Multiphase, Multicomponent Flow in Porous Media with Local Thermal Non-equilibrium in a Multiphase Mixture Model

2016 ◽  
Vol 112 (2) ◽  
pp. 313-332 ◽  
Author(s):  
Franz Lindner ◽  
Michael Pfitzner ◽  
Christian Mundt
Keyword(s):  
Porous Media ◽  
Mixture Model ◽  
Flow In Porous Media ◽  
Multicomponent Flow ◽  
Multiphase Mixture ◽  
Non Equilibrium

scholarly journals Numerical Simulation of Multiphase Multicomponent Flow in Porous Media: Efficiency Analysis of Newton-Based Method

Fluids ◽  
2021 ◽  
Vol 6 (10) ◽  
pp. 355
Author(s):  
Timur Imankulov ◽  
Danil Lebedev ◽  
Bazargul Matkerim ◽  
Beimbet Daribayev ◽  
Nurislam Kassymbek
Keyword(s):  
Porous Media ◽  
Linear Equations ◽  
Computation Time ◽  
Flow In Porous Media ◽  
Multicomponent Flow ◽  
Original Matrix ◽  
Sparsity Pattern ◽  
Speed Up ◽  
Systems Of Linear Equations ◽  
The One

Newton’s method has been widely used in simulation multiphase, multicomponent flow in porous media. In addition, to solve systems of linear equations in such problems, the generalized minimal residual method (GMRES) is often used. This paper analyzed the one-dimensional problem of multicomponent fluid flow in a porous medium and solved the system of the algebraic equation with the Newton-GMRES method. We calculated the linear equations with the GMRES, the GMRES with restarts after every m steps—GMRES (m) and preconditioned with Incomplete Lower-Upper factorization, where the factors L and U have the same sparsity pattern as the original matrix—the ILU(0)-GMRES algorithms, respectively, and compared the computation time and convergence. In the course of the research, the influence of the preconditioner and restarts of the GMRES (m) algorithm on the computation time was revealed; in particular, they were able to speed up the program.

scholarly journals Splitting in systems of PDEs for two-phase multicomponent flow in porous media

2016 ◽  
Vol 53 ◽  
pp. 25-32 ◽  
Author(s):  
S. Borazjani ◽  
A.J. Roberts ◽  
P. Bedrikovetsky
Keyword(s):  
Porous Media ◽  
Flow In Porous Media ◽  
Multicomponent Flow ◽  
Two Phase ◽  
Systems Of Pdes
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