Numerical Schemes for the Navier-Stokes Equations

2017 ◽  
pp. 45-78
Author(s):  
Cornel Marius Murea
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Numerical Schemes ◽  
Navier Stokes Equations

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.

scholarly journals Discrete Functional Analysis Tools for Some Evolution Equations

2018 ◽  
Vol 18 (3) ◽  
pp. 477-493 ◽  
Author(s):  
Thierry Gallouët
Keyword(s):  
Functional Analysis ◽  
Stefan Problem ◽  
Evolution Equations ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Numerical Schemes ◽  
Navier Stokes Equations ◽  
Analysis Tools ◽  
Proof Of Convergence

AbstractWe present some discrete functional analysis tools for the proof of convergence of numerical schemes, mainly for equations including diffusion terms such as the Stefan problem or the Navier–Stokes equations in the incompressible and compressible cases. Some of the results covered here have been proved in previous works, coauthored with several coworkers.

The convergence of two numerical schemes for the Navier-Stokes equations

1989 ◽  
Vol 55 (1) ◽  
pp. 33-60 ◽  
Author(s):  
Enrique Fernandez-Cara ◽  
Mercedes Marin Beltran
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Numerical Schemes ◽  
Navier Stokes Equations
Sign in / Sign up

Export Citation Format

Share Document