a consequence of one change of variables. Two approaches to the formulation of boundary conditions for problems with split flux vectors are proposed, which ensure a zero splitting error. Based on these approaches, high-order accurate approximations are constructed for Dirichlet and free outflow boundary conditions in the case of a quasilinear advection equation and for the impermeable solid wall condition in the case of the Euler equations. It is demonstrated that the new conditions as applied to bicompact schemes lead to a significant gain in accuracy.