Optimal and near-optimal advection-diffusion finite-difference schemes. II. Unsteadiness and non-uniform grid

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 456, Issue 1995, 2000, Pages 489-502

  Smith, Ronald ^a  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Advection diffusion; Estuaries; Finite difference; Moving grids; Numerical solution; Water quality

Indexed keywords

EID: 0000248843     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0527     Document Type: Article

References (8)

1. Crandall, S. H. 1955 An optimum implicit recurrence formula for the heat conduction equation. J. Ass. Comput. Mach. 2, 42-49.
2. Crank, J. & Nicholson, P. 1947 A practical method for numerical integration of solutions of partial differential equations of heat conduction type. Proc. Camb. Phil. Soc. 43, 50-67.
3. Fischer, H. B. 1967 The mechanics of dispersion in natural streams. J. Hydraulic Engng 93, 187-215.
4. Gould, D. J. & Munro, D. 1981 Relevance of microbial mortality to outfall design. In Coastal discharges, pp. 45-50. London: Thomas Telford.
5. Gross, E. S., Koseff, J. R. & Monismith, S. G. 1999 Evaluation of advective schemes for estuarine salinity simulations. J. Hydraulic Engng 125, 32-46.
6. Lin, B. & Falconer, R. A. 1997 Tidal flow and transport modelling using ULTIMATE QUICKEST scheme. J. Hydraulic Engng 123, 303-314.
7. Richtmyer, R. D. & Morton, K. W. 1967 Difference methods for initial-value problems, 2nd edn. Wiley.
8. Smith, R. 1999 Optimal and near-optimal advcction-diffusion finite-difference schemes. I. Constant coefficient in one dimension. Proc. R. Soc. Land. A 455, 2371-2387.