English

Entropy stable reduced order modeling of nonlinear conservation laws

Numerical Analysis 2020-10-28 v2 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.1909.09103,
  title  = {Entropy stable reduced order modeling of nonlinear conservation laws},
  author = {Jesse Chan},
  journal= {arXiv preprint arXiv:1909.09103},
  year   = {2020}
}

Comments

Accepted to JCP