Fourier-Legendre spectral methods for incompressible channel flowAn iterative collocation technique is described for modeling implicit viscosity in three-dimensional incompressible wall bounded shear flow. The viscosity can vary temporally and in the vertical direction. Channel flow is modeled with a Fourier-Legendre approximation and the mean streamwise advection is treated implicitly. Explicit terms are handled with an Adams-Bashforth method to increase the allowable time-step for calculation of the implicit terms. The algorithm is applied to low amplitude unstable waves in a plane Poiseuille flow at an Re of 7500. Comparisons are made between results using the Legendre method and with Chebyshev polynomials. Comparable accuracy is obtained for the perturbation kinetic energy predicted using both discretizations.
Document ID
19840057182
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Zang, T. A. (NASA Langley Research Center Hampton, VA, United States)
Hussaini, M. Y. (NASA Langley Research Center Hampton, VA, United States)