Spatial marching techniques for approximate solutions to the hypersonic blunt body problem

✍ Scribed by Frederick G. Blottner

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 994 KB
• Volume: 8
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650081015

✦ Synopsis

Two reduced forms of the Euler equations which allow spatial marching in subsonic flow regions are investigated for solving the inviscid blunt body problem. An analysis of the eignevalues to determine the properties of the steady and unsteady forms of the governing equations is performed. The steady forms of both the thin shock layer equations and the pressure gradient splitting method are appropriate for a marching solution technique. Numerical results from the thin layer equations are less accurate, and the suitability of this approach in a global iteration procedure is questioned as the analysis shows information is not transmitted upstream. The pressure gradient splitting method gives more accurate results with a single downstream march and appears better suited for use in a global iteration procedure to obtain the complete solution of the Euler equations. Further evaluation of the pressure gradient splitting method shows that it can be readily applied over a range of Mach numbers, and the accuracy of the results is only slightly dependent on the free-stream Mach number.