Accuracy of the random vortex method for a problem with non-smooth initial conditions

DOI10.1016/0021-9991(85)90154-8zbMath0596.76049OpenAlexW1983420101MaRDI QIDQ1079058

Stephen G. Roberts

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://www.escholarship.org/uc/item/7np1x6q9

zbMATH Keywords

accuracyinitial conditionsvortex blobsrandom vortex methodangular moment of vorticity distributioncircular vortexinteraction of the deterministic and random components

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Waves for incompressible viscous fluids (76D33) Basic methods in fluid mechanics (76M99)

Related Items

Vortex simulation of laminar recirculating flow, Validation study of vortex methods, Random vortex methods for the Navier-Stokes equation, Three-dimensional vortex simulation of time dependent incompressible internal viscous flows, Numerical simulation of a thermally stratified shear layer using the vortex element method, An efficient surface algorithm for random-particle simulation of vorticity and heat transport, Diffusing-vortex numerical scheme for solving incompressible Navier- Stokes equations, Particle-method solution of two-dimensional convection-diffusion equations, Convergence of a random walk method for a partial differential equation, Core spreading vortex methods in two-dimensional viscous flows, A new vortex scheme for viscous flows, Efficient and highly accurate computation of a class of radially symmetric solutions of the Navier-Stokes equation and the heat equation in two dimensions

Cites Work

• Hydrodynamics in two dimensions and vortex theory
• High order accurate vortex methods with explicit velocity kernels
• Vortex methods for flow simulation
• The calculation of large Reynolds number two-dimensional flow using discrete vortices with random walk
• A comment on the paper The calculation of large Reynolds number flow using discrete vortices with random walk by F. Milinazzo and P. G. Saffman
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• Convergence of Vortex Methods for Euler’s Equations. II
• Convergence of Random Methods for a Reaction-Diffusion Equation
• Vortex Methods. II: Higher Order Accuracy in Two and Three Dimensions
• Convergence of Vortex Methods for Euler's Equations
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