Numerical Simulations of Free-Surface Incompressible Flows

This research monograph is an excellent resource for
graduate students and senior researchers in the area
of Computational Fluid Dynamics. It develops a
numerical method for computer simulations of
multi-component flows involving capillary free
surfaces, and provides detailed algorithm
implementation notes in two and three dimensions. The
monograph
also contains a comprehensive review of relevant
solution methods for the incompressible Navier-Stokes
equations and techniques for managing moving boundaries.

Chapter one introduces a new projection method
for the incompressible Navier-Stokes equations. The
normally coupled velocity and pressure are split and
solved for in two separate steps using a low-order
Finite Element. The proposed method guarantees exact
local mass conservation at a reduced computational
cost. Chapter two presents an innovative technique to
track free-moving interfaces. The technique modifies
the computational grid in the vicinity of each
interface to avoid computational cells intersected by
the interface while preserving the connectivity of
the mesh.

Autorentext

Boyan Bejanov has a MSc in Scientific Computing from the
University of Sofia, Bulgaria, and a PhD in Computational Fluid
Dynamics from the University of Alberta, Canada. His primary
research interests are numerical solutions of partial differential
equations and their applications to large-scale industrial problems.

Klappentext

This research monograph is an excellent resource for
graduate students and senior researchers in the area
of Computational Fluid Dynamics. It develops a
numerical method for computer simulations of
multi-component flows involving capillary free
surfaces, and provides detailed algorithm
implementation notes in two and three dimensions. The
monograph
also contains a comprehensive review of relevant
solution methods for the incompressible Navier-Stokes
equations and techniques for managing moving boundaries.

Chapter one introduces a new projection method
for the incompressible Navier-Stokes equations. The
normally coupled velocity and pressure are split and
solved for in two separate steps using a low-order
Finite Element. The proposed method guarantees exact
local mass conservation at a reduced computational
cost. Chapter two presents an innovative technique to
track free-moving interfaces. The technique modifies
the computational grid in the vicinity of each
interface to avoid computational cells intersected by
the interface while preserving the connectivity of
the mesh.