Jason Frank, Sebastian Reich  Home/Search
Context Related
| homepages.cwi.nl/~jas...FrReBIT03.ps.gz Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: homepages.cwi.nl/~...Publications (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: Kelvin's circulation theorem and its implications for potential vorticity (PV) conservation are among the most fundamental concepts in ideal fluid dynamics. In this note, we discuss the numerical treatment of these concepts with the Smoothed Particle Hydrodynamics (SPH) and related methods. We show that SPH satisfies an exact circulation theorem in an interpolated velocity field, and that, when appropriately interpreted, this leads to statements of conservation of PV and generalized... (Update)
Cited by: More
The Hamiltonian Particle-Mesh Method for the Spherical Shallow .. - Frank, Reich (Correct)
A Hamiltonian Particle-Mesh Method for the Rotating.. - Frank, Gottwald, Reich (2002) (Correct)
Hamiltonian Particle-Mesh Method For Two-Layer.. - Cotter, Frank, Reich (2003) (Correct)
Similar documents (at the sentence level):
10.9%: Conservation Properties of Smoothed Particle Hydrodynamics.. - Frank, Reich (2001) (Correct)
Active bibliography (related documents): More All
0.5: Invariants and Labels in Lie--Poisson Systems - Jean-Luc Thiffeault And (Correct)
0.3: Applications of radial basis functions.. - Buhmann, Iserles.. (2001) (Correct)
0.1: Consistency Analysis of Mesh-Free Methods for Conservation Laws - Junk, Struckmeier (2000) (Correct)
System load high. Please wait...
Timeout. Please try your query later.
Related documents from co-citation: More All
2: Mathematical Methods for Classical Mechanics (context) - Arnold - 1978
2: Computer Simulation Using Particles (context) - Hockney, Eastwood - 1988
BibTeX entry: (Update)
J. Frank and S. Reich. Conservation properties of smoothed particle hydrodynamics applied to the shallow-water equations. BIT, 43:40-54, 2003. http://citeseer.ist.psu.edu/frank03conservation.html More
@misc{ frank03conservation,
author = "J. Frank and S. Reich",
title = "Conservation properties of smoothed particle hydrodynamics applied to the
shallow-water equations",
text = "J. Frank and S. Reich. Conservation properties of smoothed particle hydrodynamics
applied to the shallow-water equations. BIT, 43:40-54, 2003.",
year = "2003",
url = "citeseer.ist.psu.edu/frank03conservation.html" }
Citations (may not include all citations):306 Computer Simulation of Liquids (context) - Allen, Tildesley - 1987
63 A Mathematical Introduction to Fluid Mechanics (context) - Chorin, Marsden - 1993
52 Numerical Hamiltonian Problems (context) - Sanz-Serna, Calvo - 1994
43 the Hamiltonian interpolation of near to the identity symple.. (context) - Benettin, Giorgilli - 1994
39 Smoothed particle hydrodynamics (context) - Monaghan - 1992
23 Radial basis functions (context) - Buhmann - 2000
14 Lectures on Geophysical Fluid Dynamics (context) - Salmon - 1999
6 A new class of particle methods (context) - Yserentant - 1997
3 A particle-mesh method for the shallow water equations near .. - Frank, Reich
3 the problem of penetration in particle methods (context) - Monaghan - 1989
2 Hamiltonian description of the ideal fluid (context) - Morrison - 1998
1 Meshfree Methods for Partial Di#erential Equations (context) - Frank, Gottwald et al. - 2002
1 Variational and momentum preservation aspects of smooth part.. (context) - Bonet, Lok - 1999
1 SPH and the alpha turbulence model (context) - Monaghan - 2001
Documents on the same site (http://homepages.cwi.nl/~jason/Publications.html): More
Parallel Domain Decomposition with Incomplete Subdomain.. - Frank, Segal, Vuik (1996) (Correct)
Stability of Implicit-Explicit Linear Multistep Methods - Frank, Hundsdorfer, Verwer (1996) (Correct)
Stability of Implicit-Explicit Linear Multistep Methods - Frank, Hundsdorfer, Verwer (1996) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC