Scholarlink

Abstract <p>A method is proposed that makes it possible to increase the accuracy of shock capturing numerical schemes inside centered rarefaction waves arising as a result of the discontinuity decay in the initial data of the approximated Cauchy problem for a hyperbolic system of conservation laws. This method is based on the condensation of the numerical grid at a certain initial time interval of the considered problem. Test calculations of the special Cauchy problem for shallow water equations are presented, demonstrating the capabilities of this method.</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 Increasing the Accuracy of Difference Schemes When Calculating Centered Rarefaction Waves

  • 期刊论文

  • 发表日期：

    2025年4月25日

查看全文
  • V. V. Ostapenko,
  • E. I. Polunina,
  • N. A. Khandeeva

摘要

Abstract

A method is proposed that makes it possible to increase the accuracy of shock capturing numerical schemes inside centered rarefaction waves arising as a result of the discontinuity decay in the initial data of the approximated Cauchy problem for a hyperbolic system of conservation laws. This method is based on the condensation of the numerical grid at a certain initial time interval of the considered problem. Test calculations of the special Cauchy problem for shallow water equations are presented, demonstrating the capabilities of this method.