Abstract



We present in this paper a semiLagrangian algorithm to calculate the viscoelastic flow in which a dilute polymer solution is modeled by the FENE dumbbell kinetic model. In this algorithm the material derivative operator of the Navier¿Stokes equations (the macroscopic flow equations) is discretized in time by a semiLagrangian formulation of the second order backward difference formula (BDF2). This discretization leads to solving each time step a linear generalized Stokes problem. For the stochastic differential equations of the microscopic scale model, we use the second order predictorcorrector scheme proposed in [22] applied along the forward trajectories of the center of mass of the dumbbells. Important features of the algorithm are (1) the new semiLagrangian projection scheme; (2) the scheme to move and locate both the meshpoints and the dumbbells; and (3) the calculation and space discretization of the polymer stress. The algorithm has been tested on the 2d 10:1 contraction benchmark problem and has proved to be accurate and stable, being able to deal with flows at high Weissenberg (Wi) numbers; specifically, by adjusting the size of the time step we obtain solutions at Wi=444.  
International

Si 
JCR

Si 
Title

JOURNAL OF NONNEWTONIAN FLUID MECHANICS 
ISBN

03770257 
Impact factor JCR

2 
Impact info


Volume

165 

doi:10.1016/j.jnnfm.2009.10.004 
Journal number


From page

120 
To page

135 
Month

FEBRERO 
Ranking
