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- W3080455851 abstract "In this paper, a nonlinear finite volume scheme preserving positivity for solving 2D steady convection-diffusion equation on arbitrary convex polygonal meshes is proposed. First, the nonlinear positivity-preserving finite volume scheme is developed. Then, in order to avoid the computed solution beyond the upper bound, the cell-centered unknowns and auxiliary unknowns on the cell-edge are corrected. We prove that the present scheme can avoid the numerical solution beyond the upper bound. Our scheme is locally conservative and has only cell-centered unknowns. Numerical results show that our scheme preserves the above conclusion and has second-order accuracy for solution." @default.
- W3080455851 created "2020-09-01" @default.
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- W3080455851 date "2020-08-21" @default.
- W3080455851 modified "2023-10-16" @default.
- W3080455851 title "Nonlinear Finite Volume Scheme Preserving Positivity for 2D Convection-Diffusion Equations on Polygonal Meshes" @default.
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- W3080455851 doi "https://doi.org/10.1155/2020/7343716" @default.
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