Numerical analysis demonstrates advantages of FEM for Newtonian fluid flow in non-convex domains, suggesting improved modeling techniques.
The article considers the flow of a Newtonian fluid modeled using the incompressible Navier-Stokes equation in a non-convex polygon with Dirichlet boundary conditions. Discretization using FEM with weight is made. A series of numerical tests was carried out. A set of optimal parameters of the method has been determined, for which an advantage over classical approaches is achieved.
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Alexey V. Rukavishnikov (2025) studied this question.
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