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• W3103237299 abstract "We consider a numerical approach for the incompressible surface Navier-Stokes equation on surfaces with arbitrary genus g(S). The approach is based on a reformulation of the equation in Cartesian coordinates of the embedding R3, penalization of the normal component, a Chorin projection method, and discretization in space by surface finite elements for each component. The approach thus requires only standard ingredients which most finite element implementations can offer. We compare computational results with discrete exterior calculus simulations on a torus and demonstrate the interplay of the flow field with the topology by showing realizations of the Poincaré-Hopf theorem on n-tori." @default.
• W3103237299 created "2020-11-23" @default.
• W3103237299 creator A5044827336 @default.
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• W3103237299 date "2018-01-01" @default.
• W3103237299 modified "2023-10-05" @default.
• W3103237299 title "Solving the incompressible surface Navier-Stokes equation by surface finite elements" @default.
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• W3103237299 doi "https://doi.org/10.1063/1.5005142" @default.
• W3103237299 hasPublicationYear "2018" @default.
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