scholarly journals Discontinuous Galerkin Finite Element Investigation on the Fully-Compressible Navier–Stokes Equations for Microscale Shock-Channels

Aerospace ◽  
2018 ◽  
Vol 5 (1) ◽  
pp. 16 ◽  
Author(s):  
◽  
Keyword(s):  
Finite Element ◽  
Discontinuous Galerkin ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Galerkin Finite Element ◽  
Discontinuous Galerkin Finite Element

Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

2017 ◽  
Vol 9 (2) ◽  
pp. 362-377
Author(s):  
Gang Chen ◽  
Minfu Feng
Keyword(s):  
Exact Solution ◽  
Reynolds Number ◽  
Finite Element ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Galerkin Finite Element ◽  
Galerkin Finite Element Methods ◽  
Pressure Stabilization ◽  
Uniform Error Estimates

AbstractThis paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

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