Speaker: Andreas Meister, University of Kassel
Title: Flow Fields at all Speeds: Analysis, Numerics and Simulation

Abstract: We will present a comprehensive study of a finite volume method for inviscid and viscous flow fields at high and low speeds. Thereby, the results of a formal single as well as multiple scale asymptotic low Mach number analysis are used to extend the validity of the numerical method from the simulation of compressible flow fields at transonic as well as supersonic speed to the low Mach number regime. After a brief repetition of an asymptotic analysis in the continuous context we present a finite volume approximation of the governing equations. To overcome the failure of the usual numerical method in the low Mach number regime we combine the numerical flux function with a preconditioned formulation. Both, a wide variety of trans-, super-, hyper-, and subsonic realistic test cases and a formal discrete asymptotic single scale analysis are employed in order to prove the validity of the derived numerical method from hypersonic to low Mach number fluid flow.

Time: Friday, December 6 2013, 1:30-2:30 p.m.

Place: Exploratory Hall (formerly S & T II), Room 4106

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491