Parallel implementation of a Fourier-Chebyshev collocation method for incompressible fluid flow and heat transfer

A Fourier-Chebyshev collocation spectral method is parallelized to simulate the three-dimensional unsteady flow and heat transfer inside a cylindrical enclosure. Two solution approaches using different techniques for determin ing the pressure field and enforcing mass conservation are presented for sh ared memory applications using Gray directives and for distributed memory a pplications using MPI and SHMEM message passing libraries. Matrix diagonali zation is employed for solving the pressure Poisson equation and Helmholtz equations for the velocity components and temperature. The parallelization approach is described and scaling results are presented for both platform t ypes.