An Operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow

1990 ◽  
Vol 5 (4) ◽  
pp. 263-292 ◽  
Author(s):  
Y. Maday ◽  
Anthony T. Patera ◽  
Einar M. R�nquist
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Splitting Method ◽  
Time Dependent ◽  
Incompressible Fluid Flow ◽  
Time Dependent Problems ◽  
Operator Integration

Time-dependent solutions of the Navier–Stokes equations for spatially-uniform velocity gradients

1994 ◽  
Vol 124 (1) ◽  
pp. 127-136 ◽  
Author(s):  
A. D. D. Craik
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Stokes Equations ◽  
Time Dependent ◽  
Navier Stokes ◽  
Incompressible Fluid Flow ◽  
Navier Stokes Equations ◽  
Temporal Behaviour ◽  
Uniform Velocity ◽  
Velocity Gradients

Classes of exact solutions of the Navier–Stokes equations for incompressible fluid flow are explored. These have spatially-uniform velocity gradients at each instant, but often display complex temporal behaviour. Particular illustrative cases are described and related to previously-known solutions.

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