A High-order Accurate RKDG Finite Element Method for One-dimensional Compressible Multicomponent Euler Equation

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (1): 43-49.

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A High-order Accurate RKDG Finite Element Method for One-dimensional Compressible Multicomponent Euler Equation

CHEN Rong-san¹, YU Xi-jun²

1. Graduate School of China Academy of Engineering Physics, Beijing 100088, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2004-09-22 Revised:2005-03-22 Online:2006-01-25 Published:2006-01-25

Abstract

Abstract: The RKDG finite element method, Level Set method and modified Ghost Fluid method with Isentropic fix are used to simulate a one-dimensional compressible multicomponent Euler equation. A third-order accurate RKDG finite element method is used to solve the Euler equation, the Level Set equation and the re-initiation equation. Numerical tests on one-dimensional compressible two-fluid flows are made and satisfactory results are obtained.

Key words: RKDG finite element method, Level Set method, Ghost Fluid method, Isentropic fix

CLC Number:

CHEN Rong-san, YU Xi-jun. A High-order Accurate RKDG Finite Element Method for One-dimensional Compressible Multicomponent Euler Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(1): 43-49.

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A High-order Accurate RKDG Finite Element Method for One-dimensional Compressible Multicomponent Euler Equation

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