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
The Navier-Stokes equations with discontinuous coefficients
✍ Scribed by Ya. Rivkind; N. B. Fridman
- Publisher
- Springer US
- Year
- 1977
- Tongue
- English
- Weight
- 492 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
## Abstract An interior penalty method and a compact discontinuous Galerkin method are proposed and compared for the solution of the steady incompressible Navier–Stokes equations. Both compact formulations can be easily applied using high‐order piecewise divergence‐free approximations, leading to t
We study a steady-state, viscous, compressible Navier-Stokes flow in a rectangle \(\Omega \equiv(0,1) \times(-1,1)\) with the boundary condition \((u, v)=(1,0)\) for the velocity field \((u, v)\) and the condition \(p(0, y)=p^{0}(y)\) for the pressure \(p\) on \(\{0\} \times(-1,1)\), which is the pa