Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations
In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy stability of the augmentation of viscous, heat and mass...
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Online Access: | Sayyari, M. (2018). Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-6O0K3 http://hdl.handle.net/10754/628048 |
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ndltd-kaust.edu.sa-oai-repository.kaust.edu.sa-10754-6280482021-02-19T05:10:56Z Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations Sayyari, Mohammed Parsani, Matteo Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division Keyes, David E. Knio, Omar entropy Stability compressible flow Navier-Stokes modified Navier-Stokes finite difference In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy stability of the augmentation of viscous, heat and mass diffusion finite difference approximations to the entropy conservative flux. Additionally, we look at different choices of the diffusion coefficient that arise from combining the viscous, heat and mass diffusion terms. Lastly, we present numerical results of the discretizations comparing the effects of the viscous terms on the oscillations near the shock and show that they preserve entropy stability. 2018-07-22T09:59:07Z 2018-07-22T09:59:07Z 2018-07 Thesis Sayyari, M. (2018). Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-6O0K3 10.25781/KAUST-6O0K3 http://hdl.handle.net/10754/628048 en |
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entropy Stability compressible flow Navier-Stokes modified Navier-Stokes finite difference |
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entropy Stability compressible flow Navier-Stokes modified Navier-Stokes finite difference Sayyari, Mohammed Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
description |
In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy stability of the augmentation of viscous, heat and mass diffusion finite difference approximations to the entropy conservative flux. Additionally, we look at different choices of the diffusion coefficient that arise from combining the viscous, heat and mass diffusion terms. Lastly, we present numerical results of the discretizations comparing the effects of the viscous terms on the oscillations near the shock and show that they preserve entropy stability. |
author2 |
Parsani, Matteo |
author_facet |
Parsani, Matteo Sayyari, Mohammed |
author |
Sayyari, Mohammed |
author_sort |
Sayyari, Mohammed |
title |
Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
title_short |
Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
title_full |
Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
title_fullStr |
Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
title_full_unstemmed |
Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations |
title_sort |
entropy stability of finite difference schemes for the compressible navier-stokes equations |
publishDate |
2018 |
url |
Sayyari, M. (2018). Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-6O0K3 http://hdl.handle.net/10754/628048 |
work_keys_str_mv |
AT sayyarimohammed entropystabilityoffinitedifferenceschemesforthecompressiblenavierstokesequations |
_version_ |
1719377693864099840 |