An unstructured-mesh atmospheric model for nonhydrostatic dynamics

Journal of Computational Physics

Volumn 254, Issue , 2013, Pages 184-199

  Smolarkiewicz, Piotr K ^a   Szmelter, Joanna ^b   Wyszogrodzki, Andrzej A ^c  

^a EUROPEAN CENTRE FOR MEDIUM RANGE WEATHER FORECASTS   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^c NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

Anelastic equations; Nonoscillatory forward in time schemes; Orographic flows; Planetary boundary layers; Unstructured mesh atmospheric models

Indexed keywords

BOUNDARY LAYERS; FINITE VOLUME METHOD;

ANELASTIC EQUATION; ATMOSPHERIC MODELING; NON-HYDROSTATIC; NON-OSCILLATORY FORWARD IN TIME; NONOSCILLATORY FORWARD-IN-TIME SCHEME; OROGRAPHIC FLOW; PLANETARY BOUNDARY LAYERS; SEMI-IMPLICIT; UNSTRUCTURED MESH ATMOSPHERIC MODEL; UNSTRUCTURED MESHES;

MESH GENERATION;

EID: 84883508880     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.07.027     Document Type: Article

References (45)

1. Balaji V., Redelsperger J.-L., Klaassen G.P. Mechanisms for the mesoscale organization of tropical cloud clusters in GATE Phase-III. 1. Shallow cloud bands. J. Atmos. Sci. 1993, 50:3571-3589.
2. Behrens J., Reich S., Laüter M., Wingate B., Williamson D. in: The 2010 Workshop on the Solution of PDEs on the Sphere. http://www.awi-potsdam.de/pde2010/pdes2010_program.pdf.
3. Clark T.L., Farley R.D. Severe downslope windstorm calculations in two and three spatial dimensions using anelastic interactive grid nesting: a possible mechanism for gustiness. J. Atmos. Sci. 1984, 41:329-350.
4. Deardorff J.W., Willis G.E. Further results from a laboratory model of the convective planetary boundary layer. Boundary-Layer Met. 1985, 32:205-236.
5. Doyle J.D., Gabersek S., Jiang Q.F., Bernardet L., Brown J.M., Dörnbrack A., Filaus E., Grubišić V., Kirshbaum D.J., Knoth O., Koch S., Schmidli J., Stiperski I., Vosper S., Zhong S.Y. Intercomparison of T-REX mountain-wave simulations and implications for mesoscale predictability. Month. Weather Rev. 2011, 139:2811-2831.
6. Durran D.R. Improving the anelastic approximation. J. Atmos. Sci. 1989, 46:1453-1461.
7. Epifanio C.C., Rotunno R. The dynamics of orographic wake formation in flows with upstream blocking. J. Atmos. Sci. 2005, 62:3127-3150.
8. Ghizaru M., Charbonneau P., Smolarkiewicz P.K. Magnetic cycles in global large-eddy simulations of solar convection. Astrophys. J. Lett. 2010, 715:L133-L137.
9. Grabowski W.W., Smolarkiewicz P.K. A multiscale anelastic model for meteorological research. Month. Weather Rev. 2002, 130:939-956.
10. Hauf T., Clark T.L. 3-dimensional numerical experiments on convectively forced internal gravity waves. Q. J. Roy. Meteor. Soc. 1989, 115:309-333.
11. Hunt C.R., Snyder W.H. Experiments on stably and neutrally stratified flow over a model three-dimensional hill. J. Fluid Mech. 1980, 96:671-704.
12. Hyman J.D., Smolarkiewicz P.K., Winter C.L. Heterogeneities of flow in stochastically generated porous media. Phys. Rev. E 2012, 86:056701.
13. Klein R., Achatz U., Bresch D., Knio O.M., Smolarkiewicz P.K. Regime of validity of soundproof atmospheric flow models. J. Atmos. Sci. 2010, 67:3226-3237.
14. Kühnlein C., Smolarkiewicz P.K., Dörnbrack A. Modelling atmospheric flows with adaptive moving meshes. J. Comput. Phys. 2012, 231:2741-2763.
15. Lenschow D.H., Wyngaard J.C., Pennel W.T. Mean-field and second-moment budgets in a baroclinic, convective boundary layer. J. Atmos. Sci. 1980, 37:1313-1326.
16. Lipps F.B., Hemler R.S. A scale analysis of deep moist convection and some related numerical calculations. J. Atmos. Sci. 1982, 39:2192-2210.
17. Lipps F.B. On the anelastic approximation for deep convection. J. Atmos. Sci. 1990, 47:1794-1798.
18. Margolin L.G., Smolarkiewicz P.K., Sorbjan Z. Large-eddy simulations of convective boundary layers using nonoscillatory differencing. Physica D 1999, 133:390-397.
19. Predicting weather, climate and extreme events. J. Comput. Phys. 2008, 227(7):3429-3730. (spec. issue).
