Acceleration of the calculations on the graphics processors for the study of Stokes flow by boundary element method

Abstract

The dynamics of two immiscible liquids in an unbounded domain and viscous liquid flow in a channel with complex geometry in three dimensional case are studied in the present work. The numerical approach is based on the boundary element method and triangular meshes are used. As the problem size increase, the deficiency of the computer memory arises. This problem is solved by replacing an direct method of solution by a iterative method GMRES. To accelerate the calculations the module for a matrix-vector product "on the fly" is developed and parallelized on graphics processors (GPU). The obtained results are compared with the analytical solutions. The results of the efficiency GPU are performed.