On finite element approximation and stabilization methods for compressible viscous flows
- 30 September 1993
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 17 (6) , 477-499
- https://doi.org/10.1002/fld.1650170604
Abstract
This work is devoted to the numerical solution of the Navier–Stokes equations for compressible viscous fluids. Finite element approximations and stabilization techniques are addressed. We present methods to implement discontinuous approximations for the pressure and the density. An upwinding methodology is being investigated which combines the ideas behind the stream line Petrov–Galerkin method and the flux limiter methods aiming to introduce numerical diffusion only where it is necessary.Keywords
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