Parallel Pseudo-Spectral Method For Two-Phase Flows

Abstract

this paper is organized as follows. In the next section we briefly review the governing equations of two-phase bubbly flows. The section that follows details our pseudo-spectral method, based on Fourier expansions. The next section presents the parallel implementation, designed to achieve high performance, while retaining portability across different platforms. The following section shows the numerical results for a test case and discusses the parallel performance of the code on several computers. Finally, the paper ends with a summary of the main conclusions of this work. GOVERNING EQUATIONS The governing equations for two-phase bubbly flows have been presented by Esmaeeli and Tryggvason [1], and here will be briefly introduced. The Navier-Stokes equations for both fluids can be written as: @(aeu) @