A High-order Implict Navier-Stokes Code for Turbulent Flow Simulations

Thomas Hauser
Department of Mechanical Engineering
University of Kentucky
Anderson Hall
Lexington, KY 40506, USA

Abstract

The main objective of this talk is to introduce a high-order implicit time integration method and it's diagonalized variant for the solution of the time-dependent Navier-Stokes equations. The original method requires the inversion of block-tridiagonal system of equations which is a very time consuming task. A diagonalized version of the time-integration will be described and the computational efficiency and accuracy of the two time-integration methods will be compared. The implementation of the high-order right-hand-side in curvilinear coordinates, a new treatment of the cross-diffusion and the left-hand side treatment for cache-based computers will be described. Numerical examples from a DNS of turbulence in a channel will be used to demonstrate the current numerical approach.



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