Arbitrarily high-order linear energy stable schemes for gradient flow models
نویسندگان
چکیده
منابع مشابه
High-Order Energy Stable WENO Schemes
A new third-order Energy Stable Weighted Essentially NonOscillatory (ESWENO) finite difference scheme for scalar and vector linear hyperbolic equations with piecewise continuous initial conditions is developed. The new scheme is proven to be stable in the energy norm for both continuous and discontinuous solutions. In contrast to the existing highresolution shock-capturing schemes, no assumptio...
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A third-order Energy Stable Weighted Essentially Non–Oscillatory (ESWENO) finite difference scheme developed by Yamaleev and Carpenter (AIAA 2008–2876, 2008) was proven to be stable in the energy norm for both continuous and discontinuous solutions of systems of linear hyperbolic equations. Herein, a systematic approach is presented that enables “energy stable” modifications for existing WENO s...
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Article history: Received 4 March 2013 Received in revised form 13 August 2013 Accepted 17 August 2013 Available online 17 September 2013
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2020
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2020.109610