Implementation of Aerodynamic Computations with Mathematica

Victor G. Ganzha () and Evgenii V. Vorozhtsov ()
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Victor G. Ganzha: Technical University of Munich, Institute of Informatics
Evgenii V. Vorozhtsov: Russian Academy of Sciences, Institute of Theoretical and Applied Mechanics

A chapter in Computer Algebra in Scientific Computing CASC’99, 1999, pp 101-114 from Springer

Abstract: Abstract We present a new symbolic-numerical method for stability investigation of complex finite difference or finite volume schemes for the Euler equations on curvilinear grids. We apply the method to investigation of a three-stage Runge-Kutta finite volume scheme augmented by artificial dissipator and obtain the stability condition, which is then incorporated in the Mathematica 3.0 code for aerodynamic computations. These computations for a wide range of freestream Mach numbers confirm the validity of the obtained stability condition. Results of aerodynamic numerical computations are presented.

Keywords: Mach Number; Finite Volume Scheme; Time Step Scheme; Curvilinear Grid; Freestream Mach Number (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-60218-4_8

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DOI: 10.1007/978-3-642-60218-4_8

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