scholarly journals Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids

2018 ◽  
Author(s):  
Bruno Carpentieri ◽  
Aldo Bonfiglioli
Keyword(s):  
Stokes Equations ◽  
Unstructured Grids ◽  
Schur Complement ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Variable Block ◽  
Reynolds Averaged Navier Stokes

Reynolds-Averaged Navier–Stokes Equations

2016 ◽  
pp. 237-268 ◽  
Author(s):  
Takeo Kajishima ◽  
Kunihiko Taira
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Reynolds Averaged Navier Stokes

scholarly journals Assessment of air flow distribution and hazardous release dispersion around a single obstacle using Reynolds-averaged Navier-Stokes equations

Heliyon ◽  
2019 ◽  
Vol 5 (4) ◽  
pp. e01482 ◽  
Author(s):  
Konstantinos Vasilopoulos ◽  
Ioannis E. Sarris ◽  
Panagiotis Tsoutsanis
Keyword(s):  
Stokes Equations ◽  
Air Flow ◽  
Flow Distribution ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Reynolds Averaged Navier Stokes

Simulation of Synthetic Jets Using Unsteady Reynolds-Averaged Navier-Stokes Equations

AIAA Journal ◽  
2006 ◽  
Vol 44 (2) ◽  
pp. 217-224 ◽  
Author(s):  
Veer N. Vatsa ◽  
Eli Turkel
Keyword(s):  
Stokes Equations ◽  
Synthetic Jets ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Reynolds Averaged Navier Stokes

Adaptive methods on unstructured grids for Euler and Navier-Stokes equations

1993 ◽  
Vol 22 (4-5) ◽  
pp. 485-499 ◽  
Author(s):  
R. Vilsmeier ◽  
D. Hänel
Keyword(s):  
Stokes Equations ◽  
Unstructured Grids ◽  
Adaptive Methods ◽  
Navier Stokes ◽  
Navier Stokes Equations

Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows: The Two-Dimensional Case

2013 ◽  
Vol 13 (5) ◽  
pp. 1309-1329 ◽  
Author(s):  
Laura Lazar ◽  
Richard Pasquetti ◽  
Francesca Rapetti
Keyword(s):  
Degrees Of Freedom ◽  
Stokes Equations ◽  
Schur Complement ◽  
Spectral Element ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Flow Past A Cylinder ◽  
Accuracy Study

AbstractSpectral element methods on simplicial meshes, say TSEM, show both the advantages of spectral and finite element methods, i.e., spectral accuracy and geometrical flexibility. We present aTSEM solver of the two-dimensional (2D) incompressible Navier-Stokes equations, with possible extension to the 3D case. It uses a projection method in time and piecewise polynomial basis functions of arbitrary degree in space. The so-called Fekete-Gauss TSEM is employed,i.e., Fekete (resp. Gauss) points of the triangle are used as interpolation (resp. quadrature) points. For the sake of consistency, isoparametric elements are used to approximate curved geometries. The resolution algorithm is based on an efficient Schur complement method, so that one only solves for the element boundary nodes. Moreover, the algebraic system is never assembled, therefore the number of degrees of freedom is not limiting. An accuracy study is carried out and results are provided for classical benchmarks: the driven cavity flow, the flow between eccentric cylinders and the flow past a cylinder.

A Reynolds-Averaged Navier-Stokes Solver in a Turbomachinery Design System

2007 ◽  
Author(s):  
Fahua Gu ◽  
Mark R. Anderson
Keyword(s):  
Turbulence Model ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Integrated Design ◽  
Navier Stokes ◽  
Design System ◽  
Navier Stokes Equations ◽  
Wall Functions ◽  
Machine Performance ◽  
Reynolds Averaged Navier Stokes

The design of turbomachinery has been focusing on the improvement of the machine efficiency and the reduction of the design cost. This paper presents an integrated design system to create the machine geometry and to predict the machine performance at different levels of approximation, including one-dimensional design and analysis, quasi-three-dimensional-(blade-to-blade, throughflow) and full-three-dimensional-steady-state CFD analysis. One of the most important components, the Reynolds-averaged Navier-Stokes solver, is described in detail. It originated from the Dawes solver with numerous enhancements. They include the use of the low speed pre-conditioned full Navier-Stokes equations, the addition of the Spalart-Allmaras turbulence model and an improvement of wall functions related with the turbulence model. The latest upwind scheme, AUSM, has been implemented too. The Dawes code has been rewritten into a multi-block solver for O, C, and H grids. This paper provides some examples to evaluate the effect of grid topology on the machine performance prediction.

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