A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries
The authors present a fully conservative, high-resolution, finite volume algorithm for advection-diffusion equations in irregular geometries. The algorithm uses a Cartesian grid in which some cells are cut by the embedded boundary. A novel feature is the use of a capacity function to model the fact that some cells are only partially available to the fluid. The advection portion then uses the explicit wave-propagation methods implemented in CLAWPACK, and is stable for Courant numbers up to 1. Diffusion is modeled with an implicit finite-volume algorithm. Results are shown for several geometries. Convergence is verified and the 1-norm order of accuracy is found to between 1.2 and 2 depending on the geometry and Peclet number. Software is available on the web.
- Research Organization:
- Univ. of Washington, Seattle, WA (US)
- Sponsoring Organization:
- National Science Foundation (NSF); USDOE
- DOE Contract Number:
- FG03-96ER25292
- OSTI ID:
- 20014347
- Journal Information:
- Journal of Computational Physics, Vol. 157, Issue 1; Other Information: PBD: 1 Jan 2000; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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