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- W2319672548 abstract "A high-order shock-capturing framework is presented, that includes three key components, namely entropybounding, shock detection and artificial viscosity. The discontinuous Galerkin scheme is used to provide the discretization foundation, although the entire methodology is applicable to any discontinuous scheme. In this framework, entropy-bounding guarantees the numerical robustness by completely avoiding the appearance of non-physical quantities. An entropy-residual based shock detector is developed, which is able to accurately locate discontinuities. Building on the first two components, artificial viscosity is introduced locally to reduce spurious oscillations. By conducting Fourier analysis, a algebraic relation for the artificial viscosity is derived, which is linked to the eigen-spetrum of the numerical discretization. The resulting numerical framework offers a good balance between shock-capturing and computational efficiency for explicit time integration. Several test cases are conducted to confirm the benefits of using this method." @default.
- W2319672548 created "2016-06-24" @default.
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- W2319672548 creator A5054791498 @default.
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- W2319672548 date "2015-01-03" @default.
- W2319672548 modified "2023-09-28" @default.
- W2319672548 title "A general and robust high-order numerical framework for shock-capturing: entropy-bounding, shock detection and artificial viscosity" @default.
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- W2319672548 doi "https://doi.org/10.2514/6.2015-0572" @default.
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