Radial Basis Function Solution of the Lid-Driven Cavity Problem using the Stream Function Formulation

2009 ◽  
Author(s):  
M. Kindelan ◽  
F. Bernal
Keyword(s):  
Radial Basis Function ◽  
Stream Function ◽  
Basis Function ◽  
Driven Cavity ◽  
Function Solution ◽  
Function Formulation ◽  
Radial Basis ◽  
Stream Function Formulation

Radial basis function solution of the Motz problem

2010 ◽  
Vol 27 (5) ◽  
pp. 606-620 ◽  
Author(s):  
Francisco Bernal ◽  
Manuel Kindelan
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Function Solution ◽  
Radial Basis

scholarly journals Numerical Implementations for 2D Lid-Driven Cavity Flow in Stream Function Formulation

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
K. Poochinapan
Keyword(s):  
Reynolds Number ◽  
Stream Function ◽  
Stokes Equations ◽  
Operator Splitting ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Function Formulation ◽  
High Reynolds ◽  
Stream Function Formulation

The aim of this paper is to study the properties of approximations to nonlinear terms of the 2D incompressible Navier-Stokes equations in the stream function formulation (time-dependent biharmonic equation). The nonlinear convective terms are numerically solved by using the method with internal iterations, compared to the ones which are solved by using explicit and implicit schemes (operator splitting scheme Christov and Marinova; (2001)). Using schemes and algorithms, the steady 2D incompressible flow in a lid-driven cavity is solved up to Reynolds number Re =5000 with second-order spatial accuracy. The schemes are thoroughly validated on grids with different resolutions. The result of numerical experiments shows that the finite difference scheme with internal iterations on nonlinearity is more efficient for the high Reynolds number.

scholarly journals Stream Function Formulation of Lid Driven Cavity

2011 ◽  
Vol 1 (9) ◽  
pp. 76-78
Author(s):  
Zankhan C Sonara ◽  
◽  
Prof. Dattatraya G Subhedar ◽  
Kartik Patel
Keyword(s):  
Stream Function ◽  
Driven Cavity ◽  
Function Formulation ◽  
Stream Function Formulation
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