The application of uniform body-interfering grid systems in solving the Euler equations
Abstract
A numerical procedure has been developed for calculating solutions for the Euler equations on a uniform body-interfering grid. The conservation form of the governing equations is solved using the MacCormack explicit finite difference method. Artificial dissipation is included in the governing equations to aid in shock wave capturing and steady-state convergence. Compatibility equations in conservation variables are developed using a simple physical approach. These equations are applied at the boundaries of the flowfield using the Kentzer method, which is based on characteristic theory, but uses a finite difference method to solve the compatibility equations. Verification studies are conducted for a number of steady/unsteady two-dimensional and three-dimensional flowfields for which either analytical solutions or experimentally measured results are available. Comparisons between body-interfering and body-conforming grid solutions are made. The numerical solutions predicted by the methodology are in excellent agreement with data.
Degree
Ph.D.
Advisors
Hoffman, Purdue University.
Subject Area
Mechanical engineering|Aerospace materials
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