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 …

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 …

Usually, a body conforming grid is being used for computing the flow around an arbitrary
body. This approach requires coordinate transformations and/or complex grid generation …

The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases
systematically introduces the theory, code design, and application of the material point …

The level set method was devised by S. Osher and JA Sethian (1988, J. Comput. Phys. 79,
12–49) as a simple and versatile method for computing and analyzing the motion of an …

A sharp interface immersed boundary method for simulating incompressible viscous flow
past three-dimensional immersed bodies is described. The method employs a multi …

▪ Abstract We provide an overview of level set methods, introduced by Osher and Sethian,
for computing the solution to fluid-interface problems. These are computational techniques …

An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in
complex geometries is presented. A boundary condition is enforced through a ghost cell …

A practical introduction, the second edition of Fluid Simulation for Computer Graphics shows
you how to animate fully three-dimensional incompressible flow. It covers all the aspects of …

Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …