Adaptive edge-based finite element schemes for the Euler and Navier-Stokes equations on unstructured grids

1993 ◽  
Author(s):  
HONG LUO ◽  
JOSEPH BAUM ◽  
RAINALD LOEHNER ◽  
JEAN CABELLO
Keyword(s):  
Finite Element ◽  
Stokes Equations ◽  
Unstructured Grids ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Edge Based ◽  
Finite Element Schemes

scholarly journals Enhanced Physics-Based Numerical Schemes for Two Classes of Turbulence Models

2009 ◽  
Vol 2009 ◽  
pp. 1-13
Author(s):  
Leo G. Rebholz
Keyword(s):  
Finite Element ◽  
Differential Operator ◽  
Stokes Equations ◽  
Turbulence Models ◽  
Navier Stokes ◽  
Numerical Schemes ◽  
Discrete Laplacian ◽  
Navier Stokes Equations ◽  
Approximate Deconvolution ◽  
Finite Element Schemes

We present enhanced physics-based finite element schemes for two families of turbulence models, the models and the Stolz-Adams approximate deconvolution models. These schemes are delicate extensions of a method created for the Navier-Stokes equations in Rebholz (2007), that achieve high physical fidelity by admitting balances of both energy and helicity that match the true physics. The schemes' development requires carefully chosen discrete curl, discrete Laplacian, and discrete filtering operators, in order to permit the necessary differential operator commutations.

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