AN ADAPTIVE MESH REDISTRIBUTION METHOD FOR THE THREE-PHASE NON-ISOTHERMAL FLOW PROBLEM IN THE GLOBAL FORMULATION

Abstract

The work focuses on using the adaptive mesh redistribution method to improve the accuracy
of the numerical solution of the three-phase non-isothermal flow problem. For adaptation of the
mesh to the solution, the equidistribution method is used. We use the global formulation of the
problem based on the concept of global pressure to describe three-phase non-isothermal flow. The
paper presents the equations of this model in generalized curvilinear coordinates, a numerical algorithm and the results of computational experiments carried out for a model problem of oil displacement by steam.
Keywords: adaptive mesh, equidistribution method, global pressure, numerical solution