Volume 24, Issue 5
A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

Bin Lan ,  Zhiqiang Sheng and Guangwei Yuan


Commun. Comput. Phys., 24 (2018), pp. 1455-1476.

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  • Abstract

In this paper, we present a new monotone finite volume scheme for the steady state convection-diffusion equation. The discretization of diffusive flux [33] is utilised and a new corrected upwind scheme with second order accuracy for the discretization of convective flux is proposed based on some available informations of diffusive flux. The scheme is locally conservative and monotone on deformed meshes, and has only cell-centered unknowns. Numerical results are presented to show that the scheme obtains second-order accuracy for the solution and first-order accuracy for the flux.

  • History

Published online: 2018-06

  • AMS Subject Headings

35J15, 35J25, 65M08

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