Scholarlink

This paper outlines a solver for the computation of exact solutions of non-classical Riemann problems for the 1D Euler equations of gas-dynamics. The rarefaction and compression wave curve structures are automatically detected by minimizing two cost functions that embed all relevant physical constraints. The presented solver is automated but expensive, and is not meant to be used for the computation of fluxes in a Godunov-type solver, but rather for the computation of reference solutions for the validation of numerical tools. Some sample Riemann problems with non-classical waves are presented.

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

Automatic Wave Curve Structure Detection for the Computation of Reference Solutions of Non-Classical Riemann Problems

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Giuseppe Sirianni,
  • Alberto Guardone,
  • Barbara Re

摘要

This paper outlines a solver for the computation of exact solutions of non-classical Riemann problems for the 1D Euler equations of gas-dynamics. The rarefaction and compression wave curve structures are automatically detected by minimizing two cost functions that embed all relevant physical constraints. The presented solver is automated but expensive, and is not meant to be used for the computation of fluxes in a Godunov-type solver, but rather for the computation of reference solutions for the validation of numerical tools. Some sample Riemann problems with non-classical waves are presented.