A Fully Implicit Hybrid Solution Method for a Two-Phase Thermal-Hydraulic Model

2005 ◽  
Vol 127 (5) ◽  
pp. 531-539 ◽  
Author(s):  
Vincent A. Mousseau
Keyword(s):  
Solution Method ◽  
Solution Algorithm ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations ◽  
Cpu Time ◽  
Fully Implicit ◽  
Hybrid Solution ◽  
Solution Methods ◽  
Balanced Solution

This paper will present a hybrid solution algorithm for the two-phase flow equations coupled to wall heat conduction. The partial differential equations in the physical model are the same as in RELAP5. The hybrid solution algorithm couples two solution methods, the solution method currently employed by RELAP5 and an implicitly balanced solution method. The resulting hybrid solution method is both fast and accurate. Results will be presented that show when accuracy and CPU time are considered simultaneously that there are ranges when the hybrid solution algorithm is preferred over the RELAP5 solution method.

A Hybrid Solution Method for the Two-Phase Fluid Flow Equations

2004 ◽  
Author(s):  
Vincent A. Mousseau
Keyword(s):  
Solution Method ◽  
Accurate Solution ◽  
Solution Algorithm ◽  
Time Step ◽  
Two Phase ◽  
Flow Equations ◽  
Hybrid Solution ◽  
Solution Methods ◽  
Fast Solution ◽  
Balanced Solution

This paper will present a hybrid solution algorithm for the two-phase flow equations coupled to wall heat conduction. The partial differential equations in the physical model are the same as in RELAP5. The hybrid solution algorithm couples two solution methods, the solution method currently employed by RELAP5 and an implicitly balanced solution method. The RELAP5 solution method provides a fast solution that is “close” to the correct solution. The implicitly balanced solution method provides an accurate solution that is very stable. The resulting hybrid solution method is both fast and accurate. Results will be presented that show the hybrid solution method is more accurate than the RELAP5 solution method for the same size time step. In addition, results will be presented that show when accuracy and CPU time are considered simultaneously that there are ranges when the hybrid solution algorithm is preferred over the RELAP5 solution method.

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.

Electrostatic Charged Two-Phase Flow Equations

2007 ◽  
Author(s):  
Zhentao Wang ◽  
Jianlong Wen ◽  
Junfeng Wang ◽  
Zhihua Tang ◽  
Tiqian Luo
Keyword(s):  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Equations
Sign in / Sign up

Export Citation Format

Share Document