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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:
76M25Other numerical methods (fluid mechanics)
76D05Navier-Stokes equations (fluid dynamics)
76R10Free convection (fluid mechanics)
65M25Method of characteristics (IVP of PDE, numerical methods)