Convergence of vortex methods for Euler's equations

Journal Article · Sat Jul 01 00:00:00 EDT 1978 · Math. Comput.; (United States)

DOI:https://doi.org/10.2307/2006486· OSTI ID:7048476

Hald, O; Del Prete, V M

A numerical method for approximating the flow of a two dimensional incompressible, inviscid fluid is examined. It is proved that for a short time interval Chorin's vortex method converges superlinearly toward the solution of Euler's equations, which govern the flow. The length of the time interval depends upon the smoothness of the flow and of the particular cutoff. The theory is supported by numerical experiments. These suggest that the vortex method may even be a second order method.

• OSTI ID: 7048476
• Journal Information: Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 32:1143; ISSN MCMPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FLUID FLOW
IDEAL FLOW
INCOMPRESSIBLE FLOW
NUMERICAL SOLUTION
STABILITY
TWO-DIMENSIONAL CALCULATIONS
VORTICES