Finite volume method using Runge-Kutta time-stepping for solution of Euler equations

Kumar, Anand (1993) Finite volume method using Runge-Kutta time-stepping for solution of Euler equations. In: CFD: Advances and Applications, 1993, India.

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Abstract

Potential flow methods have proved very useful in aerodynamics design. Nevertheless their applications is limited by the assumption of potential flow. On the other hand Euler equations provide correct description of inviscid subsonic, transonic, and supersonic flows. Other motivations for the development of Euler codes are that unlike potential flow models vortex sheets are obtained as part of the solution and in regions where shocks are present conservation of mass,momentum, and energy is maintained. Further, Euler codes are easily extended to solve Reynolds averaged Navier-Stokes equations.Jameson et aL. Proposed a method for the solution of Euler equations. The method uses a semidiscretization approach where spatial discretization is delinked from time integration. Features of the method are: a finite volume spatial discretization for treatment of complex geometry, controlled addition of artificial dissipation, a new class of multistage schemes, and techniques to accelerate solution convergence to steady state. The development of this method for the solution of Euler equations is described.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Computational fluid dynamics;Euler equations of motion; Finite volume method;Inviscid flow;Runge-kutta method;Time marching;Conservation laws;Continuity equation;Subsonic flow;Transonic flow
Subjects: AERONAUTICS > Aerodynamics
Division/Department: CSIR Centre for Mathematical Modelling and Computer Simulation
Depositing User: M/S ICAST NAL
Date Deposited: 14 Mar 2008
Last Modified: 24 May 2010 09:55
URI: http://nal-ir.nal.res.in/id/eprint/4392

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