Multi-scale meshfree parallel computations for viscous, compressible flows Original Research Article

In this paper, a Petrov–Galerkin formulation for a viscous, compressible fluid using the meshless reproducing kernel particle method (RKPM) is first presented. The location of shocks is determined from the high-scale part of the solution using multiresolution analysis. A parallel computer implementation for distributed memory architectures is then proposed, including a discussion of handling boundary conditions in parallel. Preliminary results for 1–16 processors of an IBM SP computer are presented, and future directions for a massively parallel implementation are outlined.