Numerical evaluation of various levels of singular integrals, arising in BEM and its application in hydrofoil analysis

DOI10.1016/J.AMC.2009.03.019zbMath1168.65071OpenAlexW2036155111MaRDI QIDQ1029361

Ahmad Reza Kohansal, Hassan Ghassemi

Publication date: 10 July 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.019

zbMATH Keywords

numerical examplessingular integralsGaussian quadratureLaplace's equationboundary elementtransformation methodfoil modelinduced velocity fieldpotential and pressure distribution

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Estimating quadrature errors for an efficient method for quasi-singular boundary integral ⋮ Boundary element analysis of uncoupled transient thermo-elastic problems with time- and space-dependent heat sources

Uses Software

• BEMECH

Cites Work

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• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• On the numerical treatment of the singular integral equation of the second kind
• Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code
• Transformations for evaluating singular boundary element integrals
• Boundary element method for a hydrofoil near the free surface
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Steady and Oscillatory Subsonic and Supersonic Aerodynamics around Complex Configurations
• Prediction of wave pattern and wave resistance of surface piercing bodies by a boundary element method

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