Numerical simulation of heterogeneous phase transformations

Numerical Simulation of Three-Phase Flow in Heterogeneous Porous Media

We describe an efficient numerical simulator, based on an operator splitting technique, for three-phase flow in heterogeneous porous media that takes into account capillary forces, general relations for the relative permeability functions and variable porosity and permeability fields. Our numerical procedure combines a non-oscillatory, second order, conservative central difference scheme for th...

Numerical Simulation of Phase Transformations in Shape Memory Alloy Thin Films

A unified variational framework and finite element simulations of phase transformation dynamics in shape memory alloy thin films are reported in this paper. The computational model is based on an approach which combines the lattice based kinetics involving the order variables and non-equilibrium thermodynamics. Algorithmic and computational issues are discussed. Numerical results on phase nucle...

Numerical simulation of two-phase immiscible incompressible flows in heterogeneous porous media with capillary barriers

We present a new version of the sequential discontinuous Galerkin method introduced in [25] for two-phase immiscible incompressible flows in heterogeneous porous media with a discontinuous capillary field. Here, a new implementation of the extended interface condition, that does not use the threshold saturation value at the interface and permits treatment of different residual saturations in di...

Numerical Simulation and Estimation of the Transvers Macrodispersivity Coefficient of Aqueous Phase (Miscible) Contaminants of Salt Water in a Heterogeneous and Homogeneous Porous Media

Deterioration of groundwater resources in coastal regions due to the progression of saline water in aquifers in these regions is currently one of the important issues in providing water needs in these areas. In coastal regions, saline water enters the aquifer from below in shape of wedge. Due to the difference in the density between fresh and salty water, an interface zone forms between two flu...

Numerical Simulation of Gas-phase Detonation Transmission