Library Subscription: Guest
TSFP DL Home Archives Executive Committee

A NEW APPROACH TO LES BASED ON EXPLICIT FILTERING

Joseph Mathew
Department of Aerospace Engineering, Indian Institute of Science, Bangalore, 560012, INDIA

Holger Foysi
Aerodynamic Institute RWTH Aachen; Fachgebiet Stromungsmechanik TU Munchen, Boltzmannstr. 15, D-85748 Garching, Germany; UC San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA

Rainer Friedrich
Lehrstuhl für Aerodynamik, Technische Universität München Boltzmannstrasse 15, D-85748 Garching, Germany

Abstract

A new model for large eddy simulation is derived by considering a formal extension to the deconvolution method of Stolz and Adams (1999) as interpreted in Mathew et al. (2003). The new model terms are shown to reduce the error in approximating the governing differential equations, and are evaluated with a simple, additional filtering step. This approach holds special promise for compressible flows, which have several kinds of nonlinearities besides convection, because all non-linearities are treated in a uniform, mathematically consistent way without recourse to heuristic modeling. The method was assessed by computing supersonic channel flows with passive scalar transport at high Reynolds numbers and found to give excellent results.