An implicit finite volume method for arbitrary transport equations. A finite volume framework is described for solving multiphysics transport problems. The method operates in a unique way. The transport equations and associated boundary conditions are input by the user using pseudo-mathematical expressions. A Perl program parses these equations and, via the computer algebra system Maxima, `metaprograms’ a Fortran code that solves the problem on an unstructured mesh using the Newton-Raphson method. The strength of the technique is that a fully implicit numerical formulation is generated and modified easily, for an arbitrary set of equations. The implemented algorithm (`arb’) is available for download and licensed under the GNU general public license.
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References in zbMATH (referenced in 4 articles )
Showing results 1 to 4 of 4.
- Ekanayake, Nilanka I. K.; Berry, Joseph D.; Stickland, Anthony D.; Dunstan, David E.; Muir, Ineke L.; Dower, Steven K.; Harvie, Dalton J. E.: Lift and drag forces acting on a particle moving with zero slip in a linear shear flow near a wall (2020)
- Bernal, Álvaro; Miró, Rafael; Ginestar, Damián; Verdú, Gumersindo: Resolution of the generalized eigenvalue problem in the neutron diffusion equation discretized by the finite volume method (2014)
- Berry, J. D.; Davidson, M. R.; Harvie, D. J. E.: Electroviscous flow through nanofluidic junctions (2014)
- Harvie, Dalton James Eric: An implicit finite volume method for arbitrary transport equations (2010)