A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations
✍ Scribed by Bernardo Cockburn; Guido Kanschat; Dominik Schötzau
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 124 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0885-7474
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## Abstract We develop the energy norm __a posteriori__ error analysis of exactly divergence‐free discontinuous RT~__k__~/__Q__~__k__~ Galerkin methods for the incompressible Navier–Stokes equations with small data. We derive upper and local lower bounds for the velocity–pressure error measured in
The foundations of a new discontinuous Galerkin method for simulating compressible viscous flows with shocks on standard unstructured grids are presented in this paper. The new method is based on a discontinuous Galerkin formulation both for the advective and the diffusive contributions. High-order