Accurate discretization of advection-diffusion equations

R. Grima*, T. J. Newman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present an exact mathematical transformation which converts a wide class of advection-diffusion equations into a form allowing simple and direct spatial discretization in all dimensions, and thus the construction of accurate and more efficient numerical algorithms. These discretized forms can also be viewed as master equations which provide an alternative mesoscopic interpretation of advection-diffusion processes in terms of diffusion with spatially varying hopping rates.

Original languageEnglish
Article number036703
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume70
Issue number3
DOIs
Publication statusPublished - Sep 2004

Keywords

  • CHEMOTAXIS MODEL

Fingerprint

Dive into the research topics of 'Accurate discretization of advection-diffusion equations'. Together they form a unique fingerprint.

Cite this