No-slip walls as vorticity sources in two-dimensional bounded turbulence

Batchelor, 1959, Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity, J. Fluid Mech., 5, 113, 10.1017/S002211205900009X Batchelor, 1969, Computation of the energy spectrum in homogeneous two-dimensional turbulence, Phys. Fluids, 12, 233 Borue, 1994, Inverse energy cascade in stationary two-dimensional homogeneous turbulence, Phys. Rev. Lett., 72, 1475, 10.1103/PhysRevLett.72.1475 Brachet, 1988, The dynamics of freely decaying two-dimensional turbulence, J. Fluid Mech., 194, 333, 10.1017/S0022112088003015 Cardoso, 1994, Quantitative experimental study of the free decay of quasi-two-dimensional turbulence, Phys. Rev. E, 49, 454, 10.1103/PhysRevE.49.454 Carnevale, 1991, Evolution of vortex statistics in two-dimensional turbulence, Phys. Rev. Lett., 66, 2735, 10.1103/PhysRevLett.66.2735 Carnevale, 1992, Rates, pathways, and end states of nonlinear evolution in decaying two-dimensional turbulence: scaling theory versus selective decay, Phys. Fluids A, 4, 1314, 10.1063/1.858251 Clercx, 1997, A spectral solver for the Navier–Stokes equations in the velocity-vorticity formulation for flows with two non-periodic directions, J. Comput. Phys., 137, 186, 10.1006/jcph.1997.5799 Clercx, 2000, Vortex statistics for turbulence in a container with rigid boundaries, Phys. Rev. Lett., 85, 752, 10.1103/PhysRevLett.85.752 Clercx, 2000, Energy spectra for decaying 2D turbulence in a bounded domain, Phys. Rev. Lett., 85, 306, 10.1103/PhysRevLett.85.306 Clercx, 2002, Dissipation of kinetic energy in two-dimensional bounded flows, Phys. Rev. E, 65, 066305, 10.1103/PhysRevE.65.066305 Clercx, 1998, Spontaneous spin-up during the decay of 2D turbulence in a square container with rigid boundaries, Phys. Rev. Lett., 80, 5129, 10.1103/PhysRevLett.80.5129 Clercx, 1999, Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries, Phys. Fluids, 11, 611, 10.1063/1.869933 Clercx, 2001, Two-dimensional turbulence in square and circular domains with no-slip walls, Eur. J. Mech. B Fluids, 20, 557, 10.1016/S0997-7546(01)01130-X Clercx, 2003, Quasi-two-dimensional turbulence in shallow fluid layers: the role of bottom friction and fluid layer depth, Phys. Rev. E, 67, 066303, 10.1103/PhysRevE.67.066303 Courant, 1967 Frisch, 1984, Numerical simulation of the inverse cascade in two-dimensional turbulence, Phys. Fluids, 27, 1921, 10.1063/1.864870 Hansen, 1998, Two-dimensional turbulence and dispersion in a freely decaying system, Phys. Rev. E, 58, 7261, 10.1103/PhysRevE.58.7261 Hossain, 1983, Long-time states of inverse cascades in the presence of a maximum length scale, J. Plasma Phys., 30, 479, 10.1017/S0022377800001306 Kellay, 2002, Two-dimensional turbulence: a review of some recent experiments, Rep. Prog. Phys., 65, 845, 10.1088/0034-4885/65/5/204 Kellay, 1995, Experiments with turbulent soap films, Phys. Rev. Lett., 74, 3975, 10.1103/PhysRevLett.74.3975 Kraichnan, 1967, Inertial ranges in two-dimensional turbulence, Phys. Fluids, 10, 1417, 10.1063/1.1762301 Kraichnan, 1971, Inertial-range transfer in two and three-dimensional turbulence, J. Fluid Mech., 47, 525, 10.1017/S0022112071001216 Kraichnan, 1980, Two-dimensional turbulence, Rep. Prog. Phys., 