RESOLUTION METHOD FOR THE ODAR AND HAMILT ON EQUATION

The purpose of this work is to give a numerical method of solving the Odar and Hamilton equation for various asymptotic particle Reynolds nu mbers thanks to an improved treatment of the non-linearities. The meth od is validated of the motion of a particle, initially at rest, accele rated, under the effects of bulk forces. For smaller asymptotic partic le Reynolds numbers, the numerical solution tends to the exact solutio n of the Basset-Boussinesq-Oseen. We therefore show evidence of the in fluence of the memory term. For asymptotic particle Reynolds number gr eater than unity, the method is compared to a more straightforward sol ution and to recent experimental results.