Turbulent Kinetic Energy in an Approximate Riemann Solver

Pub Date : 2024-07-18 DOI:10.1134/s0965542524700532

M. I. Boldyrev

引用次数: 0

Abstract

Turbulent kinetic energy (TKE) is taken into account in the approximate HLLC Riemann solver. The Euler equations are supplemented with a hyperbolic equation for TKE, and turbulent pressure is taken into account in the momentum and energy balance equations. The Jacobian of this system of equations and its eigenvalues are found, which are used to modify the HLLC solver. The validity of TKE allowance in the modified HLLC Riemann solver is verified by solving Sod’s problem. It is shown that the scheme is unstable at high turbulent pressure if turbulence is ignored in the computation of characteristic velocities.

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近似黎曼求解器中的湍流动能

摘要近似 HLLC 黎曼求解器考虑了湍流动能（TKE）。在欧拉方程中补充了一个关于 TKE 的双曲方程，动量和能量平衡方程中考虑了湍流压力。找到了该方程组的雅各布及其特征值，用于修改 HLLC 求解器。通过求解索德问题，验证了修改后的 HLLC 黎曼求解器中 TKE 津贴的有效性。结果表明，如果在计算特征速度时忽略湍流，则该方案在高湍流压力下不稳定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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