| Abstract: | A retrospective problem consisting in the reconstruction of an apriori unknown initial state of a highly viscous, incompressible
fluid from its known final state is studied. The fluid dynamics model in the Boussinesq approximation is described by the
equations of Stokes, incompressibility, and thermal balance with the corresponding initial and boundary conditions. The problem
is solved in the inverse direction of time using a new, specially developed iterative method which makes it possible to reduce
the original unstable problem to a set of stable problems. The algorithm based on this method is realized on a parallel computer
using the OpenFOAM package for engineering calculations. The computational efficiency of the algorithm is analyzed. |
