Implementation of the complete flux scheme with a piecewise linear approximation of the velocity field.
Comparisons with: a. the homogeneous flux scheme (Scharfetter-Gummel) b. the complete flux scheme with piecewise constant approximation of the velocity field
For more details about the implementation and the file(s), see Readme.txt
Main reference:
H. M. Cheng and J. H. M. ten Thije Boonkkamp. Complete flux scheme with variable velocity fields with applications to coupled systems of equations.
Other related references:
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J. H. M. ten Thije Boonkkamp and M. J. H. Anthonissen. The finite volume-complete flux scheme for advection-diffusion-reaction equations. Journal of Scientific Computing, 46(1):47-70, 2011.
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P. Farrell and A. Linke. Uniform second order convergence of a complete flux scheme on unstructured 1d grids for a singularly perturbed advection-diffusion equation and some multidimensional extensions. Journal of Scientific Computing, 72(1):373-395, Jul 2017.
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H. M. Cheng and J. H. M. ten Thije Boonkkamp. A Generalised Complete Flux scheme for anisotropic advection-diffusion equations. Advances in Computational Mathematics, 47(2), 2021.