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http://dx.doi.org/10.5139/JKSAS.2009.37.1.017

Accurate and Robust Computations of Gas-Liquid Two-Phase Flows Part 2: Preconditioned Two-Phase Schemes for All Speeds  

Ihm, Seung-Won (서울대학교 기계항공공학부 대학원)
Kim, Chong-Am (서울대학교 기계항공공학부, 항공우주신기술연구소)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.37, no.1, 2009 , pp. 17-27 More about this Journal
Abstract
Two-phase RoeM and AUSMPW+ schemes are preconditioned for the simulation of all Mach number flows, which are generally of interest for many gas-liquid two-phase application problems, because of large speed of sound in liquid region and low speed of sound in mixture or gas region. Conventional characteristic based schemes lose their accuracy or robustness in low Mach number flows, because their numerical dissipation terms are scaled by speed of sound, which is too large compared with local velocity magnitude in a low Mach region. All speed versions of RoeM and AUSMPW+ reflect the eigenvalues of the preconditioned governing system, which have the same order of magnitude even in low Mach number region. From the asymptotic analysis, it is observed that the discretized system by the developed schemes is consistent with the continuum system in the incompressible limit. The numerical results show the accurate and robust behavior of the proposed shcemes for all speed two-phase flows.
Keywords
Preconditioning; Asymptotic Analysis; RoeM; AUSMPW+; Two-Phase Flow; All Mach Number Flow;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Guillard, H., Viozat, C., "On the behaviour of upwind schemes in the low Mach number limit", Computers & Fluids, Vol. 28, 1999, pp. 63-86.   DOI   ScienceOn
2 Liou, M. -S., "A sequel to AUSM, Part II: AUSM+-up for all speeds", Journal of Computational Physics, Vol. 214, 2006, pp. 137-170.   DOI   ScienceOn
3 Merkle, C. L., Feng, J., Buelow, P. E. O.,Sheet Cavitation", Proceedings of the 3rd "Computational Modeling of the Dynamics of International Symposium on Cavitation, Grenoble, France, 1998.
4 Rouse, H., MeNown, J. S., "Cavitation and Pressure Distribution, Head Forms at Zero Angle of Yaw", Studies in Engineering, Bulletin 32, State university of Iowa, 1948.
5 Kunz, R. F., Lindau, J. W., Billet, M. L., and Stinebring, D. R., "Multiphase CFD Modeling of Developed and Supercavitating Flows", VKI Special Course on Supercavitating Flows, Feb. 2001.
6 Owis, F. M. and Nayfeh, A. H., "Computations of the Compressible Multiphase Flow Over the Cavitating High-Speed Torpedo", Journal of Fluids Engineering, Vol. 125, 2003, pp. 459-468.   DOI   ScienceOn
7 Venkateswaran, S., and Merkle, C. L., "Analysis of Preconditioning Methods for the Euler and Navier-Stokes Equations", 1999-03, VKI Lecture Series on CFD, March, 1999.
8 Turkel, E., "A Review of Preconditioning Methods for Fluid Dynamics", Applied Numerical Mathematics, Vol. 12, 1993, pp. 258-284.
9 이재은, 박수형, 권장혁, “저속 압축성 유동에서 예조건화 방법을 이용한 수렴성 증진에 대한 연구”, 한국항공우주학회지, Vol. 33(8), 2005, pp. 8-17.
10 이상현, “예조건화 오일러 방정식의 계산 오차 문제”, 한국항공우주학회지, Vol. 35(7), 2007, pp. 586-591.
11 Edwards, J. R., and Liou, M. -S., "Low-Diffusion Flux-Splitting Methods for Flows at All Speeds", AIAA Journal, Vol. 36, No. 6, 1998, pp. 1610-1617.   DOI   ScienceOn
12 Edwards, J. R., Franklin, R. K., and Liou, M. -S., "Low-Diffusion Flux-Splitting Methods for Real Fluid Flows with Phase Transitions", AIAA Journal, Vol. 38, No. 9, 2000, pp. 1624-1633.   DOI   ScienceOn
13 Luo, H., Baum, J. D., Lohner, R., "Extension of Harten-Lax-van Leer Scheme for Flows at All Speeds", AIAA Journal, Vol. 43, No. 6, 2005, pp. 1160-1166.   DOI   ScienceOn
14 Li, D., Sankaran, V., Lindau, J. W., and Merkle, C. L., "Computational Formulation for Multi-Phase and Multi-Component Flows", 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1391, Reno, NV, 2005.