Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: Global flux quadrature and cell entropy correction

Author:

Mantri Yogiraj,Öffner Philipp,Ricchiuto MarioORCID

Funder

Université de Bordeaux

Institut national de recherche en informatique et en automatique

Gutenberg Forschungskolleg

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference79 articles.

1. A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes;Abgrall;J. Comput. Phys.,2018

2. Relaxation deferred correction methods and their applications to residual distribution schemes;Abgrall;SMAI J. Comput. Math.,2022

3. Analysis of the SBP-SAT stabilization for finite element methods part II: entropy stability;Abgrall;Commun. Appl. Math. Comput.,2021

4. Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization;Abgrall;J. Comput. Phys.,2022

5. High order methods for CFD;Abgrall,2017

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