An integral equation method for the solution of singular slow flow problems

DOI10.1016/0021-9991(83)90084-0zbMath0523.76016OpenAlexW2023453447MaRDI QIDQ1056619

Mark A. Kelmanson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90084-0

zbMATH Keywords

vorticitystream functionstick-slip problemtwo dimensionalbiharmonic boundary integral equation methodsingularity treated semi- analyticallyslow viscous

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

Related Items (29)

A consistency analysis for the numerical solution of boundary integral equations ⋮ Mass- and momentum-conserving spectral methods for Stokes flow ⋮ Annihilation of boundary singularities via suitable Green's functions ⋮ Viscous flow down a slope in the vicinity of a contact line ⋮ Effect of an electric field on film flow down a corrugated wall at zero Reynolds number ⋮ Boundary integral simulations of liquid emptying from a model gravure cell ⋮ An extension of the biharmonic boundary integral method to free surface flow in channels ⋮ Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method ⋮ Flows in slip-patterned micro-channels using boundary element methods ⋮ A Stokes-Brinkman model of the fluid flow in a periodic cell with a porous body using the boundary element method ⋮ Boundary integral equation solution of viscous flows with free surfaces ⋮ The separation angle of the free surface of a viscous fluid at a straight edge ⋮ A novel non-primitive boundary integral equation method for three-dimensional and axisymmetric Stokes flows ⋮ Regular hybrid boundary node method for biharmonic problems ⋮ A numerical model of fibrous filters containing deposit ⋮ Time-dependent free surface Stokes flow with a moving contact line. I. Flow over plane surfaces ⋮ Free surface Stokes flow over topography ⋮ Solution of nonhomogeneous Helmholtz equation with variable coefficient using boundary domain integral method ⋮ Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock ⋮ Instantaneous viscous flow in a corner bounded by free surfaces ⋮ A non-primitive boundary element technique for modeling flow through non-deformable porous medium using Brinkman equation ⋮ The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions ⋮ Boundary-integral simulations of containerless solidification. ⋮ The method of fundamental solutions for the numerical solution of the biharmonic equation ⋮ The DRM subdomain decomposition approach to solve the two-dimensional Navier-Stokes system of equations ⋮ Unnamed Item ⋮ Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem ⋮ A non-primitive boundary integral formulation for modeling flow through composite porous channel ⋮ An integral equation justification of the boundary conditions of the driven-cavity problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method
• The numerical solution of plane potential problems by improved boundary integral equation methods
• On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
• Integral equation solutions for simply supported polygonal plates
• The separation of a viscous liquid at a straight edge
• A numerical study of the deformation and burst of a viscous drop in an extensional flow
• The Flow of a Non-Newtonian Fluid Past Projections and Depressions
• A numerical study of the deformation and burst of a viscous drop in general shear flows
• A CONTOUR INTEGRAL FORMULATION OF PLANE CREEPING NEWTONIAN FLOW
• Stokes flow past a particle of arbitrary shape: a numerical method of solution
• On the shape of a gas bubble in a viscous extensional flow
• Viscous and resistive eddies near a sharp corner

This page was built for publication: An integral equation method for the solution of singular slow flow problems