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math.NA2026
Adaptive Consistency for Mimetic Finite Differences
Yoo Jin Cha, Omar Duran, Nicola Castelletto +2
The mimetic finite difference (MFD) method provides a robust discretization for flow simulation on general polyhedral meshes, but its computational cost can become significant due…
math.NA2024
Pressure stability in explicitly coupled simulations of poromechanics with application to CO sequestration
Ryan M. Aronson, Pavel Tomin, Nicola Castelletto +3
We study in detail the pressure stabilizing effects of the non-iterated fixed-stress splitting in poromechanical problems which are nearly undrained and incompressible. When applie…
math.NA2024
Pressure-stabilized fixed-stress iterative solutions of compositional poromechanics
Ryan M. Aronson, Nicola Castelletto, François P. Hamon +2
We consider the numerical behavior of the fixed-stress splitting method for coupled poromechanics as undrained regimes are approached. We explain that pressure stability is related…