scholarly journals A discontinuous Galerkin method for a diffuse-interface model of immiscible two-phase flows with soluble surfactant

2021 ◽  
Author(s):  
Deep Ray ◽  
Chen Liu ◽  
Beatrice Riviere
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Diffuse Interface ◽  
Interface Model ◽  
Two Phase Flows ◽  
Diffuse Interface Model ◽  
Two Phase ◽  
Soluble Surfactant

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.

scholarly journals On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

2015 ◽  
Vol 35 (6) ◽  
pp. 2497-2522 ◽  
Author(s):  
Michela Eleuteri ◽  
◽  
Elisabetta Rocca ◽  
Giulio Schimperna ◽  
◽  
...  
Keyword(s):  
Incompressible Fluids ◽  
Diffuse Interface ◽  
Interface Model ◽  
Two Phase Flows ◽  
Diffuse Interface Model ◽  
Two Phase
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