Difference Scheme for Two-phase Flow
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摘要: 考虑两相流的力学行为，忽略相间的耗散作用，建立了Euler型的基本控制方程．状态方程采用刚性状态方程．基于Abgrall提出的准则，在流动区域内，对可压两相流提出了一个精度较高的Euler型数值方法，数值格式是Godunov型格式，对守恒型和非守恒型方程采用HLLC型和Lax-Friedrichs型近似Riemann解算器,引入了速度驰豫和压强驰豫过程来代替两相间的相互作用．在一维情形下给出数值算例，并且和Saurel的算例进行了比较，结果表明该算法不但精确而且稳定，且在间断处没有数值振荡．
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关键词:
- 可压二相流 /
- 迟豫过程 /
- 近似Riemann解算器
Abstract: A numerical method for two-phase flow with hydrodynamics behavior was considered. The nonconservative hyperbolic governing equations proposed by Saurel and Gallout were adopted. Dissipative effects were neglected but they could be included in the model without major difficulties. Based on the opinion proposed by Abgrall that "a two phase system, uniform in velocity and pressure at t=0 will be uniform on the same variable during its temporal evolution", a simple accurate and fully Eulerian numerical method was presented for the simulation of multiphase compressible flows in hydrodynamic regime. The numerical method relies on Godunov-type scheme, with HLLC and Lax-Friedrichs type approximate Riemann solvers for the resolution of conservation equations, and nonconservative equation. Speed relaxation and pressure relaxation processes were introduced to account for the interaction between the phases. Test problem was presented in one space dimension which illustrated that our scheme is accurate, stable and oscillation free. -
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