Computations of Homogeneous-Equilibrium Two-Phase Flows with Accurate and Efficient Shock-Stable Schemes

被引:29
作者
Ihm, Seung-Won [1 ]
Kim, Chongam [1 ]
机构
[1] Seoul Natl Univ, Dept Aerosp Engn, Inst Adv Aerosp Technol, Seoul 151742, South Korea
关键词
D O I
10.2514/1.35097
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
For accurate and efficient computations of compressible gas-liquid two-phase mixture flows, the AUSMPW+ and RoeM schemes (for which the accuracy, efficiency, and robustness have been successfully demonstrated in gas dynamics) are extended to two-phase flows at all speeds. From the mixture equations of state, a new shock-discontinuity-sensing term suitably scaled for two-phase flows is derived and its performance is validated. In addition, several numerical difficulties appearing in the development of the two-phase AUSMPW+ and RoeM schemes are analyzed and successfully cured. The two-phase AUSMPW+ and RoeM schemes are then efficiently preconditioned for the simulation of all Mach number flows by employing the existing AUSM or Harten-Lax-van Leer with contact restoration types of preconditioning strategies. Various gas-liquid two-phase flows, from highly compressible to nearly incompressible flow conditions., are tested. The numerical results show the accurate and robust behavior of the proposed schemes for all speeds or two-phase flows.
引用
收藏
页码:3012 / 3037
页数:26
相关论文
共 30 条
[1]   Computations of compressible multifluids [J].
Abgrall, R ;
Karni, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 169 (02) :594-623
[2]  
[Anonymous], 2006, GASDYNAMIC ASPECTS 2
[3]   INTERACTION BETWEEN OCEAN SURFACE AND UNDERWATER SPHERICAL BLAST WAVES [J].
BALLHAUS, WF ;
HOLT, M .
PHYSICS OF FLUIDS, 1974, 17 (06) :1068-1079
[4]   MASS-TRANSFER CHARACTERISTICS OF GASES IN AQUEOUS AND ORGANIC LIQUIDS AT ELEVATED PRESSURES AND TEMPERATURES IN AGITATED REACTORS [J].
CHANG, MY ;
MORSI, BI .
CHEMICAL ENGINEERING SCIENCE, 1991, 46 (10) :2639-2650
[5]   Low-diffusion flux-splitting methods for flows at all speeds [J].
Edwards, JR ;
Liou, MS .
AIAA JOURNAL, 1998, 36 (09) :1610-1617
[6]   Low-diffusion flux-splitting methods for real fluid flows with phase transitions [J].
Edwards, JR ;
Franklin, RK ;
Liou, MS .
AIAA JOURNAL, 2000, 38 (09) :1624-1633
[7]   Total variation diminishing Runge-Kutta schemes [J].
Gottlieb, S ;
Shu, CW .
MATHEMATICS OF COMPUTATION, 1998, 67 (221) :73-85
[8]   On the behaviour of upwind schemes in the low Mach number limit [J].
Guillard, H ;
Viozat, C .
COMPUTERS & FLUIDS, 1999, 28 (01) :63-86
[9]   The Euler equations for multiphase compressible flow in conservation form - Simulation of shock-bubble interactions [J].
Hankin, RKS .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 172 (02) :808-826
[10]   Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows - Part II: Multi-dimensional limiting process [J].
Kim, KH ;
Kim, C .
JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 208 (02) :570-615