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首页> 外文期刊>Journal of Computational Physics >An approximate linearized characteristic Riemann solver based on blending of Riemann invariants
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An approximate linearized characteristic Riemann solver based on blending of Riemann invariants

机译：基于黎曼不变量混合的近似线性化特征黎曼求解器

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A new linearized characteristic upwind approximate Riemann solver is proposed based on the blending of the Riemann invariants. The scheme is based on the linearization of the differential relations along the characteristic curves of the one-dimensional hyperbolic conservation laws. It involves construction of the parameters at the cell interface such that they are consistent with the system of characteristic relations. A third order MUSCL reconstruction was used in the present work. Upwinding in the scheme is carried out by upwinding of the Riemann invariants. In this paper the development of the scheme from the compatibility relations for the Euler equations is described. The scheme was then applied to solve various cases of shock tube problems, two-dimensional Riemann problems and finally, as a practical example, it was used to carry out LES of a subsonic jet. The scheme was found to perform remarkably well for all the cases and is extremely computationally efficient, thus making it ideal for practical applications where high accuracy and high speed computation are required.
机译：基于黎曼不变量的混合，提出了一种新的线性化特征迎风近似黎曼求解器。该方案基于一维双曲守恒定律的特征曲线的微分关系的线性化。它涉及在单元接口处构造参数，以使其与特征关系系统一致。在当前工作中使用了三阶MUSCL重建。该方案的上风是通过黎曼不变量的上风来进行的。本文描述了从Euler方程相容关系建立的方案。然后将该方案用于解决各种情况的激波管问题，二维黎曼问题，最后，作为一个实际示例，它被用于执行亚音速射流的LES。发现该方案在所有情况下均表现出色，并且在计算上极为高效，因此使其成为需要高精度和高速计算的实际应用的理想选择。

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