A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws (Q2681259)
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| English | A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws |
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A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws (English)
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7 February 2023
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The authors propose a family of unlimited and second-order accurate in space finite volume schemes for hyperbolic systems of conservation laws. They are designed in such a way that a dissipative property is required for the second-order discretization in space. A non standard global entropy inequality under a CFL condition is proved. The proof requires the strict convexity of the entropy. Some numerical tests are presented to illustrate the accuracy and stability of the proposed schemes.
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systems of conservation laws
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second-order finite volume schemes
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explicit schemes
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global entropy inequality
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