Fully discrete high-order TVD schemes for a scalar hyperbolic conservation law

Fully discrete high-order TVD schemes for a scalar hyperbolic conservation law

Shi, Jian; Toro, E. F.
URI: https://reports.aerade.cranfield.ac.uk/handle/1826/216

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In this paper we investigate fully discrete high-order TVD schemes for a scalar hyper- bolic conservation law using flux limiters . Formulae which define Courant number dependent TVD regions for second and third-order TVD schemes are established. A semi-empirical TVD procedure for an m-th order scheme (m ≥ 4) are proposed and tested.
 
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