scholarly journals Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier–Stokes Equations

2021 ◽  
pp. 117-196
Author(s):  
Andrew R. Winters ◽  
David A. Kopriva ◽  
Gregor J. Gassner ◽  
Florian Hindenlang
Keyword(s):  
Discontinuous Galerkin ◽  
Stokes Equations ◽  
Spectral Element ◽  
Navier Stokes ◽  
Spectral Element Methods ◽  
Navier Stokes Equations

scholarly journals A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations

2021 ◽  
Vol 426 ◽  
pp. 109953
Author(s):  
Andrés M. Rueda-Ramírez ◽  
Esteban Ferrer ◽  
David A. Kopriva ◽  
Gonzalo Rubio ◽  
Eusebio Valero
Keyword(s):  
Discontinuous Galerkin ◽  
Spectral Element Method ◽  
Stokes Equations ◽  
Spectral Element ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Element Method

Massively-Parallel Compressible Discontinuous Galerkin Spectral Element LES of Film Cooling

2015 ◽  
Author(s):  
Joshua L. Camp ◽  
Andrew Duggleby
Keyword(s):  
Discontinuous Galerkin ◽  
Film Cooling ◽  
Stokes Equations ◽  
Density Ratio ◽  
Spectral Element ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Blowing Ratio ◽  
Cooling Hole ◽  
Lift Off

There are many gas turbine flows that are subsonic but still at speeds where gas compresses and the assumptions made in a low-Mach formulation are inadequate. In particular, a low-Mach spectral element solver, NEK5000, was used to perform a LES study of a film cooling hole at a blowing ratio and density ratio of 1.0 and 1.5, respectively. Due to a lack of real compressibility effects in the formulation, the simulation over-predicted the velocity in the hole, leading to large coolant lift-off and poorer film cooling performance than expected. Recently, the capabilities of NEK5000 have been extended to solve the compressible Navier-Stokes equations using the discontinuous Galerkin spectral element method (DGSEM). In this paper, details of the new algorithm are given, and results of the new simulation show vast improvements over the low-Mach code and compare well to previous experimental results.

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