Numerical studies of higher order variational time stepping schemes for evolutionary Navier--Stokes equations
- Ahmed, Naveed
- Matthies, Gunar
2010 Mathematics Subject Classification
- 76D05 65M20 65M60
- ransient incompressible Navier--Stokes equations, inf-sup stable pairs of finite element spaces, discontinuous Galerkin methods, continuous Galerkin--Petrov methods
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.
- 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.