Regularized single and double layer integrals in 3D Stokes flow

Nearly Singular Integrals in 3D Stokes Flow

A straightforward method is presented for computing three-dimensional Stokes flow, due to forces on a surface, with high accuracy at points near the surface. The flow quantities arewritten as boundary integrals using the free-spaceGreen’s function. To evaluate the integrals near the boundary, the singular kernels are regularized and a simple quadrature is applied in coordinate charts. High orde...

Scientific Flow Field Simulation of Cruciform Missiles Through the Thin Layer Navier Stokes Equations

The thin-layer Navier-Stokes equations are solved for two complete missile configurations on an IBM 3090-200 vectro-facility supercomputer. The conservation form of the three-dimensional equations, written in generalized coordinates, are finite differenced and solved on a body-fitted curvilinear grid system developed in conjunction with the flowfield solver. The numerical procedure is based on ...

Regularized image system for Stokes flow outside a solid sphere

Article history: Received 25 June 2015 Received in revised form 19 March 2016 Accepted 21 April 2016 Available online 25 April 2016

Double Integrals and Iterated Integrals

Corresponding material in the book: Section 15.2, 15.3. Note: We are omitting the question types from the book that require three-dimensional visualization, i.e., those that require sketching figures in three dimensions to compute volumes. What students should definitely get: The procedure for computing double integrals over rectangles using iterated integrals, the procedure for computing doubl...

Uniform convergence of single and double sine series and integrals