Large Eddy Simulation of gravity currents with a high order DG method

1. W. Houf and R. Schefer. Analytical and experimental investigation of small scale unintended releases of hydrogen. International Journal of Hydrogen Energy, 33:1435-1444, 2008.10.1016/j.ijhydene.2007.11.031Search in Google Scholar

2. A.E. Gill. Atmosphere-Ocean Dynamics. Academic Press, 1982.Search in Google Scholar

3. J.F. Louis. A parametric model of vertical eddy fluxes in the atmosphere. Boundary Layer Meteorology, 17:197-202, 1979.10.1007/BF00117978Search in Google Scholar

4. L.C. Berselli, P.F. Fischer, T. Iliescu, and T.M. Özgökmen. Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System. Journal of Scientific Computing, 49:3-20, 2011.10.1007/s10915-011-9464-8Search in Google Scholar

5. T.M. Özgökmen, T. Iliescu, and P.F. Fischer. Large Eddy Simulation of stratified mixing in a three-dimensional Lock-exchange system. Ocean Modelling, 26:134-155, 2009.10.1016/j.ocemod.2008.09.006Search in Google Scholar

6. T.M. Özgökmen, T. Iliescu, P.F. Fischer, A. Srinivasan, and J. Duan. Large Eddy Simulation of stratified mixing in two-dimensional dam-break problem in a rectangular enclosed domain. Ocean Modelling, 16:106-140, 2007.10.1016/j.ocemod.2006.08.006Search in Google Scholar

7. A. Abbà, L. Bonaventura, M. Nini, and M. Restelli. Dynamic models for Large Eddy Simulation of compressible ows with a high order DG method. Computers & Fluids, 122:209-222, 2015.10.1016/j.compfluid.2015.08.021Search in Google Scholar

8. T.J.R. Hughes, A.A. Oberai, and L. Mazzei. Large eddy simulation of turbulent channel ows by the variational multiscale method. Physics of Fluids, 13:1784-1799, 2001.10.1063/1.1367868Search in Google Scholar

9. V. John and A. Kindl. Numerical studies of finite element Variational Multiscale Methods for turbulent ow simulations. Computer Methods in Applied Mechanics and Engineering, 199:841-852, 2010.10.1016/j.cma.2009.01.010Search in Google Scholar

10. V. K. Birman, J.E. Martin, and E. Meiburg. The non-Boussinesq Lock-exchange problem. Part 2. High-resolution simulations. Journal of Fluid Mechanics, 537:125-144, 2005.10.1017/S0022112005005033Search in Google Scholar

11. H. Schlichting. Boundary-layer theory.7th edition. McGraw-Hill, 1979.Search in Google Scholar

12. P. Sagaut. Large Eddy Simulation for Incompressible Flows: An Introduction. Springer Verlag, 2006.Search in Google Scholar

13. E. Garnier, N. Adams, and P. Sagaut. Large Eddy Simulation for Compressible Flows. Springer Verlag, 2009.10.1007/978-90-481-2819-8Search in Google Scholar

14. M. Germano, U. Piomelli, P. Moin, and W.H. Cabot. A Dynamic Subgrid-Scale Eddy Viscosity Model. Physics of Fluids, 3(7):1760-1765, 1991.10.1063/1.857955Search in Google Scholar

15. F.X. Giraldo and M. Restelli. A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modelling: equation sets and test cases. Journal of Computational Physics, 227:3849-3877, 2008.Search in Google Scholar

16. D. N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini. Unified analysis of Discontinuous Galerkin methods for elliptic problems. SIAM Journal of Numerical Analysis, 39:1749-1779, 2002.10.1137/S0036142901384162Search in Google Scholar

17. F. Bassi and S. Rebay. High Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations. Journal of Computational Physics, 131:267-279, 1997.10.1006/jcph.1996.5572Search in Google Scholar

