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Pure vorticity formulation and Galerkin discretization for the Brinkman equations
2016
IMA Journal of Numerical Analysis
We introduce a new finite element method for the approximation of the three-dimensional Brinkman problem formulated in terms of the velocity, vorticity, and pressure fields. The proposed strategy exhibits the advantage that, at the continuous level, a complete decoupling of vorticity and pressure can be established under the assumption of sufficient regularity. The velocity is then obtained as a simple postprocess from vorticity and pressure, using the momentum equation. Well-posedness follows
doi:10.1093/imanum/drw056
fatcat:gkwljoqworcgxoc4o6mmwh3plq