We present a hybrid mimetic finite-difference and virtual element formulation for coupled single-phase poromechanics on unstructured meshes. The key advantage of the scheme is that it is convergent on complex meshes containing highly distorted cells with arbitrary shapes. We use a local pressure-jump stabilization method based on unstructured macro-elements to prevent the development of spurious pressure modes in incompressible problems approaching undrained conditions. A scalable linear solution strategy is obtained using a block-triangular preconditioner designed specifically for the saddle-point systems arising from the proposed discretization. The accuracy and efficiency of our approach are demonstrated numerically on two-dimensional benchmark problems.
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics / Borio, Andrea; Hamon, François P.; Castelletto, Nicola; White, Joshua A.; Settgast, Randolph R.. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - ELETTRONICO. - 383(2021), p. 113917. [10.1016/j.cma.2021.113917]
|Titolo:||Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics|
|Data di pubblicazione:||2021|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.cma.2021.113917|
|Appare nelle tipologie:||1.1 Articolo in rivista|