Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Three fast computational approximation methods in hypersonic aerothermodynamics

V.V. Riabov*
Rivier College, Computer Science Department, 420 S. Main Street, Nashua, NH 03060, USA

  Full Text
ABSTRACT
The applicability of three numerical approximation methods of solving the Navier-Stokes equations (local stagnation streamline approximation, 'parabolized' equations, and the thin-viscous-shock-layer approach) have been analyzed to study nonequilibrium hypersonic viscous flows near blunt bodies. These approximations allow reducing the calculation time by factor of 10 in comparison with the time needed to solve the full Navier-Stokes equations. The study demonstrates a significant influence of regularization procedures on the approximate solutions.

Keywords:  Regularization algorithms; 'Parabolized' Navier-Stokes equations; Viscous shock layer; Nonequilibrium hypersonic flows

* Tel.: + 1 (603) 897 8613; Fax: + 1 (603) 625 4989; E-mail: vriabov@rivier.edu