43, 547, 10.1088/0034-4885/43/5/001 Leith, 1968, Diffusion approximation for two-dimensional turbulence, Phys. Fluids, 11, 671, 10.1063/1.1691968 Leith, 1984, Minimum enstrophy vortices, Phys. Fluids, 27, 1388, 10.1063/1.864781 Legras, 1988, High-resolution numerical experiments for forced two-dimensional turbulence, Europhys. Lett., 5, 37, 10.1209/0295-5075/5/1/007 Li, 1996, Decaying two-dimensional turbulence with rigid walls, Phys. Lett. A, 218, 281, 10.1016/0375-9601(96)00401-X Li, 1996, Inverse cascades of angular momentum, J. Plasma Phys., 56, 615, 10.1017/S0022377800019498 Li, 1997, Two-dimensional turbulence with rigid circular walls, Theor. Comput. Fluid Dyn., 9, 167, 10.1007/s001620050038 Lilly, 1969, Numerical simulation of two-dimensional turbulence, Phys. Fluids, 12, 240 Maassen, 1999, Decaying quasi-2D turbulence in a stratified fluid with circular boundaries, Europhys. Lett., 46, 339, 10.1209/epl/i1999-00266-0 Maassen, 2002, Self-organization of quasi-2D turbulence in stratified fluids in square and circular containers, Phys. Fluids, 14, 2150, 10.1063/1.1480263 Maltrud, 1991, Energy spectra and coherent structures in forced two-dimensional and beta-plane turbulence, J. Fluid Mech., 228, 321 Matthaeus, 1991, Decaying, two-dimensional, Navier–Stokes turbulence at very long times, Physica D, 51, 531, 10.1016/0167-2789(91)90259-C McWilliams, J.C. The vortices of two-dimensional turbulence. J. Fluid Mech. 219, 361–385. Nam, 1999, K-spectrum of finite lifetime passive scalars in Lagrangian chaotic fluid flows, Phys. Rev. Lett., 83, 3426, 10.1103/PhysRevLett.83.3426 Niemela, 2001, The wind in confined thermal convection, J. Fluid Mech., 449, 169, 10.1017/S0022112001006310 Paret, 1997, Experimental observation of the two-dimensional inverse energy cascade, Phys. Rev. Lett., 79, 4162, 10.1103/PhysRevLett.79.4162 Rutgers, 1998, Forced two-dimensional turbulence – experimental evidence of simultaneous inverse energy and forward enstrophy cascades, Phys. Rev. Lett., 81, 2244, 10.1103/PhysRevLett.81.2244 Santangelo, 1989, The generation of vortices in high-resolution, two-dimensional decaying turbulence and the influence of initial conditions on the breaking of self-similarity, Phys. Fluids A, 1, 1027, 10.1063/1.857393 Schlichting, 1999, Boundary-Layer Theory, 822 pp Smith, 1993, Bose condensation and small-scale structure generation in a random force driven 2D turbulence, Phys. Rev. Lett., 71, 352, 10.1103/PhysRevLett.71.352 Smith, 1994, Finite-size effects in forced, two-dimensional turbulence, J. Fluid Mech., 271, 115, 10.1017/S0022112094002065 Sommeria, 1986, Experimental study of the two-dimensional inverse energy cascade in a square box, J. Fluid Mech., 170, 139, 10.1017/S0022112086000836 Tabeling, 2002, Two-dimensional turbulence: a physicist approach, Phys. Rep., 362, 1, 10.1016/S0370-1573(01)00064-3 Tran, 2003, On the dual cascade in two-dimensional turbulence, Physica D, 176, 242, 10.1016/S0167-2789(02)00771-6 Veron, 1987, Numerical simulations of a two-dimensional turbulence experiment in magnetohydrodynamics, Phys. Fluids, 30, 732, 10.1063/1.866323 Weiss, 1993, Temporal scaling behavior of decaying two-dimensional turbulence, Phys. Fluids A, 5, 608, 10.1063/1.858647