Adaptive Variational Multiscale Formulations using the Discrete Germano

Adaptive Variational Multiscale Formulations using the Discrete Germano

Akkerman, I.

De Borst, R. (promotor)

Aerospace Engineering

2009-03-10

A Residual-Based Large-Eddy Simulation (RB-LES) method is developed. This is done by discretizing the Navier-Stokes equations directly. A priori filtering is omitted. Analytical approximation of the subgrid scales results in a unusually-stabilized finite-element method with additional terms arising due to the nonlinearity. This RB-LES method is used to compute turbulent channel flow, resulting in accurate results. The results of the RB-LES method depend on the choice of the so-called stabilization parameters, just like those of traditional stabilized methods. To find optimal stabilization parameters a new procedure discrete Germano procedure is developed. The procedure is justified using commutativity diagrams. Tests with stabilized convection-diffusion and Stokes formulations. Indicate the procedure is indeed capable of approximately finding optimal parameters.

large-eddy simulation
variational multiscale
discrete germano

http://resolver.tudelft.nl/uuid:a09e15be-f0ab-4b22-829c-131a0cd9865d

978-90-79488-42-1

Institutional Repository

doctoral thesis

(c) 2009 Akkerman, I.