@Article{CiCP-2-1,
author = {},
title = {On the Reduction of Numerical Dissipation in Central-Upwind Schemes},
journal = {Communications in Computational Physics},
year = {2007},
volume = {2},
number = {1},
pages = {141--163},
abstract = {<p style="text-align: justify;">We study central-upwind schemes for systems of hyperbolic conservation
laws, recently introduced in [13]. Similarly to staggered non-oscillatory central schemes,
these schemes are central Godunov-type projection-evolution methods that enjoy the
advantages of high resolution, simplicity, universality and robustness. At the same
time, the central-upwind framework allows one to decrease a relatively large amount
of numerical dissipation present at the staggered central schemes. In this paper, we
present a modification of the one-dimensional fully- and semi-discrete central-upwind
schemes, in which the numerical dissipation is reduced even further. The goal is
achieved by a more accurate projection of the evolved quantities onto the original grid.
In the semi-discrete case, the reduction of dissipation procedure leads to a new, less
dissipative numerical flux. We also extend the new semi-discrete scheme to the two-dimensional
case via the rigorous, genuinely multidimensional derivation. The new
semi-discrete schemes are tested on a number of numerical examples, where one can
observe an improved resolution, especially of the contact waves.</p>},
issn = {1991-7120},
doi = {https://doi.org/2007-CiCP-7900},
url = {https://global-sci.com/article/81311/on-the-reduction-of-numerical-dissipation-in-central-upwind-schemes}
}