Journal of Computational Physics
Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces
Journal of Computational Physics
The method of images for regularized Stokeslets
Journal of Computational Physics
Boundary integral solutions of coupled Stokes and Darcy flows
Journal of Computational Physics
An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
Journal of Computational Physics
Stokes-Darcy boundary integral solutions using preconditioners
Journal of Computational Physics
A multirate time integrator for regularized Stokeslets
Journal of Computational Physics
Computation of three-dimensional Brinkman flows using regularized methods
Journal of Computational Physics
Modeling slender bodies with the method of regularized Stokeslets
Journal of Computational Physics
Short note: A note on pressure accuracy in immersed boundary method for Stokes flow
Journal of Computational Physics
Augmented strategies for interface and irregular domain problems
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Accurate computation of Stokes flow driven by an open immersed interface
Journal of Computational Physics
Partially implicit motion of a sharp interface in Navier-Stokes flow
Journal of Computational Physics
Journal of Computational and Applied Mathematics
A regularization method for the numerical solution of periodic Stokes flow
Journal of Computational Physics
Journal of Computational Physics
A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D
Journal of Computational Physics
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A numerical method for computing Stokes flows in the presence of immersed boundaries and obstacles is presented. The method is based on the smoothing of the forces, leading to regularized Stokeslets. The resulting expressions provide the pressure and velocity field as functions of the forcing. The latter expression can also be inverted to find the forces that impose a given velocity boundary condition. The numerical examples presented demonstrate the wide applicability of the method and its properties. Solutions converge with second-order accuracy when forces are exerted along smooth boundaries. Examples of segmented boundaries and forcing at random points are also presented.