A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds
speaker: Andriy Sokolov (TU Dortmund)abstract: We present an FCT stabilized Radial Basis Function (RBF)-Finite Di erence (FD) method for the numerical solution of convection dominated problems. The proposed algorithm is designed to main- tain mass conservation and to guarantee positivity of the solution for an almost random placement of scattered data nodes. The method can be applicable both for problems de ned in a domain or if equipped with level set techniques, on a stationary manifold. We demonstrate the numerical behavior of the method by performing numerical tests for the solid-body rotation benchmark in a unit square and for a transport problem along a curve implicitly prescribed by a level set function. Extension of the proposed method to higher dimensions is straightforward and easily realizable.
In collaboration with: Oleg Davydov, Dmitri Kuzmin, Alexander Westermann and Stefan Turek
timetable:
Tue 2 Oct, 16:45 - 18:00, Aula Dini
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