A third-order entropy stable scheme for hyperbolic conservation laws
2016 ◽
Vol 13
(01)
◽
pp. 129-145
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Keyword(s):
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.
2008 ◽
pp. 347-354
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Keyword(s):
1991 ◽
Vol 13
(3)
◽
pp. 287-307
◽
2001 ◽
Vol 173
(1)
◽
pp. 1-16
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2008 ◽
Vol 198
(2)
◽
pp. 770-786
◽