Adaptive dynamic grids and mimetic finite difference method for miscible displacement problem

DOI10.1134/s1995080224010025zbMATH Open1542.65081MaRDI QIDQ6544397

Kirill M. Terekhov, Ahmad S. Abushaikha

Publication date: 27 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

adaptive meshadvection-diffusion equationmiscible displacementmimetic finite difference

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Direct numerical methods for linear systems and matrix inversion (65F05) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

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• Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term

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