| DIFFERENCE SCHEME FOR TWO-PHASE FLOW |
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| 作者姓名： | 李强 封建湖 蔡体敏 胡春波 |
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| 作者单位： | [1]Box164,NorthwesternPolytechnicalUniversity,Xi＇an710072,P.R.China [2]CollegeofScience,ChanganUniversity,Xi＇an710064,P.R.China |
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| 基金项目： | theAerospaceScienceFoundationofChina ( 0 3c53 0 2 1 ) |
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| 摘 要： | 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-typescheme, 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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| 关 键 词： | 流体力学 压缩性双相流 非守恒双曲线控制方程 近似黎曼解算机 欧拉-拉格朗日模型 |
| 收稿时间： | 17 May 2002 |
Difference scheme for two-phase flow |
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| Li Qiang,Feng Jian-hu,Cai Ti-min,Hu Chun-bo.DIFFERENCE SCHEME FOR TWO-PHASE FLOW[J].Applied Mathematics and Mechanics(English Edition),2004,25(5):536-545. |
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| Authors: | Li Qiang Feng Jian-hu Cai Ti-min Hu Chun-bo |
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| Institution: | 1. Box 164, Northwestern Polytechnical University, Xi' an 710072, P. R. China
2. College of Science, Changan University, Xi' an 710064, P. R. China |
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| 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.
Foundation item: the Aerospace Science Foundation of China (03c53021)
Biography: LI Qiang(1976 ≈), Doctor |
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| Keywords: | compressible two-phase flow relaxation process approximate Riemann solver |
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