Parallel Pseudo-Spectral Simulations Of Nonlinear Viscous Fingering In Miscible Displacements

High performance parallel pseudo-spectral methods for the simulation of two-dimensional miscible displacements in porous media are developed. The code is designed to perform high resolution, space and time accurate simulations of nonlinear viscous finger interactions, on various distributed memory architectures. The parallelization is based on a domain decomposition approach in latu sensu, where the decomposition is done either in physical space or in the Fourier representation of the fields. Simulations show occurrence of finger interaction mechanisms on isotropic and Taylor dispersion cases, and stresses the importance of the initial conditions even for results of long time integrations. The parallel Pseudo-Spectral code is shown to be efficient on various architectures. It gives high flop/s rates on vector computers (CRAY J90 and T90) and good speedup on distributed memory systems (IBM SP2 and CRAY T3D) INTRODUCTION Oil recovery from a reservoir can be greatly improved by injection..

Parallel Pseudo-Spectral Method For Two-Phase Flows

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) @