Browsing by Author "Liu, Chii-Tung"

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Modifying and Reducing Numerical Dissipation in A Two-Dimensional Central-Upwind Scheme
(2012-06-01)
Yu, Chi-Jer
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Liu, Chii-Tung
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應用數學系
;
Department of Applied Mathematics
"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."