The Numerical Solution of Certain Nonlinear Supersonic Flow Problems on the IBM Card Programmed Calculator

1954 ◽  
Vol 21 (3) ◽  
pp. 205-206
Author(s):  
R. E. Bower ◽  
J. H. Higman
Keyword(s):  
Supersonic Flow ◽  
Numerical Solution ◽  
Flow Problems

NUMERICAL SOLUTION FOR HYPERBOLIC CONSERVATIVE TWO-PHASE FLOW EQUATIONS

2007 ◽  
Vol 04 (02) ◽  
pp. 299-333 ◽  
Author(s):  
D. ZEIDAN ◽  
A. SLAOUTI ◽  
E. ROMENSKI ◽  
E. F. TORO
Keyword(s):  
Numerical Solution ◽  
Riemann Problem ◽  
Two Phase Flow ◽  
Numerical Dissipation ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations ◽  
Flow Problems ◽  
Slope Limiter ◽  
Two Phases

We outline an approximate solution for the numerical simulation of two-phase fluid flows with a relative velocity between the two phases. A unified two-phase flow model is proposed for the description of the gas–liquid processes which leads to a system of hyperbolic differential equations in a conservative form. A numerical algorithm based on a splitting approach for the numerical solution of the model is proposed. The associated Riemann problem is solved numerically using Godunov methods of centered-type. Results show the importance of the Riemann problem and of centered schemes in the solution of the two-phase flow problems. In particular, it is demonstrated that the Slope Limiter Centered (SLIC) scheme gives a low numerical dissipation at the contact discontinuities, which makes it suitable for simulations of practical two-phase flow processes.

Numerical solution of unsteady flow problems in porous media by spline functions

1978 ◽  
Vol 38 (1-2) ◽  
pp. 179-195 ◽  
Author(s):  
Ali H. Dogru ◽  
William Alexander ◽  
Ronald L. Panton
Keyword(s):  
Porous Media ◽  
Unsteady Flow ◽  
Numerical Solution ◽  
Spline Functions ◽  
Flow Problems
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