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We consider the question of \numerical errors" in large eddy simulation. It is often claimed that straightforward discretization and solution using centered methods of models for large eddy motion can simulate the motion of turbulent ows with complexity independent of the Reynolds number and depending only on the resolution \" of the eddies sought. This… (More)

This paper presents a variational multiscale method (VMS) for the incompressible Navier–Stokes equations which is defined by a large scale space L H for the velocity deformation tensor and a turbulent viscosity ν T. The connection of this method to the standard formulation of a VMS is explained. The conditions on L H under which the VMS can be implemented… (More)

Finite element and finite difference discretizations for evolutionary convection-diffusion reaction equations in two and three dimensions are studied which give solutions without or with small under-and overshoots. The studied methods include a linear and a nonlinear FEM-FCT scheme, simple upwinding, an ENO scheme of order 3, and a fifth order WENO scheme.… (More)

This paper investigates a multigrid method for the solution of the saddle point formulation of the discrete Stokes equation obtained with inf{sup stable nonconforming nite elements of lowest order. A smoother proposed by Braess and Sarazin (1997) is used and L 2 {projection as well as simple averaging are considered as prolongation. The W{cycle convergence… (More)

This paper presents a technique to improve the velocity error in finite element solutions of the steady state Navier–Stokes equations. This technique is called pressure separation. It relies upon subtracting the gradient of an appropriate approximation of the pressure on both sides of the Navier–Stokes equations. With this, the finite element error estimate… (More)

- Volker John
- LSSC
- 1997