We review some of the recent advances in level-set methods and their applications. In
particular, we discuss how to impose boundary conditions at irregular domains and free …

Developments in many modern applications are encountering rapid escalation in heat
dissipation, coupled with a need to decrease the size of thermal management hardware …

In aerodynamics related design, analysis and optimization problems, flow fields are
simulated using computational fluid dynamics (CFD) solvers. However, CFD simulation is …

The performance of the open source multiphase flow solver, interFoam, is evaluated in this
work. The solver is based on a modified volume of fluid (VoF) approach, which incorporates …

Two-phase flows are of great interest in natural and industrial applications such as rain
formation (Shaw 2003), breaking waves (Melville 1996), spray atomization (Sirignano 1999) …

Physical systems are governed by partial differential equations (PDEs). The Navier-Stokes
equations describe fluid flows and are representative of nonlinear physical systems with …

An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

This book is intended primarily as a textbook for second-year undergraduate students in
mathematics, mathematical physics, and engineering. The book is designed as a first …

Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version
of the classic text on finite-difference and finite-volume computational methods. Divided into …

This article presents a comprehensive review of numerical methods and models for interface
resolving simulations of multiphase flows in microfluidics and micro process engineering …