Entropy–Stable No–Slip Wall Boundary Conditions for the Eulerian Model for Viscous and Heat Conducting Compressible Flows

Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Nonlinear (entropy) stability analysis is used to derive entropy–stable no–slip wall boundary conditions at the continuous and semi–discrete levels for the Eulerian model proposed by Svärd in 2018 (Physica A: Statistical Mechanics and its Applications, 2018). The spatial discretization is based on discontinuous Galerkin summation-by-parts operators of any order for unstructured grids. We provide a set of two–dimensional numerical results for laminar and turbulent flows simulated with both the Eulerian and classical Navier–Stokes models. These results are computed with a high-performance ℎ–entropy–stable solver, that also features explicit and implicit entropy–stable time integration schemes.
Original languageEnglish (US)
Title of host publicationAIAA Scitech 2021 Forum
PublisherAmerican Institute of Aeronautics and Astronautics
Pages1-13
Number of pages13
ISBN (Print)9781624106095
DOIs
StatePublished - Jan 11 2021

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