Simulation of aerodynamics problem on a distributed shared-memory machine

A complex compressible Navier-Stokes equation using a time-accurate implicit difference scheme is parallelized using domain decomposition (DD) and loop parallelization methods. The numerical scheme used is a lower-upper alternating direction implicit (LU-ADI) factorization method with a Baldwin-Lomax (1978) turbulence model. This paper gives a preliminary result on the performance of the code on a distributed shared memory machine. The convergence rate and computational speed-up of these two methods are illustrated in the described numerical experiment. Generally, the loop parallelization shows better convergence and scaled speed-up than the domain decomposition method.