A dual mortar approach for mesh tying within a variational multiscale method for incompressible flow

摘要: In the present work, coupling of computational subdomains with non-conforming discretizations is addressed in context residual-based variational multiscale finite element methods for incompressible fluid flow. A mortar method using dual Lagrange multipliers is introduced handling coupling conditions at arbitrary fluid-fluid interfaces. Recently, have been successfully applied in the field nonlinear solid mechanics, example, to weakly impose interface constraints finite deformation contact. The focus this study on both integration approach into an existing framework and investigation resulting interplay between terms. We analyze effects either constraining only velocity or velocity pressure degrees freedom internal interfaces Lagrange multipliers. Moreover, it demonstrated that allows an efficient condensation of additional multiplier from global system equations. As a result, the typical but undesirable saddle-point structure completely removed. proposed method validated numerically various three-dimensional examples, including complex patientspecific aneurysm, its accuracy efficiency comparison standard conforming discretizations is demonstrated.