Evaluation of the Biot–Savart Integral for Deformable Elliptical Gaussian Vortex Elements

DOI10.1137/050637789zbMath1122.35099OpenAlexW2068965443MaRDI QIDQ5296053

Louis F. Rossi

Publication date: 31 July 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050637789

zbMATH Keywords

fast summationnear fieldfar fielddeforming elementselliptical Gaussian functions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Rate of convergence, degree of approximation (41A25) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Approximation by other special function classes (41A30) Vortex methods applied to problems in fluid mechanics (76M23)

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