"Parallel algorithms of solving the Poisson equation using oblique cross
grids in backward-facing step domains"
Ryazanov A.M., Finogenov S.A.
In problems of hydrodynamics for incompressible fluid, the procedure of solving the Poisson equation to determine the pressure is a main computing unit. The paper suggests a parallel implementation of the fictitious domain method for the Poisson equation in a three-dimensional backward-facing step domain. This method is based on the parallel realization of a fast algorithm for solving the Poisson equation in a parallelepiped. Some standard methods of solving this equation on the basis of the PETSc package are also considered. A comparative analysis of these two approaches is discussed using the numerical results obtained on a multiprocessor complex named "Lomonosov".
Keywords: gas dynamics, hydrodynamics, Poisson equation, method of fictitious components, parallel computing, MPI, PETSc
|Ryazanov A.M., e-mail: email@example.com; Finogenov S.A., e-mail: firstname.lastname@example.org – Nuclear Safety Institute, Russian Academy of Sciences; ulitsa Bol'shaya Tul'skaya 52, Moscow, 113191, Russia|