Abstract
The incompressible Navier-Stokes equations are solved for primitive variables in staggered variable arrangement using O(Δx 6) compact (or implicit) spatial differentiation and interpolation in the wall-parallel directions. The skew-symmetric form of the advection term ensures conservation of kinetic energy. Results for disturbance growth in Poiseuille flow and LES of turbulent channel flow indicate that the scheme is superior to the 6th-order explicit approximation proposed by Morinishi et al. (1998). The extension to non-periodic boundary conditions is demonstrated for a spatially developing turbulent boundary layer.
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References
Ferziger, J. H. and M. Peric: 1997, Computational Methods for Fluid Dynamics. Berlin, Heidelberg, New York: Springer.
Germano, M., U. Piomelli, P. Moin, and W. H. Cabot: 1991, `A dynamic subgrid-scale eddy viscosity model’. Phys. Fluids A 3, 1760–1765, Erratum: 3128.
Ghosal, S.: 1996, `An analysis of numerical errors in large-eddy simulation of turbulence’. J. Comp. Phys. 125, 187–206.
Harlow, E H. and J. E. Welch: 1965, `Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface’. Phys. Fluids 8, 2182–2189.
Kaltenbach, H.-J. and D. Driller: (to appear), `Phase-error reduction in LES using a compact scheme’. In: R. Friedrich and W. Rodi (eds.): Proceedings of EUROMECH Colloquium 412 “LES of complex transitional and turbulent flows”, Munich, October 2000. Dordrecht, The Netherlands.
Kravchenko, A. and P. Moin: 1997, `On the effect of numerical errors in large-eddy simulation of turbulent flows’. J. Comp. Phys. 130, 310–322.
Lele, S. K.: 1992, `Compact finite difference schemes with spectral-like resolution’. J. Comp. Phys. 103, 16–42.
Lilly, D. K.: 1992, `A proposed modification of the Germano subgrid-scale closure method.’. Phys. Fluids A4 3, 633–635.
Lund, T. and H.-J. Kaltenbach: 1995, `Experiments with explicit filtering for LES using a finite-difference method’. In: CTR Annual Research Briefs 1995. pp. 91–105.
Lund, T. S., X. Wu, and K. D. Squires: 1998, `Generation of turbulent inflow data for spatially-developing boundary layer simulations’. J. Comp. Phys. 140, 233–258.
Mansour, N., P. Moin, W. Reynolds, and J. Ferziger: 1979, `Improved methods for large eddy simulation of turbulence’. In: F. Durst, B. Launder, F. Schmidt, and J. Whitelaw (eds.): Turbulent Shear Flows I. pp. 386–401.
Morinishi, Y., T. Lund, O. Vasilyev, and P. Moin: 1998, `Fully conservative higher order finite difference schemes for incompressible flow’. J. Comp. Phys. 143, 90–124.
Moser, R., J. Kim, and N. Mansour: 1999, `Direct numerical simulation of turbulent channel flow up to Re,- = 590’. Phys. Fluids 11.
Spalart, P. R.: 1988, `Direct simulation of a turbulent boundary layer up to Ree = 1410’. J. Fluid Mech. 187, 61.
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© 2001 Springer Science+Business Media Dordrecht
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Kaltenbach, HJ., Driller, D. (2001). Les of Wall-Bounded Turbulence Based on a 6th-Order Compact Scheme. In: Geurts, B.J., Friedrich, R., Métais, O. (eds) Direct and Large-Eddy Simulation IV. ERCOFTAC Series, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1263-7_5
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DOI: https://doi.org/10.1007/978-94-017-1263-7_5
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