Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once....
An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In addition to the standard LPS method, a nonlinear crosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates are derived...
Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough
domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic
expansion techniques. The roughness elements are supposed to be periodic and the influence of the
rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady
Stokes problems and so they are calculated only...
Download Results (CSV)