Efficient real gas NavierStokes computations of high speed flows using an LU scheme
Abstract
An efficient method to account for the chemically frozen thermodynamic and transport properties of air in three dimensional NavierStokes calculations was demonstrated. This approach uses an explicitly specified equation of state (EOS) so that the fluid pressure, temperature and transport properties are directly related to the flow variables. Since the pressure is explicitly known as a general function of the flow variables no assumptions are made regarding the pressure derivatives in the construction of the flux Jacobians. The method is efficient since no subiterations are required to deduce the pressure and temperature from the flux variables and allows different equations of state to be easily supplied to the code. The flexibility of the EOS approach is demonstrated by implementing a high order TVD upwinding scheme based upon flux differencing and Van Leer's flux vector splitting. The EOS approach is demonstrated by computing the hypersonic flow through the corner region of two mutually perpendicular flat plates and through a simplified model of a scramjet module gapseal configuration.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetQS...C
 Keywords:

 Computational Fluid Dynamics;
 High Speed;
 Hypersonic Flow;
 Mathematical Models;
 NavierStokes Equation;
 Real Gases;
 Thermodynamic Properties;
 Transport Theory;
 Equations Of State;
 Finite Difference Theory;
 Fluid Pressure;
 Flux Vector Splitting;
 Supersonic Combustion Ramjet Engines;
 Tvd Schemes;
 Fluid Mechanics and Heat Transfer