Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy

Well-balanced and free energy dissipative first- and second-order accurate finitevolume schemes are proposed for a general class of hydrodynamic systems with linear and nonlinear damping. The variation of the natural Lyapunov functional of the system, given by its free energy, allows for a character...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Kalliadasis, S, Perez, SP, Shu, C-W
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2020