Symmetry-preserving discretization of the incompressible Navier-Stokes equations

Symmetry-preserving discretization of the incompressible Navier-Stokes equations

Verstappen, R.W.C.P.
Veldman, A.E.P.

2006-09-07

We propose to discretize the convective and diffusive operators in the (incom- pressible) Navier-Stokes equations in such a manner that their symmetries are preserved. The resulting spatial discretization inherits all symmetry-related conservation and stability properties from the continuous formulation. In particularly, a symmetry-preserving discretization is unconditionally stable, and conserves the energy in the absense of viscous dissipation. In this paper, a fourth-order, symmetry-preserving discretization method is described and tested successfully for direct numerical simulation of turbulent channel flow.

higher-order
finite-volume discretization
symmetry and conservation
stability
turbulent channel flow

http://resolver.tudelft.nl/uuid:4cb9ff15-0168-4709-aa99-4a26a281d61d

Conference proceedings

conference paper

(c) 2006 Verstappen, R.W.C.P.; Veldman, A.E.P.