scholarly journals Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method

2021 ◽  
pp. S317-S344
Author(s):  
Li Luo ◽  
Xiao-Chuan Cai ◽  
David E. Keyes
Keyword(s):  
Porous Media ◽  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Two Phase Flows ◽  
Two Phase ◽  
Flows In Porous Media ◽  
Fully Implicit

Runge–Kutta discontinuous Galerkin method for Baer–Nunziato model with ‘simple WENO’ limiting of conservative variables

2021 ◽  
Vol 36 (2) ◽  
pp. 57-74
Author(s):  
Mikhail Alekseev ◽  
Evgeny Savenkov
Keyword(s):  
Mathematical Model ◽  
Galerkin Method ◽  
Numerical Simulations ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Numerical Algorithm ◽  
Hyperbolic Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Runge Kutta

Abstract The work is devoted to the application of Runge–Kutta discontinuous Galerkin (RKDG) method for solving Baer–Nunziato hyperbolic model for nonequilibrium two-phase flows. The approach is based on the application of the simple WENO limiter directly to the conservative variables. Mathematical model and the corresponding numerical algorithm are described. The results of numerical simulations for 1D and 2D tests are presented and discussed.

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