Second Kind Integral Equation Formulation of Stokes’ Flows Past a Particle of Arbitrary Shape

DOI10.1137/0147047zbMath0634.76029OpenAlexW2142410882MaRDI QIDQ3773567

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147047

zbMATH Keywords

Stokeslet Lyapunov surface slow viscous flow unbounded fluid Rotlet system of linear Fredholm integral equations of the second kind single solid particle Stresslets

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Systems of nonsingular linear integral equations (45F05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items

A boundary integral formulation for elastically deformable particles in a viscous fluid, On the elastic double layer: Some exact solutions and the spectrum on the sphere, A single-layer based numerical method for the slender body boundary value problem, Integral equation formulation of the biharmonic Dirichlet problem, Completed double layer boundary element algorithm in many-body problems for a multi-processor: An implementation on the $CM-5$, Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations, Swimming and pumping by helical waves in viscous and viscoelastic fluids, Boundary integral equation analysis for suspension of spheres in Stokes flow, Existence and uniqueness result for the problem of viscous flow in a granular material with a void, Expansions at small Reynolds numbers for the flow past a porous circular cylinder, Squeezing of a periodic emulsion through a cubic lattice of spheres, Unnamed Item, A note on two boundary integral formulations for particle mobilities in Stokes flow, Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation, Traction-based completed adjoint double layer boundary element method in elasticity, A second kind integral equation formulation for the low Reynolds number interaction between a solid particle and a viscous drop, Convergence and conditioning of a Nyström method for Stokes flow in exterior three-dimensional domains, Two-dimensional hydrodynamics of a Janus particle vesicle, Stokes flow past two circular cylinders using a boundary element method, Boundary value problems for a compressible Stokes system in bounded domains in $\mathbb R^n$, An accurate integral equation method for Stokes flow with piecewise smooth boundaries, Size-dependent steady creeping microfluid flow based on the boundary element method, A fast integral equation method for solid particles in viscous flow using quadrature by expansion, A generalized traction integral equation for Stokes flow, with applications to near-wall particle mobility and viscous erosion, Multiscale model of platelet translocation and collision, How fluid-mechanical erosion creates anisotropic porous media, Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow, Mobility of an axisymmetric particle near an elastic interface, Applying a second-kind boundary integral equation for surface tractions in Stokes flow, A nearest-neighbour discretisation of the regularized stokeslet boundary integral equation, Interaction between micro-particles in Oseen flows by the method of fundamental solutions, Adhesion of a blood platelet to injured tissue, Note on the removal of rigid body motions in the solution of elastostatic traction boundary value problems by SGBEM, Existence and uniqueness result for two-dimensional porous media flows with porous inclusions based on Brinkman equation, A fast platform for simulating semi-flexible fiber suspensions applied to cell mechanics, A comparison of integral formulations for the analysis of low Reynolds number flows, A spectral boundary element approach to three-dimensional Stokes flow, Integral equation methods for particle simulations in creeping flows, A spectral-element method for particulate Stokes flow, The completed second kind integral equation formulation for Stokes flow with mixed boundary conditions, Algorithm for direct numerical simulation of emulsion flow through a granular material, Many-body microhydrodynamics of colloidal particles with active boundary layers, A multi-domain direct boundary element formulation for particulate flow in microchannels, Completed double layer in half-space: A boundary element method, Three-dimensional simulations of a platelet-shaped spheroid near a wall in shear flow, Stokes flow in a singularly perturbed exterior domain, Effect of circulating tumor cell aggregate configuration on hemodynamic transport and wall contact, Contact-aware simulations of particulate Stokesian suspensions, Completed double layer boundary element method: A numerical implementation and some experimental results, Direct second kind boundary integral formulation for Stokes flow problems, Emulsion flow through a packed bed with multiple drop breakup, A boundary-integral framework to simulate viscous erosion of a porous medium, Dynamic simulation of the flow of suspensions of two-dimensional particles with arbitrary shapes, Numerical methods for multiple inviscid interfaces in creeping flows, The completed integral equation approach for the numerical solution of the motion of $N$ solid particles in the interior of a deformable viscous drop, Analyzing irreversibilities in Stokes flows containing suspended particles using the traction boundary integral equation method, Boundary integral method for a Stokes flow past a solid sphere and a viscous drop, Dynamic simulation of locally inextensible vesicles suspended in an arbitrary two-dimensional domain, a boundary integral method, Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus, The hydrodynamics of an active squirming particle inside of a porous container, Viscous transport in eroding porous media, Parabolic velocity profile causes shape-selective drift of inertial ellipsoids, Completed double layer boundary element method in elasticity, Boundary integral equations for two-dimensional low Reynolds number flow past a porous body, Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions, A boundary integral method with volume-changing objects for ultrasound-triggered margination of microbubbles, A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$, Passively parallel regularized stokeslets, Boundary integral formulation for slow viscous flow in a deforming region containing a solid inclusion, A scalable computational platform for particulate Stokes suspensions, A Theorem on the Surface Traction Field in Potential Representations of Stokes Flow, Coupling of BEM with a large displacement and rotation algorithm, Measurements of the unsteady flow field around beating cilia, An indirect boundary integral method for a Stokes flow problem, A parallel multipolar boundary element method for internal stokes flows