High Accuracy Flux Splitting Method for Numerical Solution of Euler Equation

doi:10.3969/j.issn.1000-1093.2019.12.020

Abstract

Abstract: A new scheme to couple the energy-convective upwind and split pressure (E-CUSP) scheme with the weighted essentially non-oscillatory (WENO) scheme is proposed for Euler equation. In the spatial direction, the flux of low dissipation E-CUSP scheme is reconstructed using high-precision WENO scheme. Fourth-order total variation reduction Runge-Kutta method is used for propulsion in time direction. On this base, a high accuracy flux splitting method for solving Euler equation is proposed. It is found through numerical simulation of shock tube that the proposed scheme can be used to simulate the shock tube problem and capture the shock wave and contact discontinuity more accurately compared to E-CUSP scheme. The numerical results show that the proposed scheme has higher accuracy and robustness. Key

Key words: Eulerequation, fluxsplittingmethod, computationalfluiddynamics, energy-convectiveupwindandsplitpressurescheme, weightedessentiallynon-oscillatoryscheme

CLC Number:

O351.2

ZHENG Qiuya, SU Ningya, LIANG Yihua. High Accuracy Flux Splitting Method for Numerical Solution of Euler Equation[J]. Acta Armamentarii, 2019, 40(12): 2545-2550.

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第40卷
第12期2019 年12月兵工学报ACTA
ARMAMENTARIIVol.40No.12Dec.2019

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