Multilevel Newton iterative solution of Euler/Navier-Stokes equations on unstructured grids

1997 ◽  
Author(s):  
G. Degrez ◽  
E. Issman ◽  
G. Degrez ◽  
E. Issman
Keyword(s):  
Stokes Equations ◽  
Unstructured Grids ◽  
Iterative Solution ◽  
Navier Stokes ◽  
Navier Stokes Equations

Numerical Modeling of Flow Over a Dam Spillway

2006 ◽  
Author(s):  
Iraj Saeedpanah ◽  
M. Shayanfar ◽  
E. Jabbari ◽  
Mohammad Haji Mohammadi
Keyword(s):  
Free Surface ◽  
Stokes Equations ◽  
Iterative Solution ◽  
Free Surface Flows ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Continuity Equations ◽  
Water Jets ◽  
Pressure Fields ◽  
Good Agreement

Free surface flows are frequently encountered in hydraulic engineering problems including water jets, weirs and around gates. An iterative solution to the incompressible two-dimensional vertical steady Navier-Stokes equations, comprising momentum and continuity equations, is used to solve for the priori unknown free surface, the velocity and the pressure fields. The entire water body is covered by a unstructured finite element grid which is locally refined. The dynamic boundary condition is imposed for the free surface where the pressure vanishes. This procedure is done continuously until the normal velocities components vanish. To overcome numerical errors and oscillations encountering in convection terms, the SUPG (streamline upwinding Petrov-Galerkin) method is applied. The solution method is tested for different discharges onto a standard spillway geometries. The results shows good agreement with available experimental data.

A Godunov-Type Scheme for Atmospheric Flows on Unstructured Grids: Euler and Navier-Stokes Equations

2007 ◽  
Vol 164 (1) ◽  
pp. 217-244 ◽  
Author(s):  
Nash'at Ahmad ◽  
Zafer Boybeyi ◽  
Rainald Löhner ◽  
Ananthakrishna Sarma
Keyword(s):  
Stokes Equations ◽  
Unstructured Grids ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Atmospheric Flows

scholarly journals Finite volume solvers and Moving Least-Squares approximations for the compressible Navier–Stokes equations on unstructured grids

2007 ◽  
Vol 196 (45-48) ◽  
pp. 4712-4736 ◽  
Author(s):  
Luis Cueto-Felgueroso ◽  
Ignasi Colominas ◽  
Xesús Nogueira ◽  
Fermín Navarrina ◽  
Manuel Casteleiro
Keyword(s):  
Least Squares ◽  
Finite Volume ◽  
Stokes Equations ◽  
Unstructured Grids ◽  
Navier Stokes ◽  
Moving Least Squares ◽  
Navier Stokes Equations
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