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 …

Immersed boundary methods

H Bandringa - 2010 - fse.studenttheses.ub.rug.nl
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 …

[BOOK][B] Computational fluid mechanics and heat transfer

D Anderson, JC Tannehill, RH Pletcher, R Munipalli… - 2020 - taylorfrancis.com
Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version
of the classic text on finite-difference and finite-volume computational methods. Divided into …

A multiphase level set framework for image segmentation using the Mumford and Shah model

LA Vese, TF Chan - International journal of computer vision, 2002 - Springer
We propose a new multiphase level set framework for image segmentation using the
Mumford and Shah model, for piecewise constant and piecewise smooth optimal …

ChatGPT for programming numerical methods

A Kashefi, T Mukerji - … of Machine Learning for Modeling and …, 2023 - dl.begellhouse.com
ChatGPT is a large language model recently released by the OpenAI company. In this
technical report, we explore for the first time the capability of ChatGPT for programming …

Investigation of hydrodynamics of water impact and tail slamming of high-speed water entry with a novel immersed boundary method

WT Liu, AM Zhang, XH Miao, FR Ming… - Journal of Fluid …, 2023 - cambridge.org
High-speed water entry is a transient hydrodynamic process that is accompanied by strongly
compressible flow, free surface splash, cavity evolution and other nonlinear hydrodynamic …

Numerical models of surface tension

S Popinet - Annual Review of Fluid Mechanics, 2018 - annualreviews.org
Numerical models of surface tension play an increasingly important role in our capacity to
understand and predict a wide range of multiphase flow problems. The accuracy and …

Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy

DS Balsara, CW Shu - Journal of Computational Physics, 2000 - Elsevier
In this paper we design a class of numerical schemes that are higher-order extensions of the
weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) …

Level set methods for fluid interfaces

JA Sethian, P Smereka - Annual review of fluid mechanics, 2003 - annualreviews.org
▪ 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 …