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 …

Fluid–structure interaction (FSI) problems commonly encountered in engineering and
biological applications involve geometrically complex flexible or rigid bodies undergoing …

A method for reducing the spurious pressure oscillations observed when simulating moving
boundary flow problems with sharp-interface immersed boundary methods (IBMs) is …

Modeling and simulation of two-dimensional flows past deformable bodies are considered.
The incompressible Navier–Stokes equations are discretized in space onto a fixed cartesian …

Several active and passive control techniques are used to reduce the drag coefficient of the
square back Ahmed body. The results are carefully analyzed and compared to each other …

In this paper we present a numerical method for solving elliptic equations in an arbitrary
domain (described by a level-set function) with general boundary conditions (Dirichlet …

In this paper we propose a second-order accurate numerical method to solve elliptic
problems with discontinuous coefficients (with general non-homogeneous jumps in the …

In this paper we present a numerical approach to solve the Navier-Stokes equations on
moving domains with second-order accuracy. The space discretization is based on the ghost …

We consider problems governed by a linear elliptic equation with varying coefficients across
internal interfaces. The solution and its normal derivative can undergo significant variations …

We studied the arterial bypass design problem using a level set based topology optimization
method. The blood flow in the artery was considered as the non-Newtonian flow governed …