On the performance of a generic length scale turbulence model within an adaptive finite element ocean model

Ocean Modelling

Volumn 56, Issue , 2012, Pages 1-15

  Hill, Jon ^a   Piggott, M D ^a   Ham, David A ^a   Popova, E E ^b   Srokosz, M A ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Adaptive mesh; Finite element; Turbulence parameterisation; Unstructured mesh

Indexed keywords

ADAPTIVE FINITE ELEMENT; ADAPTIVE MESHES; COMPUTATIONAL COSTS; ERROR METRICES; FINITE ELEMENT; FIXED MESH; LABORATORY SCALE; LENGTH SCALE; MIXED LAYER DEPTHS; OBSERVED DATA; OCEAN MODEL; OCEAN MODELLING; ONE-EQUATION; ROOT MEAN SQUARE ERRORS; SMALL SCALE TURBULENCE; SPATIAL RESOLUTION; TURBULENT KINETIC ENERGY; TWO-EQUATION; UNSTRUCTURED MESHES;

MEAN SQUARE ERROR; MESH GENERATION; OCEANOGRAPHY; TURBULENCE MODELS;

FINITE ELEMENT METHOD;

CIRCULATION MODELING; EXPERIMENTAL STUDY; FINITE ELEMENT METHOD; MIXED LAYER; MODEL TEST; MODEL VALIDATION; OCEANOGRAPHY; OPTIMIZATION; PARAMETERIZATION; PERFORMANCE ASSESSMENT; TURBULENCE;

EID: 84865473589     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2012.07.003     Document Type: Article

References (40)

