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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© 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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