Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes
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.
- Publication:
-
AIAA
- Pub Date:
- June 1981
- Bibcode:
- 1981fpd..conf.....J
- Keywords:
-
- Euler Equations Of Motion;
- Finite Volume Method;
- Runge-Kutta Method;
- Steady Flow;
- Step Functions;
- Transonic Flow;
- Computational Grids;
- Cray Computers;
- Fortran;
- Run Time (Computers);
- Fluid Mechanics and Heat Transfer