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- Title
Numerical Method For The Incompressible Euler Equations.
- Authors
Mounnumprang, Peiangpob
- Abstract
A numerical method to study the boundary value problem in which the governing equations are the steady Euler equations and the vorticity is given on the inflow parts of the domain boundary is developed. The Euler equations are implemented in terms of the stream function and vorticity. The convergence of the finite-difference equations to the exact solution is shown experimentally for the test problem by comparing the computational results with the exact solution on the sequence of grids. The numerical algorithm is illustrated with several examples of steady flow through a 2 D - channel with two inflow and outflow parts of boundary. The analysis of calculations shows strong dependence of the flow structure on the vorticity given at the inflow parts of the boundary.
- Subjects
NUMERICAL analysis; EULER method; EULER'S numbers; FINITE differences; VORTEX motion; BOUNDARY value problems
- Publication
IAENG International Journal of Applied Mathematics, 2008, Vol 38, Issue 3, p125
- ISSN
1992-9978
- Publication type
Article