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A high order characteristics method for the incompressible Navier-Stokes equations. (English) Zbl 0824.76060

Summary: We analyze a high order characteristics method for the Navier-Stokes equations. We focus on the cases of the first, second and third order in time schemes with finite element spatial discretization. A numerical comparison between the first and second order schemes is done for steady or transient flows.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
76R10 Free convection
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
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