Application of Preconditioning Method to Gas-Liquid Two-Phase Flow Computations

[+] Author and Article Information
Byeong Rog Shin

Department of Mechanical Engineering, Changwon National University, Changwon 641-773, Koreae-mail: brshin@changwon.ac.kr

Satoru Yamamoto

Department of Aeronautic and Space Engineering, Tohoku University, Sendai 980-8579, Japan

Xin Yuan

Department of Thermal Engineering, Tsinghua University, Beijing 100084, P.R. China

J. Fluids Eng 126(4), 605-612 (Sep 10, 2004) (8 pages) doi:10.1115/1.1777230 History: Received May 27, 2003; Revised February 18, 2004; Online September 10, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.


Matsumoto, Y., Kanbara, T., Sugiyama, K., and Tamura, Y., 1998, “Numerical Study of Cavitating Flow on a Hydrofoil,” Proc. ASME PVP Conf. ASME PVP-Vol. 377-2, pp. 243–248.
Deshpande,  M. , 1997, “Numerical Modeling of the Thermodynamic Effects of Cavitation,” J. Fluids Eng., 119, pp. 420–427.
Reboud, J. L. et al., 1998, “Two-Phase Flow Structure of Cavitation: Experimental and Modeling of Unsteady Effects,” Proc. 3rd Int. Symp. on Cavitation, 1 , pp. 203–208.
Chen,  Y., and Heister,  S. D., 1995, “Two-Phase Modeling of Cavitated Flows,” Comput. Fluids, 24, pp. 799–809.
Singhal, A. K. et al., 1997, “Multi-Dimensional Simulation of Cavitating Flows Using a PDF Model for Phase Change,” ASME Paper FEDSM97-3272.
Merkle, C. L. et al., 1998, “Computational Modeling of the Dynamics of Sheet Cavitation,” Proc. 3rd Int. Symp. on Cavitation, 2 , pp. 307–311.
Shin,  B. R., Iwata,  Y., and Ikohagi,  T., 2003, “Numerical Simulation of Unsteady Cavitating Flows Using a Homogeneous Equilibrium Model,” Comp. Mech., 30, pp. 388–395.
Iga,  Y., Shin,  B. R., and Ikohagi,  T., 2003, “Numerical Study of Sheet Cavitation Breakoff Phenomenon on a Cascade Hydrofoil,” ASME J. Fluids Eng., 125, pp. 643–651.
Yee, H. C., 1987, “Upwind and Symmetric Shock-Capturing Scheme,” NASA TM-89464, 1987.
van Leer,  B., 1979, “Towards the Ultimate Conservative Difference Scheme V. A Second-Order Sequel to Godunov’s Method,” J. Comput. Phys., 32, pp. 101–136.
Shin, B. R., and Ikohagi, T., 1999, “Numerical Analysis of Unsteady Cavity Flows Around a Hydrofoil,” ASME Paper FEDSM99-7215.
Shin, B. R. et al., 2001, “Numerical Analysis of Cavitating Flow Through a 2-D Decelerating Cascade,” Proc. 1st Int. Conf. on Comput. Fluid Dyn, ICCFD, Computational Fluid Dynamics 2000, (ed., N. Satofuka), Springer-Verlag, Berlin, pp. 651–656.
Shin, B. R., 2001, “Numerical Analysis of Unsteady Cavitating Flow by a Homogeneous Equilibrium Model,” AIAA Paper 2001–2909.
Chen,  H. T., and Collins,  R., 1971, “Shock Wave Propagation Past on Ocean Surface,” J. Comput. Phys., 7, pp. 89–101.
Beattie,  D. R. H., and Whally,  P. B., 1982, “A Simple Two-Phase Frictional Pressure Drop Calculation Method,” Int. J. Multiphase Flow, 8, pp. 83–87.
Choi,  Y. H., and Merkle,  C. L., 1993, “The Application of Preconditioning in Viscous Flows,” J. Comput. Phys., 105, pp. 207–233.
Edwards,  J. R. , 2000, “Low-Diffusion Flux-Splitting Methods for Real Fluid Flows With Phase Transitions,” AIAA J., 38, pp. 1624–1633.
Weiss,  J. M., and Smith,  W. A., 1995, “Preconditioning Applied to Variable and Constant Density Flows,” AIAA J., 33, pp. 2050–2057.
Kunz,  R. F. , 2000, “A Preconditioned Navier-Stokes Method for Two-Phase Flows With Application to Cavitation Prediction,” Comput. Fluids, 29, pp. 849–875.
Roe,  P. L., 1981, “Approximate Riemann Solvers, Parameter Vectors and Difference Scheme,” J. Comp. Phys.,43, pp. 357–372.
Shin,  B. R., 2003, “A Stable Numerical Method Applying a TVD Scheme for Incompressible Flow,” AIAA J., 41(1), pp. 49–55.
Jameson, A. et al., 1981, “Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes,” AIAA Paper 81-1259.
Kueny,  J. L., and Binder,  G., 1984, “Viscous Flow Over Backward Facing Steps, An Experimental Investigation,” Note on Numerical Fluid Mechanics,9, pp. 32–47, Vieweg.
Shin,  B. R. , 1993, “An Unsteady Implicit SMAC Scheme for Two-Dimensional Incompressible Navier-Stokes Equations,” JSME Int. J., 36-B, pp. 598–606.
Murai,  H., and Ibuki,  S., 1981, “Research on Axial-Flow Turbomachinery With Swept-Back or Swept-Forward Blades (Report 1, Experimental Research on Cascade of Swept-Back Blades),” Mem. Inst. High Speed Mech., Tohoku Univ.,47, pp. 117–142.
Kikuchi,  H., 1959, “An Experimental Study on Stall Chaaracteristics in Decelerating Cascade (Report 1),” Mem. Inst. High Speed Mech., Tohoku Univ.,14(139), pp. 193–219.
Stutz,  B., and Reboud,  J. L., “Measurements Within Unsteady Cavitation,” Exp. Fluids, 29, pp. 545–552.
Stutz,  B., and Reboud,  J. L., 1997, “Two Phase Flow Structure of Sheet Cavitation,” Phys. Fluids 9(12), pp. 3678–3686.


Grahic Jump Location
Comparison of measured and predicted velocity profiles for a backward-facing step at several mach numbers
Grahic Jump Location
Comparison of lift and drag coefficients
Grahic Jump Location
Comparison of velocity profiles for 4-deg divergent nozzle
Grahic Jump Location
Comparison of void fraction distributions for 4-deg divergent nozzle
Grahic Jump Location
Comparison of velocity profiles for 8-deg divergent nozzle
Grahic Jump Location
Time-averaged density, void fraction and pressure contours for 8-deg divergent nozzle
Grahic Jump Location
Time evolution of cavity flow (void fraction) for 8-deg divergent nozzle



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In