An anti-diffusive numerical scheme for the simulation of interfaces between compressible fluids by means of a five-equation model

作者：Kokh S^*; Lagoutiere F

来源：Journal of Computational Physics, 2010, 229(8): 2773-2809.

DOI：10.1016/j.jcp.2009.12.003

• Multi-component flows
• Interface problems
• Numerical diffusion
• Compressible flows
• Real fluids

We propose a discretization method of a five-equation model with isobaric closure for the simulation of interfaces between compressible fluids. This numerical solver is a Lagrange-Remap, scheme that aims at controlling the numerical diffusion of the interface between both fluids. This method does not involve any interface reconstruction procedure. The solver is equipped with built-in stability and consistency properties and is conservative with respect to mass, momentum, total energy and partial masses. This numerical scheme works with a very broad range of equations of state, including tabulated laws. Properties that ensure a good treatment of the Riemann invariants across the interface are proven. As a consequence, the numerical method does not create spurious pressure oscillations at the interface. We show one-dimensional and two-dimensional classic numerical tests. The results are compared with the approximate solutions obtained with the classic upwind Lagrange-Remap approach, and with experimental and previously published results of a reference test case.

• 出版日期2010-4-20
• 单位中国地震局