Abstract
Environmental flows are replete with situations where shear and stratification coexist, and many attempts have been made to understand the generation and evolution of turbulence in stratified shear flows. Early studies have been made using laboratory simulations (Webster [32] and Rohr et al. [29]), but with increasing computer power, direct numerical simulations (DNS) and large eddy simulations (LES) have become powerful tools for studies of shear-stratified turbulence. There are many reports with numerical approaches, most of them using DNS (Gerz et al. [12], Holt et al. [14], Jacobitz et al. [16] and Werne et al. [33]) and others using LES (Kaltenbach et al. [17]).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. Babin, A. Mahalov, B. Nicolaenko and Y. Zhou, Theoret. Comput. Fluid Dynamics, 9, 223–251, (1997)
A. Babin, A. Mahalov and B. Nicolaenko, Theoret. Comput. Fluid Dynamics, 11 215–235, (1998).
R. Beland, U.S.A.F. PI/GPOL Report, Hanscom AFB, (1996).
K. Black, SIAM J. Sci. Comput., 19, No. 5, 1667–1681 (1998).
C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag Berlin Heidelberg, (1988).
E. N. Curchitser, M. Iskandarani and D. B. Haidvogel, J. Atmos. Oceanic Tech., 15, 510–521, (1998).
C. Doering and P. Constantin, Phys. Rev. E, 53, 5957–5981, (1996).
P. Fischer, L. W. Ho, G. E. Karniadakis, E. Ronquist and A. T. Patera, Comput. Structures, 30, 217–231, (1988).
P. F. Fischer and E. M. Ronquist, Comput. Methods Appl. Mech. Engrg., 166, 69–76, (1994).
B. Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, (1996).
I. T. Foster and P. H. Worley, SIAM J. Sci. Comput., 18, No.3, 806–837, (1997).
T. Gerz, U. Schumann and S. E. Elghobash, J. Fluid Mech., 200, 563–594, (1989).
J. S. Heastheaven and D. Gottlieb, SIAM J. Sci. Comput., 17, No. 3, 579, (1996).
S. E. Holt, J. R. Koseff and J. H. Ferziger, J. Fluid Mech., 237, 499–539, (1992).
L. Howard, Ann. Rev. Fluid Mech., 4, 473–494, (1972).
F. G. Jacobitz, S. Sarkar and C. W. van Atta, J. Fluid Mech., 342, 231–261, (1997).
H. J. Kaltenbach, T. Gerz and U. Schumann, J. Fluid Mech., 280, 1–40, (1994).
G. E. Karniadakis, Appl. Num. Math., 6, 85–105, (1989/90).
D. Keyser and M. A. Shapiro, Monthly Weather Review, 114, 452–499, (1985).
J. Kim, P. Moin and R. Moser, J. Fluid Mech., 177, 133–166 (1987).
M. Lesieur, Turbulence in Fluids, Kluwer Academic Publishers, (1997).
D. K. Lilly, G. B. Basset, K. Drogemeier and P. Bartello, Theoret. Comput. Fluid Dynamics, 11, 139–153, (1998).
M. C. Macaraeg and C. L. Streett, Appl. Numer. Math., 2, 95, (1986).
J. C. McWilliams, J. B. Weiss and I. Yavneh, Science, 264, 410–413, (1994).
G. D. Nastrom and K. S. Gage, J. Atmos. Sci., 42, 950–960, (1985).
S. A. Orszag, J. Comput. Phys., 37, 70, (1980).
A. T. Patera, J. Comput. Phys., 54, 468, (1984).
J. M. Prusa, P. K. Smolarkiewicz, and A. A. Wyszogrodzki, SIAM News, V32, 7, (1999).
J. J. Rohr, E. C. Itsweirem, K. N. Helland and C. W. Atta, J. Fluid Mech., 187, 1–33, (1988).
H. Tennekes and J. L. Lumley, A First Course in Turbulence, The MIT Press, (1992).
Z. Warhaft, Ann. Rev. Fluid Mech., (in press).
C. A. G. Webster, J. Fluid Mech., 19, 221–245, (1964).
J. Werne and D. C. Fritts, Geophysical Research Letters, 26, No.4, 439–442, (1999).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-VerlagBerlin Heidelber
About this paper
Cite this paper
Tse, K., Mahalov, A., Nicolaenko, B., Fernando, J. (2001). A Spectral Domain Decomposition Method and Its Application to the Simulation of Shear-Stratified Turbulence. In: Lumley, J.L. (eds) Fluid Mechanics and the Environment: Dynamical Approaches. Lecture Notes in Physics, vol 566. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44512-9_19
Download citation
DOI: https://doi.org/10.1007/3-540-44512-9_19
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41475-9
Online ISBN: 978-3-540-44512-8
eBook Packages: Springer Book Archive