Abstract
The present paper reviews the Variational Multiscale Method (VMM) as a framework enabling the development of computational methods for the simulation of incompressible flows, particularly in the form of Large Eddy Simulations (LESs) of turbulent flows. Starting with a variational formulation of the Navier-Stokes equations, a separation of all scales of the flow problem into two and three scale groups, respectively, is shown. A particular numerical method emanating from both the two- and the three-scale separation, respectively, is described, one of them in the form of a Finite Element Method (FEM) and the other one in the form of a Finite Volume Method (FVM). Respective numerical examples illustrate the suitability of both variants of the VMM for the numerical simulation of turbulent flows.
Original language | English |
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Pages (from-to) | 444-466 |
Number of pages | 23 |
Journal | International Journal of Computing Science and Mathematics |
Volume | 1 |
Issue number | 2-4 |
DOIs | |
State | Published - 2007 |
Keywords
- LES
- VMM
- incompressible flow
- large eddy simulation
- scale separation
- turbulence
- variational multiscale method