TY  - JOUR
AB  - A new finite volume (FV) method is proposed for the solution of
convection‐diffusion equations defined on 2D convex domains of general shape.
The domain is approximated by a polygonal region; a structured non‐uniform
mesh is defined; the domain is partitioned in control volumes. The
conservative form of the problem is solved by imposing the law to be verified
on each control volume. The dependent variable is approximated to the second
order by means of a quadratic profile. When, for the hyperbolic equation,
discontinuities are present, or when the gradient of the solution is very
high, a cubic profile is defined in such a way that it enjoys unidirectional
monotonicity. Numerical results are given.
VL  - 6
IS  - 4
SN  - 0961-5539
DO  - 10.1108/09615539610123414
UR  - https://doi.org/10.1108/09615539610123414
AU  - De Biase L.
AU  - Feraudi F.
AU  - Pennati V.
PY  - 1996
Y1  - 1996/01/01
TI  - A finite volume method for the solution of convection—diffusion 2d
problems by a quadratic profile with smoothing
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - MCB UP Ltd
SP  - 3
EP  - 24
Y2  - 2024/04/25
ER  -