@inproceedings{0a901f31b38a46a4a698f039d6ce43ba,
title = "Entropy stable discontinuous Galerkin finite element moment methods for compressible fluid dynamics",
abstract = "In this work we propose numerical approximations of the Boltzmann equation that are consistent with the Euler and Navier–Stoke–Fourier solutions. We conceive of the Euler and the Navier–Stokes–Fourier equations as moment approximations of the Boltzmann equation in renormalized form. Such renormalizations arise from the so-called Chapman-Enskog analysis of the one-particle marginal in the Boltzmann equation. We present a numerical approximation of the Boltzmann equation that is based on the discontinuous Galerkin method in position dependence and on the renormalized-moment method in velocity dependence. We show that the resulting discontinuous Galerkin finite element moment method is entropy stable. Numerical results are presented for turbulent flow in the lid-driven cavity benchmark.",
keywords = "Continuum fluid dynamics, Discontinuous Galerkin finite elements, Entropy stability, Moment closure, Moment systems",
author = "M.R.A. Abdelmalik and {van Brummelen}, Harald",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-30705-9_8",
language = "English",
isbn = "978-3-030-30704-2",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "75--95",
editor = "{van Brummelen}, Harald and Alessandro Corsini and Simona Perotto and Gianluigi Rozza",
booktitle = "Numerical Methods for Flows",
address = "Germany",
note = "19th International Conference on Finite Elements in Flow Problems, FEF 2017 ; Conference date: 05-04-2017 Through 07-04-2017",
}