We propose an efficient semi-Lagrangian method for solving the two-dimensional
incompressible Euler equations with high precision on a coarse grid. This new approach …

A three-dimensional numerical model of vesicle electrohydrodynamics in the presence of
DC electric fields is presented. The vesicle membrane is modeled as a thin capacitive …

We propose an efficient semi-Lagrangian Characteristic Map** (CM) method for solving
the three-dimensional (3D) incompressible Euler equations. This method evolves advected …

We present a new numerical method for transporting arbitrary sets in a velocity field. The
method computes a deformation map** of the domain and advects particular sets by …

A finite-difference based numerical method for the simulation of multiphase incompressible
flows is presented. The proposed algorithm adapts the gradient-augmented level set method …

We propose a novel numerical methodology to compute the advective transport and
diffusion-reaction of tracer quantities. The tracer advection occurs through flow map …

Biological membranes are host to proteins and molecules which may form domain-like
structures resulting in spatially varying material properties. Vesicles with such …

In many interfacial flow systems, variations of surface properties lead to novel and
interesting behaviors. In this work a three-dimensional model of flow dynamics for …

A numerical and systematic parameter study of three-dimensional vesicle
electrohydrodynamics is presented to investigate the effects of varying electric field strength …

We examine the use of Hermite interpolation, that is interpolation using derivative data, in
place of Lagrange interpolation to develop high-order PDE solvers. The fundamental …