Implementation of a three-phase fluid flow (“oil-water-gas”) numerical model in the LuNa fragmented programming system

Abstract

The fragmented programming technology and the language implementing it are briefly introduced as well as LuNA fragmented programming system, on the example of two-dimensional boundary value problem solution, for liquid filtration “oil-water-gas” system. For parallel implementation of the boundary value problem, the parallel longitudinal-transverse sweep algorithm was applied. Using this method, the fragmented program in the LuNA system has also been implemented. The calculations are made for different number of points in the spatial variables. To compare the quality of implementation the applied numerical algorithm has been implemented in several variations: the sequential program, the parallel program using MPI and the fragmented parallel program in LuNA language using LuNA programming system.