Efficient solver for a special class of convection-diffusion problems
Computational Physics
2019-03-27 v2 Fluid Dynamics
Abstract
We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to the presence of a convection term, represented by a first order derivative in the spatial co-ordinate. Our algorithm reduces the convection-diffusion equation to a pure diffusion problem within a complex-valued potential which can be solved efficiently and accurately using conventional parabolic partial differential equation solvers.
Cite
@article{arxiv.1809.06717,
title = {Efficient solver for a special class of convection-diffusion problems},
author = {Narain Karedla and Jan Christoph Thiele and Ingo Gregor and Jörg Enderlein},
journal= {arXiv preprint arXiv:1809.06717},
year = {2019}
}
Comments
6 pages, 6 figures