@Article{AAMM-4-340, 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m11142}, url = {http://global-sci.org/intro/article_detail/aamm/123.html} }