An approximate Riemann solver for a two-phase flow model with numerically given slip relation

Computers and Fluids

Volumn 27, Issue 4, 1998, Pages 455-477

  Romate, J E ^a  

^a SHELL RESEARCH AND TECHNOLOGY CENTRE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS; PIPE FLOW; PROBLEM SOLVING; VECTORS;

RIEMANN SOLVER; ROE METHOD; SLIP RELATIONS;

TWO PHASE FLOW;

MATHEMATICAL MODELING; SLIP; TWO-PHASE FLOW;

EID: 0032077801     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(97)00067-4     Document Type: Article

References (10)

1. Einfeldt B. On Godunov-type methods for gas dynamics. SIAM Journal on Numerical Analysis. 25:1988;294-318.
2. Harten A., Lax P. D., van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review. 25:1983;35-61.
3. Sainsaulieu L. Finite volume approximation of two phase-fluid flows based on an approximate Roe-type Riemann solver. Journal of Computational Physics. 121:1995;1-28.
4. Toumi I., Kumbaro A. An approximate linearized Riemann solver for a two-fluid model. Journal of Computational Physics. 124:1996;286-300.
5. Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics. 43:1981;357-372.
6. Huang L. C. Pseudo-unsteady difference schemes for discontinuous solutions of steady-state one-dimensional fluid dynamics problems. Journal of Computational Physics. 42:1981;195-211.
7. Harten A., Hyman J. M. Self adjusting grid methods for one-dimensional hyperbolic conservation laws. Journal of Computational Physics. 50:1983;235-269.
8. Einfeldt B., Munz C. D., Roe P. L., Sjögreen B. On Godunov-type methods near low densities. Journal of Computational Physics. 92:1991;273-295.
9. Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics. 49:1983;357-393.
10. Romate, J. E. and Meiring, W.J., Solving a hyperbolic two-phase flow model with flow-dependent slip relation. In Numerical Methods for Fluid Dynamics V, ed. K.W. Morton and M.J. Baines. Clarendon Press, Oxford, 1995, pp. 557-564.