18. P. Castillo, B. Cockburn, I. Perugia, and D. Schötzau. An a priori analysis of the Local Discontinuous Galerkin method for elliptic problems. SIAM Journal of Numerical Analysis, 38:1676-1706, 2000.10.1137/S0036142900371003Search in Google Scholar

19. B. Cockburn and C.W. Shu. The Local Discontinuous Galerkin Method for Time-Dependent Convection Diffusion Systems. SIAM Journal of Numerical Analysis, 35:2440-2463, 1998.10.1137/S0036142997316712Search in Google Scholar

20. J.J. Gottlieb and C.P.T. Groth. Assessment of Riemann Solvers for Unsteady One-Dimensional Inviscid Flows of Perfect Gases. Journal of Computational Physics, 78:437-458, 1988.10.1016/0021-9991(88)90059-9Search in Google Scholar

21. R. Cools. An Encyclopaedia of Cubature Formulas. Journal of Complexity, 19:445-453, 2003.10.1016/S0885-064X(03)00011-6Search in Google Scholar

22. S. S. Collis. Discontinuous Galerkin methods for turbulence simulation. In Proceed- ings of the 2002 Center for Turbulence Research Summer Program, pages 155-167, 2002.Search in Google Scholar

23. S. S. Collis and Y. Chang. The DG/VMS method for unified turbulence simulation. AIAA paper, 3124:24-27, 2002.10.2514/6.2002-3124Search in Google Scholar

24. F.van der Bos, J.J.W. van der Vegt, and B.J. Geurts. A multi-scale formulation for compressible turbulent ows suitable for general variational discretization techniques. Computer Methods in Applied Mechanics and Engineering, 196:2863-2875, 2007.10.1016/j.cma.2006.12.005Search in Google Scholar

25. FEMilaro, a finite element toolbox. https://bitbucket.org/mrestelli/femilaro/wiki/Home. Available under GNU GPL v3.Search in Google Scholar

26. L. Bonaventura. A semi-implicit, semi-Lagrangian scheme using the height coordinate for a nonhydrostatic and fully elastic model of atmospheric ows. Journal of Computational Physics, 158:186-213, 2000.10.1006/jcph.1999.6414Search in Google Scholar

27. G. Tumolo and L. Bonaventura. A semi-implicit, semi-Lagrangian, DG framework for adaptive numerical weather prediction. Quarterly Journal of the Royal Meteorological Society, 141:2582-2601, 2015.10.1002/qj.2544Search in Google Scholar

28. K.B. Winters, P.N. Lombard, J.J. Riley, and E.A. D'Asaro. Available potential energy and mixing in density-stratified uids. Journal of Fluid Mechanics, 289:115-128, 1995.10.1017/S002211209500125XSearch in Google Scholar

29. Y. Tseng and J.H. Ferziger. Mixing and available potential energy in stratified ows. Physics of Fluids, 13:1281-1293, 2001.10.1063/1.1358307Search in Google Scholar

30. L.C. Berselli, M. Cerminara, and T. Iliescu. Disperse Two-Phase Flows, with Applications to Geophysical Problems. Pure and Applied Geophysics, 172:181-196, 2015.10.1007/s00024-014-0889-5Search in Google Scholar

31. M. Tugnoli, A. Abbà, L. Bonaventura, and M. Restelli. A locally p-adaptive approach for Large Eddy Simulation of compressible ows in a DG framework. MOX Report 37/2016, MOX - Politecnico di Milano, 2016.Search in Google Scholar

32. A. Abbà, C. Cercignani, and L. Valdettaro. Analysis of Subgrid Scale Models. Com- puter and Mathematics with Applications, 46:521-535, 2003.10.1016/S0898-1221(03)90014-9Search in Google Scholar

33. M. Germano, A. Abbà, R. Arina, and L. Bonaventura. On the extension of the eddy viscosity model to compressible ows. Physics of Fluids, 2014.10.1063/1.4871292Search in Google Scholar