The numerical solution of the axially symmetric linear sloshing problem by the boundary integral equation method

DOI10.1216/JIE-2008-20-4-409zbMath1158.65338MaRDI QIDQ1001605

G. Datsiv, R. S. Chapko

Publication date: 19 February 2009

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsLaplace equationboundary integral equationsLaguerre polynomialsfree boundarylogarithmic potentialcomplete elliptic integralsNyström methodlinear sloshingevolution problem of second order in timemesh grading transformationtrigonometric quadratures

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Numerical solution of parabolic Cauchy problems in planar corner domains

Cites Work

• Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I: Modal equations
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• Quadrature methods for Symm's integral equation on polygons
• Inverse scattering for a locally perturbed half-plane
• Liquid Sloshing Dynamics
• Chebyshev Approximations for the Complete Elliptic Integrals K and E
• MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK I: A SINGLE-DOMINANT MODEL
• On the numerical solution of linear evolution problems with an integral operator coefficient
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