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首页> 外文期刊>Journal of Computational Physics >Modified kinetic flux vector splitting schemes for compressible flows
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Modified kinetic flux vector splitting schemes for compressible flows

机译：可压缩流的修正动量矢量分裂方案

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摘要

We investigate the traditional kinetic flux vector splitting (KFVS) and BGK schemes for the compressible Euler equations. First, based on a careful study of the behavior of the discrete physical variables across the contact discontinuity, we analyze quantitatively the mechanism of inducing spurious oscillations of the velocity and pressure in the vicinity of the contact discontinuity for the first-order KFVS and BGK schemes. Then, with the help of this analysis, we propose a first-order modified KFVS (MKFVS) scheme which is oscillation-free in the vicinity of the contact discontinuity, provided certain consistent conditions are satisfied. Moreover, by using piecewise linear reconstruction and van Leer's limiter, the first-order MKFVS scheme is extended to a second-order one, consequently, a nonoscillatory second-order MKFVS scheme is constructed. Finally, by combing the MKFVS schemes with the γ-model, we successfully extend the MKFVS schemes to multi-flows, and propose therefore a first- and second-order MKFVS schemes for multi-fluid computations, which are nonoscillatory across fluid interfaces. A number of numerical examples presented in this paper validate the theoretic analysis and demonstrate the good performance of the MKFVS schemes in simulation of contact discontinuities for both single- and multi-fluids.
机译：我们研究可压缩的欧拉方程的传统动量矢量分裂（KFVS）和BGK方案。首先，基于对接触间断处离散物理变量行为的仔细研究，我们针对一阶KFVS和BGK方案，定量分析了在接触间断处附近引起速度和压力杂散振荡的机制。 。然后，借助此分析，我们提出了一阶修改的KFVS（MKFVS）方案，只要满足某些一致的条件，该方案在接触不连续点附近是无振荡的。此外，通过使用分段线性重构和范利尔限幅器，将一阶MKFVS方案扩展到了二阶MKFVS方案，从而构造了非振荡的二阶MKFVS方案。最后，通过将MKFVS方案与γ模型相结合，我们成功地将MKFVS方案扩展到多流，并因此提出了用于多流体计算的一阶和二阶MKFVS方案，该方案在流体界面之间是非振荡的。本文提供的许多数值示例验证了理论分析，并证明了MKFVS方案在模拟单流体和多流体接触不连续性方面的良好性能。

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