Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method |
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| Authors: | Mohammed Louaked Nour Seloula Saber Trabelsi |
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| Affiliation: | 1. Laboratoire de mathématiques Nicolas Oresme, UMR 6139 CNRS BP 5186, Université de Caen Basse Normandie;2. Mathematical and Computer Sciences and Engineering Division, King Abdullah University of Science and Technology |
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| Abstract: | In this work, we propose and analyze the pressure stabilization method for the unsteady incompressible Brinkman‐Forchheimer equations. We present a time discretization scheme which can be used with any consistent finite element space approximation. Second‐order error estimate is proven. Some numerical results are also given.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1949–1965, 2017 |
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| Keywords: | continuous dependence stability brinkman equations |
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