Scholarlink

Abstract <p>A vertex-centered scheme is considered that is based on monotonicity-preserving edge-based reconstruction of variables for solving the Euler equations on unstructured meshes. Unlike a similar scheme that is based on quasi-one-dimensional WENO-reconstructions, the new method provides less dissipation and consequently a higher accuracy of the numerical solution. This property is demonstrated by solving two-dimensional model problems on uniform, quasi-uniform, and compressing triangular meshes.</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

On Implementation of Monotonicity Preserving Reconstruction of Variables in EBR Schemes

  • 期刊论文

  • 发表日期：

    2026年6月15日

查看全文
  • M. V. Abakumov,
  • I. V. Abalakin,
  • V. A. Isakov,
  • T. K. Kozubskaya

摘要

Abstract

A vertex-centered scheme is considered that is based on monotonicity-preserving edge-based reconstruction of variables for solving the Euler equations on unstructured meshes. Unlike a similar scheme that is based on quasi-one-dimensional WENO-reconstructions, the new method provides less dissipation and consequently a higher accuracy of the numerical solution. This property is demonstrated by solving two-dimensional model problems on uniform, quasi-uniform, and compressing triangular meshes.