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Computational study of three numerical methods for some linear and nonlinear advection-diffusion-reaction problems.
- Source :
- Progress in Computational Fluid Dynamics; Mar2017, Vol. 17 Issue 2, p114-129, 15p
- Publication Year :
- 2017
-
Abstract
- In this paper, we use three existing schemes namely, upwind forward Euler, non-standard finite difference (NSFD) and unconditionally positive finite difference (UPFD) schemes to solve two numerical experiments described by a linear and a nonlinear advection-diffusion-reaction equation with constant coefficients. These equations model exponential travelling waves and biofilm growth on a medical implant respectively. We study the exact and numerical dissipative and dispersive properties of the three schemes for both problems. Moreover, L1 error, dispersion and dissipation errors, at some values of temporal and spatial step sizes have been computed for the three schemes for both problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14684349
- Volume :
- 17
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Progress in Computational Fluid Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 123755443
- Full Text :
- https://doi.org/10.1504/PCFD.2017.082520