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Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes (1981)
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| Citations: | 517 - 78 self |
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@MISC{Jameson81numericalsolutions,
author = {Antony Jameson and Wolfgang Schmidt and Eli Turkel},
title = {Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes},
year = {1981}
}
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Abstract
A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains. The method has been used to determine the steady transonic flow past an airfoil using an O mesh. Convergence to a steady state is accelerated by the use of a variable time step determined by the local Courant member, and the introduction of a forcing term proportional to the difference between the local total enthalpy and its free stream value.
Keyphrases
euler equation numerical solution new combination variable time step local total enthalpy steady transonic flow free stream value arbitrary geometric domain local courant member effective method third order dissipative term steady state forcing term proportional runge kutta time finite volume discretization
