Conservative Models and Numerical Methods for Compressible Two-Phase Flow

被引:81
|
作者
Romenski, Evgeniy [1 ,2 ]
Drikakis, Dimitris [1 ]
Toro, Eleuterio [3 ]
机构
[1] Cranfield Univ, Aerosp Sci Dept, Fluid Mech & Computat Sci Grp, Cranfield MK43 0AL, Beds, England
[2] Russian Acad Sci, Sobolev Inst Math, Novosibirsk, Russia
[3] Univ Trent, Lab Appl Math, Fac Engn, I-38050 Trento, Italy
关键词
Hyperbolic conservation laws; Compressible two-phase flow; Finite volume method; TO-DETONATION TRANSITION; SYSTEMS; EQUATIONS; LAWS;
D O I
10.1007/s10915-009-9316-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper presents the computational framework for solving hyperbolic models for compressible two-phase flow by finite volume methods. A hierarchy of two-phase flow systems of conservation-form equations is formulated, including a general model with different phase velocities, pressures and temperatures; a simplified single temperature model with equal phase temperatures; and an isentropic model. The solution of the governing equations is obtained by the MUSCL-Hancock method in conjunction with the GFORCE and GMUSTA fluxes. Numerical results are presented for the water faucet test case, the Riemann problem with a sonic point and the water-air shock tube test case. The effect of the pressure relaxation rate on the numerical results is also investigated.
引用
收藏
页码:68 / 95
页数:28
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