In an operating nuclear reactor core, various physical phenomena of different nature are
interrelated. Multi-physics calculations that account for the interrelated nature of the …

In this paper we consider fully mass-conservative numerical schemes for the simulation of
incompressible and immiscible two-phase flow in porous media with capillary pressure …

This work explains how to solve evolution equations via novel iterative-based splitting
methods that efficiently use computational and memory resources. It focuses on systems of …

In this paper, we present an efficient numerical method for two-phase immiscible flow in
porous media with different capillarity pressures. In highly heterogeneous permeable media …

In this paper we design higher-order time integrators for systems of stiff ordinary differential
equations. We combine implicit Runge–Kutta and BDF methods with iterative operator …

When I started this book project, I proposed to write a book about my recent advances in
mathematical modelling problems to multicomponent and multiscale systems. I considered …

This work is a continuation of Kou and Sun [36] where we present an efficient improvement
on the IMplicit Pressure Explicit Saturation (IMPES) method for two-phase immiscible fluid …

In this work we consider a new efficient IMplicit Pressure Explicit Saturation (IMPES) scheme
for the simulation of incompressible and immiscible two-phase flow in heterogeneous …

In this article, we present a numerical iterative method for the solution of internal viscous and
incompressible flows in real porous three-dimensional bodies at their pore scale. We use …

Split-operator methods are commonly used to approximate environmental models. These
methods facilitate the tailoring of different approximation approaches to different portions of …