On Improving Computational Efficiency of Simplified Fluid Flow Models

Abstract

Single-core computational efficiency of several iterative methods for numerical solution of nonsymmetric linear systems originating from simplified fluid flow models is evaluated together with different preconditioning techniques in terms of solution behaviour and the overall rate of convergence. A previously developed simplified 3D CFD model, which involves the solution of linear systems of orders usually from units to tens of thousands, is used to generate test cases. The respective Java software application employs the Parallel Colt linear algebra library. This is to ensure that the corresponding sparse matrix computations needed in different solution and preconditioning methods are carried out in as efficient a manner as possible to minimize the influence of the computer implementation itself. Measures (warm-up phase etc.) are taken to eliminate the effects of JVM specific behaviour such as JIT compilation.