Abstract
A solution method for the time-dependent, incompressible Navier-Stokes, and advective-diffusive equations is presented. The method is based on a set of highly accurate superstable time integration algorithms of implicit two step which have been developed by the authors, and finite element equations of the primitive variable formulation. Particular processes regarding the convective terms lead to an iteration algorithm under linear, symmetric coefficient matrices, not to be introduced additionally artificial techniques, as for N-S equations. An unique feature in the advective-diffusive solution is the evaluation process of artificial diffusive matrices.
Numerical examples with vortex shedding behind a circular cylinder are presented to illustrate the features of the proposed method. A spot of the advective-diffusive results is shown in comparison with the integrated streaksheets visualized by S. Taneda
