scholarly journals Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer

2019 ◽  
Vol 397 ◽  
pp. 108775 ◽  
Author(s):  
Lisandro Dalcin ◽  
Diego Rojas ◽  
Stefano Zampini ◽  
David C. Del Rey Fernández ◽  
Mark H. Carpenter ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Stokes Equations ◽  
Solid Wall ◽  
Navier Stokes ◽  
Adiabatic Wall ◽  
Navier Stokes Equations ◽  
Wall Boundary ◽  
Wall Boundary Conditions ◽  
Entropy Transfer ◽  
Entropy Stable

scholarly journals Development and analysis of entropy stable no-slip wall boundary conditions for the Eulerian model for viscous and heat conducting compressible flows

2021 ◽  
Vol 2 (6) ◽  
Author(s):  
Mohammed Sayyari ◽  
Lisandro Dalcin ◽  
Matteo Parsani
Keyword(s):  
Boundary Conditions ◽  
Compressible Flows ◽  
Navier Stokes ◽  
Test Cases ◽  
Heat Conducting ◽  
Eulerian Model ◽  
Wall Boundary ◽  
Wall Boundary Conditions ◽  
Entropy Stable ◽  
Experimental Technology

AbstractNonlinear entropy stability analysis is used to derive entropy stable no-slip wall boundary conditions for the Eulerian model proposed by Svärd (Phys A Stat Mech Appl 506:350–375, 2018). The spatial discretization is based on entropy stable collocated discontinuous Galerkin operators with the summation-by-parts property for unstructured grids. A set of viscous test cases of increasing complexity are simulated using both the Eulerian and the classic compressible Navier–Stokes models. The numerical results obtained with the two models are compared, and similarities and differences are then highlighted. However, the differences are very small and probably smaller than what the current experimental technology allows to measure.

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