Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations Conference Paper

abstract

• We present a two-scale finite element method for solving Brinkman's equations with piece-wise constant coefficients. This system of equations model fluid flows in highly porous, heterogeneous media with complex topology of the heterogeneities. We make use of the recently proposed discontinuous Galerkin FEM for Stokes equations by Wang and Ye in [12] and the concept of subgrid approximation developed for Darcy's equations by Arbogast in [4]. In order to reduce the error along the coarse-grid interfaces we have added a alternating Schwarz iteration using patches around the coarse-grid boundaries. We have implemented the subgrid method using Deal.II FEM library, [7], and we present the computational results for a number of model problems. 2010 Springer-Verlag Berlin Heidelberg.

authors

• Lazarov, Raytcho

published proceedings

• LARGE-SCALE SCIENTIFIC COMPUTING

author list (cited authors)

• Iliev, O. P., Lazarov, R. D., & Willems, J.

citation count

• 4

complete list of authors

• Iliev, Oleg P||Lazarov, Raytcho D||Willems, Joerg

editor list (cited editors)

• Lirkov, I., Margenov, S., & Wasniewski, J.

publication date

• June 2010

publisher

• Springer Nature  Publisher

published in

• Lecture Notes in Artificial Intelligence  Journal

keywords

• Brinkman's Equations
• Flow In Heterogeneous Porous Media
• Mixed Fem
• Numerical Upscaling
• Subgrid Approximation

Digital Object Identifier (DOI)

• 10.1007/978-3-642-12535-5_2

International Standard Book Number (ISBN) 10

• 3642125344

International Standard Book Number (ISBN) 13

• 978-3-642-12534-8

start page

• 14

end page

• +

volume

• 5910

URL

• http://dx.doi.org/10.1007/978-3-642-12535-5_2