Efficient solver for a special class of convection-diffusion problems
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.
- Publication:
-
Physics of Fluids
- Pub Date:
- February 2019
- DOI:
- 10.1063/1.5079965
- arXiv:
- arXiv:1809.06717
- Bibcode:
- 2019PhFl...31b3606K
- Keywords:
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- Physics - Computational Physics;
- Physics - Fluid Dynamics
- E-Print:
- 6 pages, 6 figures