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- W2301476414 abstract "A third-order entropy stable scheme for nonlinear hyperbolic conservation laws is proposed here. This scheme contains two main ingredients: a fourth-order entropy conservative flux and a third-order numerical diffusion operator. A piecewise-quadratic reconstruction from pointwise values is developed in order to approximate the third-order dissipative term. To guarantee a non-oscillating property, a nonlinear limiter is employed and, furthermore, the scheme is proven to be entropy stable. Finally, numerical experiments are presented and demonstrate the accuracy, high-resolution, and robustness of our method." @default.
- W2301476414 created "2016-06-24" @default.
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- W2301476414 date "2016-03-01" @default.
- W2301476414 modified "2023-10-02" @default.
- W2301476414 title "A third-order entropy stable scheme for hyperbolic conservation laws" @default.
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- W2301476414 doi "https://doi.org/10.1142/s021989161650003x" @default.
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