TY - JOUR
T1 - A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.
AU - Bin Lan, Zhiqiang Sheng & Guangwei Yuan
JO - Communications in Computational Physics
VL - 5
SP - 1455
EP - 1476
PY - 2018
DA - 2018/06
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0127
UR - https://global-sci.org/intro/article_detail/cicp/12485.html
KW - Convection-diffusion equation, nonlinear, monotone, deformed meshes.
AB - <p style="text-align: justify;">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.</p>