Characteristic Euler shock-fitting formulation for multi-dimensional flows

Date

2003-09-30

Author

Basesme, EA
Akmandor, IS
Ucer, AS

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A three-dimensional explicit time marching algorithm has been developed for the numerical solution of inviscid internal flows. The formulation uses the natural streamline co-ordinate system. The unsteady Euler equations in non-conservative form are expressed in terms of the extended Riemann variables and the flow angles. Along the characteristic trajectories in the space-time domain, these equations reduce to a system of ordinary differential equations. Boundary conditions are also implemented in characteristic form. Shock waves are calculated after performing a one-point shock correction that maintains conservation across the discontinuity.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Applied Mathematics, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/66600

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

DOI

https://doi.org/10.1002/fld.623

Collections

Department of Aerospace Engineering, Article

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Citation Formats

E. Basesme, I. Akmandor, and A. Ucer, “Characteristic Euler shock-fitting formulation for multi-dimensional flows,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp. 319–343, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66600.