Level set methods and dynamic implicit surfaces

S Osher, R Fedkiw, K Piechor - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
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 …

Level set methods: an overview and some recent results

S Osher, RP Fedkiw - Journal of Computational physics, 2001 - Elsevier
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 …

[图书][B] The immersed interface method: numerical solutions of PDEs involving interfaces and irregular domains

Z Li, K Ito - 2006 - SIAM
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 …

Effect of cylindrical confinement on the determination of laminar flame speeds using outwardly propagating flames

MP Burke, Z Chen, Y Ju, FL Dryer - Combustion and Flame, 2009 - Elsevier
The effect of nonspherical (ie cylindrical) bomb geometry on the evolution of outwardly
propagating flames and the determination of laminar flame speeds using the conventional …

A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles

M Sussman - Journal of Computational Physics, 2003 - Elsevier
We present a coupled level set/volume-of-fluid method for computing growth and collapse of
vapor bubbles. The liquid is assumed incompressible and the vapor is assumed to have …

A sharp interface method for incompressible two-phase flows

M Sussman, KM Smith, MY Hussaini, M Ohta… - Journal of computational …, 2007 - Elsevier
We present a sharp interface method for computing incompressible immiscible two-phase
flows. It couples the level-set and volume-of-fluid techniques and retains their advantages …

Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity

S Shin, D Juric - Journal of Computational Physics, 2002 - Elsevier
Three-dimensional multiphase flow and flow with phase change are simulated using a
simplified method of tracking and reconstructing the phase interface. The new level contour …

The immersed interface method for the Navier–Stokes equations with singular forces

Z Li, MC Lai - Journal of Computational Physics, 2001 - Elsevier
Peskin's Immersed Boundary Method has been widely used for simulating many fluid
mechanics and biology problems. One of the essential components of the method is the …

A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant

AJ James, J Lowengrub - Journal of computational physics, 2004 - Elsevier
An axisymmetric numerical method to simulate the dynamics of insoluble surfactant on a
moving liquid–fluid interface is presented. The motion of the interface is captured using a …

A level-set method for interfacial flows with surfactant

JJ Xu, Z Li, J Lowengrub, H Zhao - Journal of Computational Physics, 2006 - Elsevier
A level-set method for the simulation of fluid interfaces with insoluble surfactant is presented
in two-dimensions. The method can be straightforwardly extended to three-dimensions and …