2000 character limit reached
A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem (2210.06937v1)
Published 13 Oct 2022 in math.NA and cs.NA
Abstract: 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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.