Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral

DOI10.1137/S1064827596314182zbMath0990.76010OpenAlexW2008413986MaRDI QIDQ4942064

Monika Nitsche

Publication date: 20 March 2000

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

Full work available at URL: https://doi.org/10.1137/s1064827596314182

zbMATH Keywords

singular integralquadrature rulespherical vortex sheetprincipal value integralboundary integral methodsaxially symmetric casevortex sheet motionapproximate integrand

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Boundary element methods applied to problems in fluid mechanics (76M15) Numerical integration (65D30) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items (11)

Numerical simulations of inviscid capillary pinchoff ⋮ Vortex blob methods applied to interfacial motion ⋮ Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow ⋮ Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics ⋮ Computation of axisymmetric suction flow through porous media in the presence of surface tension ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ Singularity formation in a cylindrical and a spherical vortex sheet ⋮ The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows ⋮ High order quadratures for the evaluation of interfacial velocities in axi-symmetric Stokes flows ⋮ Methods for computing singular and nearly singular integrals ⋮ A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods

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