Contour dynamics and contour surgery: Numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows
Tài liệu tham khảo
Benzi, 1977, Europhys, 3, 811, 10.1209/0295-5075/3/7/007
Brachet, 1987, 245
Dritschel, 1988, J. Comput. Phys., 77, 240, 10.1016/0021-9991(88)90165-9
Dritschel, 1988, J. Comput. Phys., 79, 477, 10.1016/0021-9991(88)90028-9
Dritschel, 1988, J. Fluid Mech., 194, 511, 10.1017/S0022112088003088
Dritschel, 1989, On the stabilization of a two-dimensional vortex strip by adverse shear, J. Fluid Mech., 206, 10.1017/S0022112089002284
B. Legras and D.G. Dritschel, Vortex stripping, in preparation.
Dritschel, 1989, The stability of a two-dimensional vorticity filament subjected to strain, J. Fluid Mech.
Dritschel, 1989, 107
Juckes, 1987, Nature, 328, 590, 10.1038/328590a0
Legras, 1988, Europhys, 5, 37, 10.1209/0295-5075/5/1/007
Melander, 1987, J. Fluid Mech., 178, 137, 10.1017/S0022112087001150
Melander, 1988, J. Fluid Mech., 195, 303, 10.1017/S0022112088002435
Melander, 1987, Phys. Fluids, 30, 2610, 10.1063/1.866103
Fornberg, 1977, J. Comput. Phys., 25, 1, 10.1016/0021-9991(77)90023-7
Aref, 1983, Ann. Rev. Fluid Mech., 15, 349, 10.1146/annurev.fl.15.010183.002021
Basdevant, 1981, J. Atmos. Sci., 38, 2305, 10.1175/1520-0469(1981)038<2305:ASOBMF>2.0.CO;2
McWilliams, 1984, J. Fluid Mech., 146, 21, 10.1017/S0022112084001750
Roberts, 1972, Comput. Phys. Commun., 3, 14, 10.1016/0010-4655(72)90111-7
Christiansen, 1973, J. Comput. Phys., 13, 363, 10.1016/0021-9991(73)90042-9
Beale, 1982, Math. Comp., 39, 29
Christiansen, 1973, J. Fluid Mech., 61, 219, 10.1017/S0022112073000686
Zabusky, 1979, J. Comput. Phys., 30, 96, 10.1016/0021-9991(79)90089-5
Berk, 1970, Methods Comput. Phys., 9, 87
Deem, 1978, Phys. Rev. Lett., 40, 859, 10.1103/PhysRevLett.40.859
1978, 277
Norbury, 1973, J. Fluid Mech., 57, 417, 10.1017/S0022112073001266
Melander, 1987, Appl. Num. Math., 3, 59, 10.1016/0168-9274(87)90006-7
Zabusky, 1981, Ann. NY Acad. Sci., 373, 160, 10.1111/j.1749-6632.1981.tb51141.x
Wu, 1984, J. Comput. Phys., 53, 42, 10.1016/0021-9991(84)90051-2
Pierrehumbert, 1980, J. Fluid. Mech., 99, 129, 10.1017/S0022112080000559
Saffman, 1980, Phys. Fluids, 23, 2339, 10.1063/1.862935
Dritschel, 1985, J. Fluid Mech., 157, 95, 10.1017/S0022112085002324
Pierrehumbert, 1981, J. Fluid Mech., 102, 301, 10.1017/S0022112081002656
Saffman, 1979, Ann. Rev. Fluid Mech., 11, 95, 10.1146/annurev.fl.11.010179.000523
Pullin, 1985, Stud. Appl. Math., 75, 77, 10.1002/sapm198675177
Broadbent, 1983, Phys. Fluids, 28, 1561, 10.1063/1.864991
Saffman, 1982, J. Fluid Mech., 117, 171, 10.1017/S0022112082001578
Polvani, 1986, Phys. Fluids, 29, 2376, 10.1063/1.865530
Love, 1893, Proc. London Math. Soc., 25, 18, 10.1112/plms/s1-25.1.18
Kida, 1982, J. Fluid Mech., 122, 487, 10.1017/S0022112082002328
Meiron, 1984, J. Fluid Mech., 147, 187, 10.1017/S0022112084002056
Thomson, 1883, A Treatise on the Motion of Vortex Rings, 94
