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Abstract <p>The work presents a mathematical description and testing of a numerical method for solving gas-dynamics equations (Euler equations). This mathematical method is based on the nonlinear compact polynomial computational method. It should also be noted that, to find the solution to the gas-dynamics equations, a transition was made (in the vicinity of the computational cell <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\Omega }_{i}}\)</EquationSource> <!--TechPhLt2670006Kuzenov-m1--> </InlineEquation>) in a local curvilinear coordinate system. An initial verification of the numerical method proposed in the work was carried out.</p>

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Using the Nonlinear Compact Polynomial Method for Numerical Solution of Gas-Dynamics Equations

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • V. V. Kuzenov,
  • S. V. Ryzhkov

摘要

Abstract

The work presents a mathematical description and testing of a numerical method for solving gas-dynamics equations (Euler equations). This mathematical method is based on the nonlinear compact polynomial computational method. It should also be noted that, to find the solution to the gas-dynamics equations, a transition was made (in the vicinity of the computational cell \({{\Omega }_{i}}\) ) in a local curvilinear coordinate system. An initial verification of the numerical method proposed in the work was carried out.