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

Mohammed Sayyari; Lisandro Dalcin; Matteo Parsani

doi:10.2514/6.2021-1662

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 proceeding › Conference contribution

2 Scopus citations

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 language	English (US)
Title of host publication	AIAA Scitech 2021 Forum
Publisher	American Institute of Aeronautics and Astronautics
Pages	1-13
Number of pages	13
ISBN (Print)	9781624106095
DOIs	https://doi.org/10.2514/6.2021-1662
State	Published - Jan 11 2021

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10.2514/6.2021-1662

https://repository.kaust.edu.sa/bitstream/10754/667507/1/ebc.pdf

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

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 Sv{\"a}rd 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.",

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note = "KAUST Repository Item: Exported on 2021-02-19 Acknowledgements: The research reported in this paper was funded by King Abdullah University of Science and Technology. We are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at King Abdullah University of Science and Technology.",

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AU - Parsani, Matteo

N1 - KAUST Repository Item: Exported on 2021-02-19 Acknowledgements: The research reported in this paper was funded by King Abdullah University of Science and Technology. We are thankful for the computing resources of the Supercomputing Laboratory and the Extreme Computing Research Center at King Abdullah University of Science and Technology.

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N2 - 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.

AB - 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.

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BT - AIAA Scitech 2021 Forum

PB - American Institute of Aeronautics and Astronautics

ER -

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

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