Abstract
In this paper, a novel and effective numerical solution procedure for solving convection-dominated flows is proposed in the context of the finite element method (FEM). The procedure, which we call CIP-FEM, is a combination of the cubic interpolated propagation (CIP) method in the advection phase with FEM in the diffusion phase. Applicability of the method is shown in the comparison of other existing solutions for the rotating cone problem known as a bench mark test in a two-dimensional convective diffusion equation.
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