Lamb, 1932
Jiménez, 1988, J. Fluid Mech., 189, 337, 10.1017/S0022112088001041
Overman, 1983, Phys. Fluids, 26, 1297, 10.1063/1.864225
Overman, 1982, J. Fluid Mech., 125, 187, 10.1017/S0022112082003309
Kozlov, 1984, Oceanology, 24, 556
Kozlov, 1984, Akad. Nauk SSSR Okeanologiia, 24, 737
Kozlov, 1985, Dokl. Akad. Nauk SSSR Okeanologiia, 281, 1213
Kozlov, 1985, Izv. Akad. Nauk SSSR Mekhanika Zhidkosti i Gaza, 20, 33
Kozlov, 1985, Izv. Atmospheric and Oceanic Physics, 21, 676
Kozlov, 1985, Fiz. Atmos. Okean, 21, 879
Dritschel, 1986, J. Fluid Mech., 172, 157, 10.1017/S0022112086001696
Dritschel, 1988, J. Fluid Mech., 191, 575, 10.1017/S0022112088001715
Pulling, 1981, J. Fluid Mech., 108, 401, 10.1017/S0022112081002188
Jacobs, 1985, Phys. Fluids, 28, 1619, 10.1063/1.864953
Pullin, 1986, J. Fluid Mech., 171, 377, 10.1017/S0022112086001490
Jacobs, 1986, 602
Jacobs, 1986
Pozrikidis, 1985, J. Fluid Mech., 157, 225, 10.1017/S0022112085002361
Baker, 1986, J. Comput. Phys., 64, 112, 10.1016/0021-9991(86)90021-5
Shelley, 1987
Jacobs, 1989, J. Fluid Mech., 199, 89, 10.1017/S0022112089000303
Pozrikidis, 1986, J. Fluid Mech., 168, 337, 10.1017/S002211208600040X
Zou, 1988, J. Comput. Phys., 78, 350, 10.1016/0021-9991(88)90054-X
Zabusky, 1983, J. Comput. Phys., 52, 351, 10.1016/0021-9991(83)90035-9
Overman, 1983, Phys. Fluids, 26, 1139, 10.1063/1.864225
Shelley, 1989, On the connection between thin vortex layers and vortex sheets, J. Fluid Mech.
Buttke, 1989, A fast adaptive vortex method for patches of constant vorticity in two dimensions, J. Comput. Phys.
Sadovskii, 1971, Appl. Math. Mech., 35, 773
Moore, 1988, Phys. Fluids, 31, 978, 10.1063/1.866718
Baker, 1982, J. Fluid Mech., 123, 477, 10.1017/S0022112082003164
Pullin, 1983, Phys. Fluids, 26, 1731, 10.1063/1.864372
Simmen, 1985, Stud. Appl. Math., 73, 35, 10.1002/sapm198573135
Saffman, 1982, J. Fluid Mech., 123, 459, 10.1017/S0022112082003152
Meiburg, 1988, Phys. Fluids, 31, 429, 10.1063/1.866824
Abramowitz, 1965
Pedlosky, 1979
Stern, 1985, J. Phys. Oceanogr., 15, 1274, 10.1175/1520-0485(1985)015<1274:LWBAFI>2.0.CO;2
Stern, 1985, J. Fluid Mech., 161, 513, 10.1017/S0022112085003032
Polvani, 1988
Polvani, 1988
Helfrich, 1988, J. Fluid Mech., 197, 331, 10.1017/S0022112088003271
Kozlov, 1985, Bull. USSR Acad. Sci. Atmos. Oceanic Phys., 21
1985, Izv. Akad. Nauk SSSR Fiz. Atmos. Okeana, 21, 211
Kida, 1981, J. Phys. Soc. Japan, 50, 3517, 10.1143/JPSJ.50.3517
Neu, 1984, Phys. Fluids, 27, 2397, 10.1063/1.864543
Dritschel, 1989, The stability of elliptical vortices in an external straining flow, J. Fluid Mech.
Rayleigh, 1894, Vol. 2
Dritschel, 1989, On the structure of isolated, coherent vortices in a two-dimensional, incompressible fluid at very high Reynolds numbers, J. Fluid Mech.
M.E. McIntyre, personal communication (1988).
Solomon, 1988, Rev. Geophys., 26, 131, 10.1029/RG026i001p00131