Publicación: STABILITY AND CONVERGENCE FOR A COMPLETE MODEL OF MASS DIFFUSION
Fecha
2011
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APPLIED NUMERICAL MATHEMATICS
Resumen
WE PROPOSE A FULLY DISCRETE SCHEME FOR APPROXIMATING A THREE-DIMENSIONAL, STRONGLY NONLINEAR MODEL OF MASS DIFFUSION, ALSO CALLED THE COMPLETE KAZHIKHOV?SMAGULOV MODEL. THE SCHEME USES A FINITE-ELEMENT APPROXIMATION FOR ALL UNKNOWNS (DENSITY, VELOCITY AND PRESSURE), EVEN THOUGH THE DENSITY LIMIT, SOLUTION OF THE CONTINUOUS PROBLEM, BELONGS TO . A FIRST-ORDER TIME DISCRETIZATION IS USED SUCH THAT, AT EACH TIME STEP, ONE ONLY NEEDS TO SOLVE TWO DECOUPLED LINEAR PROBLEMS FOR THE DISCRETE DENSITY AND THE VELOCITY?PRESSURE, SEPARATELY.