20. Piotrowski Z.P., Smolarkiewicz P.K., Malinowski S.P., Wyszogrodzki A.A. On numerical realizability of thermal convection. J. Comput. Phys. 2009, 228:6268-6290.
21. Piotrowski Z.P., Wyszogrodzki A.A., Smolarkiewicz P.K. Towards petascale simulations of atmospheric circulations with soundproof models. Acta Geophys. 2011, 59:1294-1311.
22. Prusa J.M., Smolarkiewicz P.K. An all-scale anelastic model for geophysical flows: dynamic grid deformation. J. Comput. Phys. 2003, 190:601-622.
23. Prusa J.M., Smolarkiewicz P.K., Wyszogrodzki A.A. EULAG, a computational model for multiscale flows. Comput. Fluids 2008, 37:1193-1207.
24. Schmidt H., Schumann U. Coherent structure of the convective boundary layer derived from large-eddy simulation. J. Fluid Mech. 1989, 200:511-562.
25. Skamarock W.C., Klemp J.B., Duda M.G., Fowler L.D., Park S.-H. A multiscale nonhydrostatic atmospheric model using centroidal Voronoi tesselations and C-grid staggering. Month. Weather Rev. 2012, 140:3090-3105.
26. Smith R.B. Linear theory of hydrostatic flow over an isolated mountain in isosteric coordinates. J. Atmos. Sci. 1988, 45:3887-3896.
27. Smolarkiewicz P.K., Rotunno R. Low Froude number flow past three-dimensional obstacles. Part I: Baroclinically generated lee vortices. J. Atmos. Sci. 1989, 46:1154-1164.
28. Smolarkiewicz P.K., Margolin L.G. On forward-in-time differencing for fluids: Extension to a curvilinear framework. Month. Weather Rev. 1993, 121:1847-1859.
29. Smolarkiewicz P.K., Margolin MPDATA L.G. A finite-difference solver for geophysical flows. J. Comput. Phys. 1998, 140:459-480.
30. Smolarkiewicz P.K., Margolin L.G., Wyszogrodzki A.A. A class of nonhydrostatic global models. J. Atmos. Sci. 2001, 58:349-364.
31. Smolarkiewicz P.K., Prusa J.M. Towards mesh adaptivity for geophysical turbulence: continuous mapping approach. Int. J. Numer. Meth. Fluids 2005, 47:789-801.
32. Smolarkiewicz P.K., Szmelter J. Multidimensional positive definite advection transport algorithm (MPDATA): an edge-based unstructured-data formulation. Int. J. Numer. Meth. Fluids 2005, 47:1293-1299.
33. Smolarkiewicz P.K., Szmelter J. MPDATA: An edge-based unstructured-grid formulation. J. Comput. Phys. 2005, 206:624-649.
34. Smolarkiewicz P.K. Multidimensional positive definite advection transport algorithm: an overview. Int. J. Numer. Meth. Fluids 2006, 50:1123-1144.
35. Smolarkiewicz P.K., Sharman R., Weil J., Perry S.G., Heist D., Bowker G. Building resolving large-eddy simulations and comparison with wind tunnel experiments. J. Comput. Phys. 2007, 227:633-653.
36. Smolarkiewicz P.K., Szmelter J. Iterated upwind schemes for gas dynamics. J. Comput. Phys. 2009, 228:33-54.
37. Smolarkiewicz P.K. Modeling atmospheric circulations with soundproof equations. Proceedings of the ECMWF Workshop on Nonhydrostatic Modelling 2011, 1-15.
38. Smolarkiewicz P.K., Szmelter J. A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves. Acta Geophys. 2011, 59:1109-1134.
39. Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 1968, 5:506-517.
40. Szmelter J., Smolarkiewicz P.K. MPDATA error estimator for mesh adaptivity. Int. J. Numer. Meth. Fluids 2006, 50:1269-1293.
41. Szmelter J., Smolarkiewicz P.K. An edge-based unstructured mesh discretisation in geospherical framework. J. Comput. Phys. 2010, 229:4980-4995.
42. Szmelter J., Smolarkiewicz P.K. An edge-based unstructured mesh framework for atmospheric flows. Comput. Fluids 2011, 46:455-460.
43. Waite M.L., Smolarkiewicz P.K. Instability and breakdown of a vertical vortex pair in a strongly stratified fluid. J. Fluid Mech. 2008, 606:239-273.
44. Wedi N.P., Smolarkiewicz P.K. Extending Gal-Chen and Somerville terrain-following coordinate transformation on time dependent curvilinear boundaries. J. Comput. Phys. 2004, 193:1-20.
45. Williamson D.L. The evolution of dynamical cores for global atmospheric models. J. Meteor. Soc. Japan 2008, 85B:241-268.