Parallel computation of viscous incompressible flows with heat transfer using second-order projection methods

2001 ◽  
Author(s):  
A. Chong ◽  
M. Damodaran
Keyword(s):  
Heat Transfer ◽  
Parallel Computation ◽  
Incompressible Flows ◽  
Projection Methods ◽  
Second Order ◽  
Viscous Incompressible Flows

Semi-lagrangian integration schemes for viscous incompressible flows

2002 ◽  
Vol 2 (4) ◽  
pp. 392-409 ◽  
Author(s):  
Mohammed Seaïd
Keyword(s):  
Incompressible Flows ◽  
Stokes Equations ◽  
Two Dimensions ◽  
Second Order ◽  
Navier Stokes ◽  
Modified Method ◽  
Integration Schemes ◽  
Viscous Incompressible Flows ◽  
High Reynolds ◽  
Stream Function Formulation

AbstractA new second-order accurate scheme for the computation of unsteady viscous incompressible flows is proposed. The scheme is based on the vorticity-stream function formulation along the characteristics and consists of combining the modified method of characteristics with an explicit scheme with an extended real stability interval. A comparison of the new method with the semi-Lagrangian Cranck-Nicolson and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results are carried out on Navier-Stokes equations and this efficient second-order scheme has also made it possible to compute the driven cavity ow at a high Reynolds number on a refined grid at a reasonable cost. The procedure can be generalized to more than two dimensions.

scholarly journals Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

2013 ◽  
Vol 45 (3) ◽  
pp. 1871-1885 ◽  
Author(s):  
C. Bardos ◽  
M. C. Lopes Filho ◽  
Dongjuan Niu ◽  
H. J. Nussenzveig Lopes ◽  
E. S. Titi
Keyword(s):  
Symmetry Breaking ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Viscous Incompressible Flows
Sign in / Sign up

Export Citation Format

Share Document