Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations
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Supplementary File
Type
ThesisAuthors
Sayyari, Mohammed
Advisors
Parsani, Matteo
Committee members
Keyes, David E.
Knio, Omar

Date
2018-07Permanent link to this record
http://hdl.handle.net/10754/628048
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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.Citation
Sayyari, M. (2018). Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-6O0K3ae974a485f413a2113503eed53cd6c53
10.25781/KAUST-6O0K3