Skip to main content
Have a personal or library account? Click to login
Energy and enstrophy conservation properties of high-order non-oscillatory advection schemes Cover

Energy and enstrophy conservation properties of high-order non-oscillatory advection schemes

Open Access
|Jan 1996

References

  1. Arakawa , A . 1966 . Computational design for long-term numerical integration of the equations of fluid motion. Two-dimensional incompressible flow. Part I . J. Comput. Phys . 1 , 119 143 .
  2. Arakawa , A. and Hsu , Y.-J. G . 1990 . Energy conserving and potential enstrophy dissipating schemes for the shallow water equations . Mon. Wea. Rev . 118 , 1960 1969 .
  3. Basdevant , C. , Lesieur , M. and Sadoumy , R . 1978 . Subgrid-scale modeling of enstrophy transfer in two-dimensional turbulence . J. Atmos. Sci . 35 , 1028 1042 .
  4. Bell , J. B ., Colella , P. and Glaz , H. M . 1989 . A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys . 85 , 257 283.
  5. Brachet , M. E. , Meneguzzi , M. , Politano , H. and Sulem , P. L . 1988 . The dynamics of freely decaying two-dimensional turbulence . J. Fluid Mech . 194 , 333 349 .
  6. E, W. and Shu, C.-W . 1994 . A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow . J. Comput. Phys . 110 , 39 46 .
  7. Gage , K. S. and Nastrom , G. D . 1986 . Theoretical inter-pretation of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft during GASP . J. Atmos. Sci . 43 , 729 740 .
  8. Grinstein , F. F. and Guirguis , R. H . 1992 . Effective viscosity in the simulation of spatially evolving shear flows with monotonic FCT models . J. Comput. Phys . 101 , 165 175 .
  9. Gupta , M. M . 1991 . High accuracy solutions of incompressible Navier-Stokes equations . J. Comput. Phys . 93 , 343 359 .
  10. Hamming , R. W . 1989 . Digital filters , 3rd edition . Prentice-Hall International, Inc. , Englewood Cliffs , 284 pp.
  11. Herring , J. R. , Orszag , S. A. , Kraichnan , R. H. and Fox , D. G . 1974 . Decay of two-dimensional homogeneous turbulence . J. Fluid Mech . 66 , 417 444 .
  12. Hirsch , C . 1990 . Numerical computation of internal and external flows , vol. 2 . Computational methods for inviscid and viscous flows . John Wiley & Sons Ltd. , 691 pp.
  13. Hólm , E. V . 1995 . A fully two-dimensional, non-oscillatory advection scheme for momentum and scalar transport equations . Mon. Wea. Rev . 123 , 536 552 .
  14. Lesieur , M . 1990 . Turbulence in fluids. Stochastic and numerical modelling , 2nd edition . Kluwer Academic Publishers , 412 pp
  15. Monin , A. S. and Ozmidov , R. V . 1985 . Turbulence in the ocean . D. Reidel Publishing Company, 247 pp.
  16. Pouquet , A. , Lesieur , M. , Andre , J. C. and Basdevant , C . 1975 . Evolution of high Reynolds number two-dimen-sional turbulence . J. Fluid Mech . 72 , 305 319 .
  17. Sadoumy , R. and Basdevant , C . 1985 . Parametrization of subgrid scale barotropic and baroclinic eddies in quasi-geostrophic models: Anticipated Potential Vorticity Method . J. Atmos. Sci . 42 , 1353 1363 .
  18. Smolarkiewicz , P. K. and Margolin , L. G . 1993 . On forward-in-time differencing for fluids: Extension to a curvilinear framework . Mon. Wea. Rev . 121 , 1847 1859 .
  19. Smagorinsky , J . 1993 . Some historical remarks on the use of nonlinear viscosities. Large eddy simulation of complex engineering and geophysical flows. B. Galperin and S. A. Orzag , eds. Cambridge University Press, 3 - 36 .
  20. Taylor , G. I . 1960 . The decay of eddies in a fluid. The scientific papers of Sir Geoffrey Ingram Taylor , vol. II , G. K. Batchelor , ed. Cambridge University Press , pp. 190 - 192 .
  21. Walsteijn , F. H . 1994 . Robust numerical methods for 2D turbulence . J. Comput. Phys . 114 , 129 145 .
  22. Williamson , D. L. , Drake , J. B. , Hack , J. J. , Jacob , R . and Swarztrauber , P. N. 1992 . A standard test for numerical approximations to the shallow water equations in spherical geometry. .1. Comput. Phys . 102 , 211 224.
Language: English
Page range: 122 - 137
Submitted on: Sep 6, 1994
Accepted on: Feb 17, 1995
Published on: Jan 1, 1996
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1996 Elías Valur Hólm, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.