Non-singular boundary integral methods for fluid mechanics applications
Computational Physics
2019-10-02 v1 Classical Physics
Fluid Dynamics
Abstract
A formulation of the boundary integral method for solving partial differential equations has been developed whereby the usual weakly singular integral and the Cauchy principal value integral can be removed analytically. The broad applicability of the approach is illustrated with a number of problems of practical interest to fluid and continuum mechanics including the solution of the Laplace equation for potential flow, the Helmholtz equation as well as the equations for Stokes flow and linear elasticity.
Cite
@article{arxiv.1902.03342,
title = {Non-singular boundary integral methods for fluid mechanics applications},
author = {E. Klaseboer and Q. Sun and D. Y. C. Chan},
journal= {arXiv preprint arXiv:1902.03342},
year = {2019}
}