A particle-in-cell method for the solution of two-layer shallow-water equations

International Journal for Numerical Methods in Fluids

Volumn 32, Issue 5, 2000, Pages 515-543

  Cushman Roisin, Benoit ^a   Esenkov, Oleg E ^b   Mathias, Benedict J ^c  

^a DARTMOUTH COLLEGE   (United States)

^b UNIVERSITY OF MIAMI   (United States)

^c i2 Technologies   (United States)

Author keywords

Open ocean; Particle in cell; Shallow water equation

Indexed keywords

BUOYANCY; DENSITY OF LIQUIDS; FLOW OF WATER; OCEAN CURRENTS; VORTEX FLOW;

PARTICLE-IN-CELL (PIC) METHOD; SHALLOW WATER EQUATIONS;

COMPUTATIONAL FLUID DYNAMICS;

MATHEMATICAL METHOD; OCEAN; SHALLOW-WATER EQUATION;

NUMERICAL METHOD; OPEN OCEAN; SHALLOW-WATER EQUATION;

EID: 0034652818     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(20000315)32:5<515::AID-FLD933>3.0.CO;2-L     Document Type: Article

References (21)

1. Chaudhry MH. Open-Channel Flow. Prentice Hall: Englewood Cliffs, NJ, 1993.
2. Hirt CW, Nichols BD, Romero NC. SOLA - a numerical solution algorithm for transient fluid flows. Los Alamos Scientific Laboratory Report LA-5852, University of California, 1975.
3. Hirt CW, Nichols BD. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 1981; 39: 201-225.
4. Nakayama T, Mori M. An Eulerian finite element method for time-dependent free surface problems in hydrodynamics. International Journal for Numerical Methods in Fluids 1996; 22: 175-194.
5. Brackbill JU, Ruppel HM. FLIP: a method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions. Journal of Computational Physics 1986; 65: 314-343.
6. Hockney RW, Eastwood JW. Computer Simulation Using Particles. Adam Hilger: Bristol, 1988.
7. Pavia EG. A numerical study of merging and axisymmetrization of oceanic eddies. PhD Thesis, Florida State University, 1989.
8. Pavia EG, Cushman-Roisin B. Modeling of oceanic fronts using a particle method. Journal of Geophysical Research 1988; 93: 3554-3562.
9. Pavia EG, Cushman-Roisin B. Merging of frontal eddies. Journal of Physical Oceanography 1990; 20: 791-814.
10. Aref H. Integrable, chaotic, and turbulent vortex motion in two-dimensional flows. Annual Review of Fluid Mechanics 1983; 15: 345-389.
11. Hogg NG, Stommel HM. The heton, an elementary interaction between discrete baroclinic vortices, and its implications concerning eddy heat-flow. Proceedings of the Royal Society of London A 1985; 397: 1-20.
12. Mathias BJ. Simulations of vortex evolution and interaction in a two-layer ocean with a particle method. MS Thesis, Dartmouth College, 1992.
13. Schwarz HR. Numerical Analysis: A Comprehensive Introduction. Wiley: New York, 1989.
14. Arakawa A, Mesinger F. Numerical methods used in atmospheric models. In Global Atmospheric Research Program, Vol. 1. GARP Publication Series No. 17, 1976; 1-42.
15. Cushman-Roisin B. Linear stability of large, elliptical warm-core rings. Journal of Physical Oceanography 1986; 16: 1158-1164.
16. Ripa P. On the stability of elliptical vortex solutions of the shallow-water equations. Journal of Fluid Mechanics 1987; 183: 343-363.
17. LeBoeuf JN, Tajima T, Dawson JM. A magnetohydrodynamic particle code for fluid simulation of plasmas. Journal of Computational Physics 1979; 31: 379-408.
18. Cushman-Roisin B, Merchant-Both S. Elliptical warm-core rings in a two-layer ocean with ambient shear. Journal of Physical Oceanography 1995; 25: 2011-2024.
19. Esenkov OE. Simulations of coastal currents in a two-layer ocean with a particle-in-cell method. MS Thesis, Dartmouth College, 1994.
20. Sanson LZ, Graef F, Pavia EG. Collision of anticyclonic, lens-like eddies with a meridional western boundary. Journal of Geophysical Research 1998; 103: 24881-24890.
21. Esenkov OE, Cushman-Roisin B. Modeling of two-layer eddies and coastal flows with a particle method. Journal of Geophysical Research 1999; 104: 10959-10980.