Convergence of Vortex Methods for Euler's Equations, III

We prove the convergence of a large class of vortex methods for two-dimensional incompressible, inviscid flows with Holder continuous initial data. We present several infinite order methods and establish fourth order rate of convergence in the time variable when the ordinary differential equations i...

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Veröffentlicht in:	SIAM journal on numerical analysis 1987-06, Vol.24 (3), p.538-582
1. Verfasser:	Hald, Ole H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Estimation methods Euler equations Eulers equations Exact sciences and technology Infinity Mathematical integrals Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Runge Kutta method Sciences and techniques of general use Truncation errors Velocity distribution Vortices Vorticity
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Zusammenfassung:	We prove the convergence of a large class of vortex methods for two-dimensional incompressible, inviscid flows with Holder continuous initial data. We present several infinite order methods and establish fourth order rate of convergence in the time variable when the ordinary differential equations in the vortex method are solved by the classical Runge-Kutta method.
ISSN:	0036-1429 1095-7170
DOI:	10.1137/0724039