Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 422, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2022.114923
Keywords
Navier-Stokes; Darcy flow; Beavers-Joseph-Saffman; Hybridized methods; Discontinuous Galerkin; Multiphysics
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We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows that the velocity error does not depend on the pressure, and that velocity and pressure converge with optimal rates. These results are confirmed by numerical examples.
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite element method for the coupled incompressible Navier-Stokes and Darcy problem with Beavers-Joseph-Saffman interface condition. An a priori error analysis shows that the velocity error does not depend on the pressure, and that velocity and pressure converge with optimal rates. These results are confirmed by numerical examples.(c) 2022 Elsevier B.V. All rights reserved.
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