@Article{AAMM-4-3,
author = {Yu, Chi-Jer and Liu, Chii-Tung},
title = {Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {3},
pages = {340--353},
abstract = {<p style="text-align: justify;">This study presents a modification of the central-upwind Kurganov
scheme for approximating the solution of the 2D Euler equation. The prototype,
extended from a 1D model, reduces substantially less dissipation than expected.
The problem arises from over-restriction of some slope limiters, which keep slopes
between interfaces of cells to be Total-Variation-Diminishing. This study reports the
defect and presents a re-derived optimal formula. Numerical experiments highlight
the significance of this formula, especially in long-time, large-scale simulations.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m11142},
url = {https://global-sci.com/article/73545/modifying-and-reducing-numerical-dissipation-in-a-two-dimensional-central-upwind-scheme}
}