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    STUDIA MATHEMATICA - Issue no. 1 / 2008  
         
  Article:   HIGHER-ORDER LINEARLY IMPLICIT ONE-STEP METHODS FOR THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS.

Authors:  IOAN TELEAGA, JENS LANG.
 
       
         
  Abstract:   In this work higher-order methods for integrating the three-dimensional incompressible Navier-Stokes equations are proposed. The numerical solution is achieved by using linearly implicit one-step methods up to third order in time coupled with up to third order stable finite element discretizations in space. These orders of convergence are demonstrated by comparing the numerical solution with exact Navier-Stokes solutions. Finally, we present benchmark computations for flow around a cylinder.  
         
     
         
         
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