Improved computational fluid dynamics for continuum hypersonic flow
Abstract
Two separate objectives were stated at the beginning of this research project: (1) to develop new numerical algorithms for the efficient and accurate solution of the continuum equations of viscous motion for hightemperature, chemically nonequilibrium, radiating hypersonic flow; and (2) to develop a new nonlinear stress strain tensor for continuum equations of motion at high altitudes that is more accurate than the NavierStokes equations. The bottom line of this final report is that, relative to each of these two objectives, much more has been accomplished than anticipated. For example, in regard to (1), a complete code was developed for computing hardbody flowfield radiation from NavierStokes equations taking into account thermodynamic, chemical, and ionization nonequilibrium; and in regard to (2), hypersonic solutions to the Burnett equations were obtained for the first time, and shown to provide both the nonlinear stressstrain tensor and heat flux vector needed to yield computations at high altitudes that are much more accurate than the NavierStokes equations. This latter development reverses a commonly accepted opinion of thirty years that the Burnett equations can not be used for such purposes.
 Publication:

Stanford Univ. Report
 Pub Date:
 January 1990
 Bibcode:
 1990stan.rept.....C
 Keywords:

 Computational Fluid Dynamics;
 Continuum Flow;
 Equations Of Motion;
 Heat Flux;
 High Altitude;
 Hypersonic Flow;
 NavierStokes Equation;
 Nonequilibrium Ionization;
 StressStrain Relationships;
 Viscous Flow;
 Nonlinear Systems;
 Tensors;
 Viscosity;
 Fluid Mechanics and Heat Transfer