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- W2247357531 abstract "In this paper we introduce a high order discontinuous Galerkin method for two dimensional incompressible flow in vorticity streamfunction formulation. The momentum equation is treated explicitly, utilizing the efficiency of the discontinuous Galerkin method. The streamfunction is obtained by a standard Poisson solver using continuous finite elements. There is a natural matching between these two finite element spaces, since the normal component of the velocity field is continuous across element boundaries. This allows for a correct upwinding gluing in the discontinuous Galerkin framework, while still maintaining total energy conservation with no numerical dissipation and total enstrophy stability. The method is suitable for inviscid or high Reynolds number flows. Optimal error estimates are proven and verified by numerical experiments." @default.
- W2247357531 created "2016-06-24" @default.
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- W2247357531 date "1999-07-01" @default.
- W2247357531 modified "2023-09-23" @default.
- W2247357531 title "A high order discontinuous Galerkin method for 2D incompressible flows" @default.
- W2247357531 hasPublicationYear "1999" @default.
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