WIAS Preprint No. 2322, (2016)
Numerical studies of higher order variational time stepping schemes for evolutionary Navier--Stokes equations
Authors
- Ahmed, Naveed
ORCID: 0000-0002-9322-0373 - Matthies, Gunar
2010 Mathematics Subject Classification
- 76D05 65M20 65M60
Keywords
- ransient incompressible Navier--Stokes equations, inf-sup stable pairs of finite element spaces, discontinuous Galerkin methods, continuous Galerkin--Petrov methods
DOI
Abstract
We present in this paper numerical studies of higher order variational time stepping schemes com-bined with finite element methods for simulations of the evolutionary Navier--Stokes equations. In particular, conforming inf-sup stable pairs of finite element spaces for approximating velocity and pressure are used as spatial discretization while continuous Galerkin--Petrov methods (cGP) and discontinuous Galerkin (dG) methods are applied as higher order variational time discretizations. Numerical results for the well-known problem of incompressible flows around a circle will be presented.
Appeared in
- Huang Z., Stynes M., Zhang Z. (eds) Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016. Lecture Notes in Computational Science and Engineering, vol 120. Springer, Cham, pp 19--33.
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