An anelastic allspeed projection method for gravitationally stratified flows

Journal of Computational Physics

Volumn 216, Issue 2, 2006, Pages 589-615

  Gatti Bono, Caroline ^a   Colella, Phillip ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Embedded boundary method; Gravity waves; Non hydrostatic atmospheric model; Projection method

Indexed keywords

ASYMPTOTIC ANALYSIS; DYNAMICS; HYDRAULICS;

ASYMPTOTIC LIMITS; ATMOSPHERIC FLOWS; BLOCK STRUCTURED; COMPRESSIBLE EULER EQUATIONS; EMBEDDED BOUNDARY METHODS; HYDROSTATIC ATMOSPHERIC MODEL; NON-HYDROSTATIC; NON-HYDROSTATIC ATMOSPHERIC MODEL; PROJECTION METHOD; STRATIFIED FLOWS;

GRAVITY WAVES;

EID: 33646927200     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.12.017     Document Type: Article

References (35)

1. Almgren A., Bell J., Colella P., and Marthaler T. A Cartesian grid projection method for the incompressible Euler equations in complex geometries. SIAM J. Sci. Comput. 18 5 (1997)
2. Baer F., and Tribbia J.J. On complete filtering of gravity modes through nonlinear initialization. Monthly Weather Rev. 105 (1977) 1536-1539
3. J. Bell, P. Colella, M. Welcome, Conservative front-tracking for inviscid compressible flow, in: Proc. 10th AIAA Computational Fluid Dynamics Conference, Honolulu, HI, pp. 814-822, 1991.
4. Bonaventura L. A semi-implicit semi-Lagrangian scheme using the height coordinate for a nonhydrostatic and fully elastic model of atmospheric flows. J. Comput. Phys. 158 (2000) 186-213
5. Bannon P. On the anelastic approximation for a compressible atmosphere. J. Atmos. Sci. 53 23 (1996) 3618-3628
6. I. Chern, P. Colella, A conservative front-tracking method for hyperbolic conservation laws, UCRL-97200 LLNL, 1987.
7. Clark T. A small-scale dynamic model using a Terrain-following coordinate transformation. J. Comput. Phys. 24 (1977) 187-214
8. Colella P., Graves D., Keen B., and Modiano D. A Cartesian grid embedded boundary method for hyperbolic conservation laws. J. Comput. Phys. 211 (2006) 347-366
9. Colella P., and Pao K. A projection method for low speed flows. J. Comput. Phys. 149 2 (1999) 245-269
10. Durran D. Another look at downslope windstorms. Part I: The development of analogs to supercritical flow in an infinitely deep, continuously stratified fluid. J. Atmos. Sci. 43 21 (1986) 2527-2543
11. Durran D. Improving the anelastic approximation. J. Atmos. Sci. 46 11 (1989) 1453-1461
12. Durran D. Atmospheric processes over complex Terrain. Meteorol. Monographs 23 45 (1990) 59-81
13. Durran D., and Klemp J.B. A compressible model for the simulation of moist mountain waves. Monthly Weather Rev. 111 (1983) 2341-2360
14. C. Gatti-Bono, P. Colella, A filtering method for gravitationally stratified flows, LBNL-57161.
15. Holton J. An Introduction to Dynamic Meteorology. third ed. (1992), Academic press, New York
16. Huang C.-Y. A forward-in-time anelastic nonhydrostatic model in a terrain following coordinates. Monthly Weather Rev. 128 (2000) 2108-2134
17. Johansen H., and Colella P. A Cartesian grid embedded boundary method for Poisson's equation on irregular domains. J. Comput. Phys. 147 1 (1998) 60-85
18. Kato T., and Saito K. Hydrostatic and non-hydrostatic simulations of moist convection: applicability of the hydrostatic approximation to a high-resolution model. J. Meteorol. Soc. Jpn. 73 1 (1995) 59-77
19. Klein R. Asymptotic analyses for atmospheric flows and the construction of asymptotically adaptive numerical methods. ZAMM 80 (2000) 765-777
20. Klemp, and Lilly D. Numerical simulation of hydrostatic mountain waves. J. Atmos. Sci. 35 (1978) 78-107
21. E.B. Kluzek, J. Olson, J.M. Rosinski, J.E. Truesdale, M. Vertenstein, User Guide to NCAR CCM3.6, Climate and Global Dynamics Division, National Center for Atmospheric Research, Boulder, CO.
22. Keller T. Implications of the hydrostatic assumption on atmospheric gravity waves. J. Atmos. Sci. 51 13 (1994) 1915-1929
23. Kim Y.-J., and Arakawa A. Improvement of orographic gravity waves parametrization using a mesoscale gravity wave model. J. Atmos. Sci. 52 11 (1995) 1875-1902
24. Lilly D. A comparison of incompressible, anelastic and Boussinesq dynamics. Atmos. Res. 40 (1996) 143-151
25. McCorquodale P., Colella P., and Johansen H. A Cartesian grid embedded boundary method for the heat equation on irregular domains. J. Comput. Phys. 173 (2001) 620-635
26. Minion M. Semi-implicit spectral deferred correction methods for ordinary differential equations. Commun. Math. Sci. 1 3 (2003) 471-500
27. Oliger J., and Sundstrom A. Theoretical and practical aspects of some initial boundary-value problems in fluid dynamics. SIAM J. Appl. Math. 35 (1978) 419-446
28. Peltier W., and Clark T. The evolution and stability of finite-amplitude mountain waves. Part II: Surface wave drag and severe downslope windstorms. J. Atmos. Sci. 36 (1979) 1498-1529
29. Pember R., Bell J., Colella P., Crutchfield W., and Welcome M. An adaptive Cartesian grid method for unsteady compressible flow in irregular regions. J. Comput. Phys. 120 2 (1995) 278-304
30. D. Randall, The anelastic and Boussinesq approximations, unpublished, 2000. Available from: .
31. Rosatti G., Cesari D., and Bonaventura L. Semi-implicit, semi-Lagrangian modelling for environmental problems on staggered Cartesian grids with cut cells. J. Comput. Phys. 204 (2004) 353-377
32. Saito K. A numerical study of the local downslope wind "Yamaji-kaze" in Japan - Part 3: Numerical simulation of the 27 September 1991 windstorm with a non-hydrostatic multi-nested model. J. Meteorol. Soc. Jpn. 72 2 (1994) 301-328
33. Temperton C., and Williamson D.L. Normal mode initialization for a multilevel grid-point model. Part I: Linear aspects. Monthly Weather Rev. 109 (1981) 729-743
34. Tribbia J.J. A simple scheme for high-order nonlinear normal mode initialization. Monthly Weather Rev. 112 (1984) 278-284
35. Williamson D.L., and Temperton C. Normal mode initialization for a multilevel grid-point model. Part I: Nonlinear aspects. Monthly Weather Rev. 109 (1981) 744-7757