1. Blumberg A.F., Galperin B., O'Connor D.J. Modeling vertical structure of open-channel flows. Journal of Hydraulic Engineering 1992, 118(8):1119-1134.
2. Boyer T.P., Antonov J.I., Garcia H.E., Johnson D.R., Locarnini R.A., Mishonov A.V., Pitcher M.A., Baranova M.T., Smolyar O.K., Smolyar I.V. World ocean database 2005. NOAA Atlas NESDIS60 2006, 199. U.S. Government Printing Office, Washington D.C., dVDs. S. Levitus (Ed.).
3. Burchard H., Beckers J.-M. Non-uniform adaptive vertical grids in one-dimensional numerical ocean models. Ocean Modelling 2004, 6(1):51-81.
4. Burchard H., Bolding K. Comparative analysis of four second-moment turbulence closure models for the oceanic mixed layer. Journal of Physical Oceanography 2001, 31(8):1943-1968.
5. Burchard, H., Bolding, K., Villarreal, M.R., 1999. GOTM - a general ocean turbulence model. Theory, Applications and Test Cases. Tech. Rep. EUR 18745, European Commission Rep.
6. Burchard H., Petersen O. Models of turbulence in the marine environment -a comparative study of two-equation turbulence models. Journal of Marine Systems 1999, 21(1-4):29-53.
7. Burchard H., Petersen O., Rippeth T.P. Comparing the performance of the Mellor-Yamada and the k-ε{lunate} two-equation turbulence models. Journal of Geophysical Research 1998, 103(C5):10543-10554.
8. Canuto V.M., Howard A., Cheng Y., Dubovikov M.S. Ocean turbulence. Part I: One-point closure model - momentum and heat vertical diffusivities. Journal of Physical Oceanography 2001, 31(6):1413-1426.
9. Denman K., Miyake M. Upper layer modification at ocean station papa: Observations and simulation. Journal of Physical Oceanography 1973, 3(2):185-196.
10. Farrell P., Piggott M., Pain C., Gorman G., Wilson C. Conservative interpolation between unstructured meshes via supermesh construction. Computer Methods in Applied Mechanics and Engineering 2009, 198(33-36):2632-2642.
11. Ford R., Pain C.C., Piggott M.D., Goddard A.J.H., de Oliveira C.R.E., Umpleby A.P. A nonhydrostatic finite-element model for three-dimensional stratified oceanic flows. Part I: Model formulation. Monthly Weather Review 2004, 132(12):2816-2831.
12. Galperin B., Kantha L., Hassid S., Rosati A. A quasi-equilibrium turbulent energy model for geophysical flows. Journal of the Atmospheric Sciences 1988, 45(1).
13. Gaspar P., Gr+goris Y., Lefevre J.-M. A simple eddy kinetic energy model for simulations of the oceanic vertical mixing: Tests at station papa and long-term upper ocean study site. Journal of Geophysical Research 1990, 95(C9):16179-16193.
14. Gibson M.M., Launder B.E. Ground effects on pressure fluctuations in the atmospheric boundary layer. Journal of Fluid Mechanics 1978, 86(03):491-511.
15. Hanert E., Deleersnijder E., Legat V. An adaptive finite element water column model using the Mellor-Yamada level 2.5 turbulence closure scheme. Ocean Modelling 2006, 12(1-2):205-223.
16. Hofmeister R., Burchard H., Beckers J.-M. Non-uniform adaptive vertical grids for 3D numerical ocean models. Ocean Modelling 2010, 33(1-2):70-86.
17. Kantha L.H., Clayson C.A. An improved mixed layer model for geophysical applications. Journal of Geophysical Research 1994, 99(C12):25235-25266.
18. Kato H., Phillips O.M. On the penetration of a turbulent layer into stratified fluid. Journal of Fluid Mechanics Digital Archive 1969, 37(04):643-655.
19. Klein P., Lapeyre G. The oceanic vertical pump induced by mesoscale and submesoscale turbulence. Annual Review of Marine Science 2009, 1(1):351-375.
20. Kleypas, J.A., Doney, S.C., 2001. Nutrients, chlorophyll, primary production and related biogeochemical properties in the ocean mixed layer - a compilation of data collected at nine JGOFS site. Tech. Rep. TN-447+STR, NCAR.
21. Kondo J. Air-sea bulk transfer coefficients in diabatic conditions. Boundary-Layer Meteorology Aug. 1975, 9(1):91-112.
22. Large, W.G., Yeager, S.G., 2004. Diurnal to decadal global forcing for ocean and sea-ice models: the data sets and flux climatologies. Tech. Rep. TN-460+STR, NCAR.
23. Loseille A., Alauzet F. Continuous mesh framework part ii: Validations and applications. SIAM Journal on Numerical Analysis 2011, 49(1):61-86.
24. Lévy M., Iovino D., Resplandy L., Klein P., Madec G., Tr+guier A.-M., Masson S., Takahashi K. Large-scale impacts of submesoscale dynamics on phytoplankton: local and remote effects. Ocean Modelling 2012, 43G44(0):77-93.
25. McGillicuddy D.J., Anderson L.A., Doney S.C., Maltrud M.E. Eddy-driven sources and sinks of nutrients in the upper ocean: results from a 0.1 degree- resolution model of the North Atlantic. Global Biogeochemical Cycles 2003, 17.
26. Mellor G.L., Yamada T. Development of a turbulence closure model for geophysical fluid problems. Reviews of Geophysics 1982, 20(4):851-875.
27. Pain, C., Allison, P., Aristodemou, E., Bond, T., Bercia, G., Bricheno, L., Buchan, A., Candy, A., Clay, G., Collins, G., Cotter, C., Creech, A., Davies, R., Dunstall, J., Du, J., Eaton, M., Farrell, P., Funke, S., Ham, D., Hill, J., Garcia-Sagrado, A., Gomes, J., Gorman, G., Harrison, D., Jacobs, C., Jiang, S., Kramer, S., Liu, H., Lutsko, N., Maddison, J., Martin, B., Miles, B., Milthaler, F., Mindel, J., Mitchell, A., Nelson, R., Pavlidis, D., Perpeet, R., Piggott, M., Plociniczak, H., Power, P., Sallito, M., Saunders, J., Shahdatullah, S., Tollit, B., Wang, H., Wells, M., Whitworth, M., Wilson, C., Umpleby, A., November 2010. Fluidity Manual. Applied Modelling and Computation Group, Department of Earth Science and Engineering, South Kensington Campus, Imperial College London, London, SW7 2AZ, UK, version 4.0-release Edition.
28. Pain C., Piggott M., Goddard A., Fang F., Gorman G., Marshall D., Eaton M., Power P., de Oliveira C. Three-dimensional unstructured mesh ocean modelling. Ocean Modelling 2005, 10(1-2):5-33. The second international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows.
29. Pain C.C., Umpleby A.P., de Oliveira C.R.E., Goddard A.J.H. Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Computer Methods in Applied Mechanics and Engineering 2001, 190(29-30):3771-3796.
30. Piggott M., Pain C., Gorman G., Power P., Goddard A. h, r, and hr adaptivity with applications in numerical ocean modelling. Ocean Modelling 2005, 10(1-2):95-113. The second international workshop on unstructured mesh numerical modelling of coastal, shelf and ocean flows.
31. Piggott M.D., Farrell P.E., Wilson C.R., Gorman G.J., Pain C.C. Anisotropic mesh adaptivity for multi-scale ocean modelling. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2009, 367(1907):4591-4611.
32. Piggott M.D., Gorman G.J., Pain C.C., Allison P.A., Candy A.S., Martin B.T., Wells M.R. A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes. International Journal for Numerical Methods in Fluids 2008, 56(8):1003-1015.
33. Popova E.E., Coward A.C., Nurser G.A., de Cuevas B., Fasham M.J.R., Anderson T.R. Mechanisms controlling primary and new production in a global ecosystem model - part I: Validation of the biological simulation. Ocean Science 2006, 2(2):249-266.
34. Price J.F. On the scaling of stress-driven entrainment experiments. Journal of Fluid Mechanics Digital Archive 1979, 90(3):509-529.
35. Rodi W. Examples of calculation methods for flow and mixing in stratified fluids. Journal of Geophysical Research 1987, 92(C5):5305-5328.
36. Umlauf L., Burchard H. A generic length-scale equation for geophysical turbulence models. Journal of Marine Research 2003, 61(31):235-265.
37. Umlauf L., Burchard H. Second-order turbulence closure models for geophysical boundary layers. A review of recent work. Continental Shelf Research 2005, 25(7-8):795-827.
38. Uppala S.M., K+llberg P.W., Simmons A.J., Andrae U., Bechtold V.D.C., Fiorino M., Gibson J.K., Haseler J., Hernandez A., Kelly G.A., Li X., Onogi K., Saarinen S., Sokka N., Allan R.P., Andersson E., Arpe K., Balmaseda M.A., Beljaars A.C.M., Berg L.V.D., Bidlot J., Bormann N., Caires S., Chevallier F., Dethof A., Dragosavac M., Fisher M., Fuentes M., Hagemann S., H+lm E., Hoskins B.J., Isaksen L., Janssen P.A.E.M., Jenne R., Mcnally A.P., Mahfouf J.-F., Morcrette J.-J., Rayner N.A., Saunders R.W., Simon P., Sterl A., Trenberth K.E., Untch A., Vasiljevic D., Viterbo P., Woollen J. The ERA-40 re-analysis. Quarterly Journal of the Royal Meteorological Society 2005, 131(612):2961-3012.
39. Warner J.C., Sherwood C.R., Arango H.G., Signell R.P. Performance of four turbulence closure models implemented using a generic length scale method. Ocean Modelling 2005, 8(1-2):81-113.
40. Wilcox D. Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal 1988, 26(11):1299-1310.