Non-Oscillatory Central Schemes for the Incompressible 2-D Euler Equations

Doron Levy, Eitan Tadmor
1997 Mathematical Research Letters  
We adopt a non-oscillatory central scheme, first presented in the context of Hyperbolic conservation laws in [28] followed by [15] , to the framework of the incompressible Euler equations in their vorticity formulation. The embedded duality in these equations, enables us to toggle between their two equivalent representations -the conservative Hyperboliclike form vs. the convective form. We are therefore able to apply local methods, to problems with a global nature. This results in a new stable
more » ... ts in a new stable and convergent method which enjoys high-resolution without the formation of spurious oscillations. These desirable properties are clearly visible in the numerical simulations we present.
doi:10.4310/mrl.1997.v4.n3.a2 fatcat:ofwmhgavkjezthwtyvzyr5qcfm