A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion

Communications in Numerical Methods in Engineering

Volumn 14, Issue 7, 1998, Pages 671-679

  Wallis, S G ^a   Manson, J R ^b   Filippi, L ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS;

ONE DIMENSIONAL ADVECTION DIFFUSION; SEMI LAGRANGIAN ALGORITHMS;

ALGORITHMS;

ADVECTION; ALGORITHM; DIFFUSION;

ADVECTION; ALGORITHMS; DIFFUSION;

EID: 0032125278     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199807)14:7<671::AID-CNM181>3.0.CO;2-X     Document Type: Article

References (7)

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2. S. G. Wallis and J. R. Manson, 'Accurate numerical simulation of advection using large time steps', Int. j. numer. methods fluids, 24, 127-139 (1997).
3. B. P. Leonard, A. P. Lock and M. K. MacVean, 'The NIRVANA scheme applied to one-dimensional advection', Int. J. Numer. Methods Heath Fluid Flow, 5, 341-377 (1995).
4. P. J. Roache, 'A flux-based modified method of characteristics', Int. j. numer. methods fluids, 15, 1259-1275 (1992).
5. B. P. Leonard, 'A stable and accurate convective modelling procedure based on quadratic upstream interpolation', Comput. Methods Appl. Mech. Eng., 19, 59-98 (1979).
6. D. R. Basco, 'An implicit, wiggle free and accurate upstream finite difference algorithm for the one-dimensional advection-diffusion algorithm', USAE, Waterways Experiment Station, MP EL-84-4, 1984.
7. S. G. Wallis and J. R. Manson, 'Numerical simulation of solute transport using the QUICKEST algorithm', Proc. 2nd Int. Conf. Hyd. Model, BHR Group, Stratford-upon-Avon, June 1994.