Local energy transfer and nonlocal interactions in homogeneous, isotropic turbulence

AIP Publishing - Tập 2 Số 3 - Trang 413-426 - 1990
J. Andrzej Domaradzki1, R. S. Rogallo2
1Department of Aerospace Engineering, University of Southern California, Los Angeles, California 90089-1191
2NASA Ames Research Center Moffett Field, CA, United States

Tóm tắt

Detailed computations were made of energy transfer among the scales of motion in incompressible turbulent fields at low Reynolds numbers generated by direct numerical simulations. It was observed that although the transfer resulted from triad interactions that were nonlocal in k space, the energy always transferred locally. The energy transfer calculated from the eddy-damped quasinormal Markovian (EDQNM) theory of turbulence at low Reynolds numbers is in excellent agreement with the results of the numerical simulations. At high Reynolds numbers the EDQNM theory predicts the same transfer mechanism in the inertial range that is observed at low Reynolds numbers, i.e., predominantly local transfer caused by nonlocal triads. The weaker, nonlocal energy transfer is from large to small scales at high Reynolds numbers and from small to large scales at low Reynolds numbers.

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Tài liệu tham khảo

1978, Appl. Sci. Res., 34, 379

1970, Phys. Fluids, 13, 2912, 10.1063/1.1692882

1976, J. Fluid Mech., 77, 45, 10.1017/S0022112076001122

1976, J. Atmos. Sci., 33, 1521, 10.1175/1520-0469(1976)033<1521:EVITAT>2.0.CO;2

1987, Phys. Fluids, 30, 2021, 10.1063/1.866216

1987, Phys. Fluids, 30, 2400, 10.1063/1.866130

1986, J. Sci. Comput., 1, 3, 10.1007/BF01061452

1987, Phys. Rev. Lett., 58, 547, 10.1103/PhysRevLett.58.547

1988, Phys. Fluids, 31, 2747, 10.1063/1.866980

1978, J. Fluid Mech., 85, 325, 10.1017/S002211207800066X

1958, J. Fluid Mech., 5, 113

1961, Dokl. Akad. Nauk SSSR, 139, 331

1963, J. Fluid Mech., 16, 545, 10.1017/S0022112063000987

1968, Phys. Fluids, 11, 945, 10.1063/1.1692063

1988, J. Sci. Comput., 3, 139, 10.1007/BF01061254

1965, Phys. Fluids, 8, 1063, 10.1063/1.1761356

1985, J. Fluid Mech., 153, 31, 10.1017/S0022112085001136

1983, J. Fluid Mech., 130, 411, 10.1017/S0022112083001159

1987, Phys. Fluids, 30, 2030, 10.1063/1.866137

1948, Proc. Natl. Acad. Sci. USA, 34, 530, 10.1073/pnas.34.11.530

1962, Phys. Fluids, 5, 583, 10.1063/1.1706660

1976, Phys. Fluids, 20, 1796

1979, J. Fluid Mech., 91, 65, 10.1017/S0022112079000045

1981, J. Atmos. Sci., 38, 2767

1985, J. Fluid Mech., 16, 405

1980, J. Fluid Mech., 97, 193, 10.1017/S0022112080002509

1979, Phys. Fluids, 22, 1440, 10.1063/1.862764

1970, J. Fluid Mech., 41, 363, 10.1017/S0022112070000642