Finite Difference Simulations of the Navier-Stokes Equations Using Parallel Distributed Computing

 This paper discusses the implementation of a numerical algorithm for simulating incompressible fluid flows based on the finite difference method and designed for parallel computing platforms with distributed-memory, particularly for clusters of workstations. The solution algorithm for the Navier-Stokes equations utilizes an explicit scheme for pressure and an implicit scheme for velocities, i. e., the velocity field at a new time step can be computed once the corresponding pressure is known. The parallel implementation is based on domain decomposition, where the original calculation domain is decomposed into several blocks, each of which given to a separate processing node. All nodes then execute computations in parallel, each node on its associated sub-domain. The parallel computations include initialization, coefficient generation, linear solution on the subdomain, and inter-node communication. The exchange of information across the sub-domains, or processors, is achieved using t...

• Type: Conference
• Year: 2003
• Where: sbacpad
• Authors: João Paulo De Angeli, Andréa M. P. Valli, Neyval C. Reis Jr., Alberto Ferreira de Souza
• Keywords: Computer Architecture, Finite Difference Method, Hardware, Parallel Computations, Parallel Computing Platforms, SBACPAD 2003