Entropy stable reduced order modeling of nonlinear conservation laws

DOI10.1016/J.JCP.2020.109789arXiv1909.09103MaRDI QIDQ6325638

Publication date: 19 September 2019

Abstract: Reduced order models of nonlinear conservation laws in fluid dynamics do not typically inherit stability properties of the full order model. We introduce projection-based hyper-reduced models of nonlinear conservation laws which are globally conservative and inherit a semi-discrete entropy inequality independently of the choice of basis and choice of parameters.

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

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