Numerical method of the Riemann problem for two-dimensional multi-fluid flows with general equation of state |
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Authors: | Bai Jing-Song Zhang Zhan-Ji Li Ping and Zhong Min |
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Affiliation: | Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Mianyang 621900, China |
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Abstract: | Based on the classical Roe method, we develop an interface capture method
according to the general
equation of state, and extend the single-fluid Roe method to the
two-dimensional (2D) multi-fluid flows, as
well as construct the continuous Roe matrix for the whole flow field. The
interface capture equations and
fluid dynamic conservative equations are coupled together and solved by
using any high-resolution
schemes that usually suit for the single-fluid flows. Some numerical
examples are given to illustrate the
solution of 1D and 2D multi-fluid Riemann problems. |
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Keywords: | Riemann problem multi-fluid flows Roe scheme general equation of state |
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