Wall Boundary Conditions for Variational Multiscale Large-Eddy Simulations
Variational multiscale discretisations for turbulent flows, first introduced by Hughes  have been shown to produce accurate results with relatively simple modelling assumptions. A particularly flexible discontinuous Galerkin variant has been developed by Collis . Continuous Galerkin discretisations, however, can be advantageous in that their low implicit dissipation simplifies the calibration of subgrid-scale models. Recent work has indicated that combining continuous methods with weak boundary conditions can result in improved accuracy , while adding some of the flexibility inherent in discontinuous methods. We consider a continuous-Galerkin variational-multiscale method combined with penalty-based weak boundary conditions, and describe the relation of the latter to traditional wall-stress models.
KeywordsDirect Numerical Simulation Discontinuous Galerkin Method Hard Condition Wall Boundary Condition Subgrid Scale Model
Unable to display preview. Download preview PDF.
- 2.Collis, S. S., The DG/VMS Method for Unified Turbulence Simulation. AIAA Paper No. 2002-3124 (2002)Google Scholar
- 3.Munts, E., Space-time multiscale methods for large-eddy simulation. Ph.D. Thesis, Faculty of Aerospace Engineering, Delft University of Technology (2006)Google Scholar
- 4.Bazilevs Y., and Hughes, T. J. R., Weak Imposition of Dirichlet Boundary Conditions in Fluid Mechanics, ICES Report 05-25, University of Texas at Austin (2005)Google Scholar