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Truncation Error Analysis Lattice Boltzmann Methods

Europhys. This page uses JavaScript to progressively load the article content as a user scrolls. All rights reserved.About us · Contact us · Careers · Developers · News · Help Center · Privacy · Terms · Copyright | Advertising · Recruiting We use cookies to give you the best possible experience on ResearchGate. ISSN: 0271-2091, 1097-0363 DOIs: http://dx.doi.org/10.1002/fld.1364 Handle: http://hdl.handle.net/2027.42/55942 Show full item record View/Open Name: 1364_ftp.pdf Size: 217KB Format: PDF This item appears in the following Collection(s) Interdisciplinary and Peer-Reviewed Search Deep Blue navigate here

ScienceDirect ® is a registered trademark of Elsevier B.V.RELX Group Recommended articles No articles found. A Taylor series analysis is performed on the discrete Boltzmann model in order to assess the consistency. Oxford University Press, New York (2001) MATHGoogle Scholar8. Phys. useful source

View full text Journal of Computational PhysicsVolume 193, Issue 2, 20 January 2004, Pages 595–619 Truncation error analysis of lattice Boltzmann methodsDavid J Holdycha, b, David R Noblec, , J Sci Comput (2011) 49: 195. Copyright © 2006 John Wiley & Sons, Ltd. Phys.

  • Succi, S.: Numerical solution of the Schrödinger equation using Discrete Kinetic Theory.
  • It was assessed though several test cases.Do you want to read the rest of this article?Request full-text CitationsCitations0ReferencesReferences30Kinetic model solution for axisymmetric flow by the method of discrete ordinates[Show abstract] [Hide
  • A 277, 212–218 (2002) CrossRefGoogle ScholarCopyright information© Springer Science+Business Media, LLC 2011Authors and AffiliationsLina Ye1Guangwu Yan1Email authorTingting Li11.College of MathematicsJilin UniversityChangchunP.R.
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  • This book provides a comprehensive summary of these changes describing fluid flow in micro and nano configurations.
  • The associated truncation errors are derived and the results are validated by numerical simulation of analytic flows.
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  • Ginzburg, I.: Variably saturated flow described with the anisotropic lattice Boltzmann methods.
  • The existence of a shear-induced transition from a tumbling to a tank-treading motion is demonstrated.
  • Capuani, F., Pagonabarraga, I., Frenkel, D.: Discrete solution of the electrokinetic equations.

Yan, G.W., Yuan, L.: Lattice Bhatnagar-Gross-Krook model for the Lorenz attractor. Error assessment of lattice Boltzmann equation method for variable viscosity flows Login Home → Research Collections → Interdisciplinary and Peer-Reviewed → View Item JavaScript is disabled for your browser. Analysis of the truncation errors elucidates the roles of the kinetic theory relaxation parameter, τ, and the discretization parameters, Δx and Δt. Timm Reply Quote Timm Re: Error analysis September 05, 2008 02:14PM Registered: 8 years ago Posts: 464 Also for this topic there is an exhaustive paper: Holdych, Noble, Georgiadis, Buckius: "Truncation

Nonlinear Sci. Comput. Yepez, J.: Quantum lattice-gas model for the Burgers equation. imp source Phys.

A new axis boundary condition was created to improve the model accuracy and to cope with the spurious error term. Please register to: Save publications, articles and searchesGet email alertsGet all the benefits mentioned below! Lett. 9, 663–668 (1989) CrossRefGoogle Scholar3. Phys. 193 (2004) 595-619) Reply Quote Newer Topic Older Topic Print View RSS Sorry, only registered users may post in this forum.

Reply Quote Timm Re: Error analysis September 02, 2008 11:25AM Registered: 8 years ago Posts: 464 Orestis, you are absolutely right about your last comments. https://deepblue.lib.umich.edu/handle/2027.42/55942 Did you know your Organization can subscribe to the ACM Digital Library? Microflows: Fundamentals and Simulation has a lot to offer and is certainly recommended as a good place to start for MEMS students interested in flow physics." Preview this book » What Fluids 25, 831–848 (2006) CrossRefGoogle Scholar20.

Appl. 56, 1465–1472 (2008) MathSciNetMATHCrossRefGoogle Scholar35. http://u2commerce.com/truncation-error/truncation-error-methods.html Rev. Please enable JavaScript to use all the features on this page. Commun. 169, 203–206 (2005) MATHCrossRefGoogle Scholar21.

Noble Sandia National Laboratories, Albuquerque, NM John G. J. All rights reserved. http://u2commerce.com/truncation-error/truncation-error-analysis.html Eng. 44, 45–52 (2001) CrossRefGoogle Scholar23.

Hirt, C.W.: Heuristic stability theory for finite-difference equations. Eng. 195, 3430–3447 (2006) MATHCrossRefGoogle Scholar36. Where as in their previous book entitled Microflows: Fundamentals and Simulation the authors covered scales from one hundred nanometers to microns (and beyond), in this new book they discuss length scales

Methods Appl.

Therefore T* = alpha * (4*N) * (2*nx) * (2*ny) * (2*nz) = 32*alpha*N*nx*ny*nz = 32*T. Wang, J., Liu, R.X.: A new approach to design high-order schemes. Appl. E 53, 1996 (1969/1975) Google Scholar10.

Fan, E.G.: Extended tanh-function method and its applications to nonlinear equations. Phys. Tel.: +1-505-844-2274; fax: +1-505-844-8251Copyright © 2003 Elsevier B.V. http://u2commerce.com/truncation-error/truncation-error-in-numerical-analysis.html Terms of Usage Privacy Policy Code of Ethics Contact Us Useful downloads: Adobe Reader QuickTime Windows Media Player Real Player Did you know the ACM DL App is

The ACM Guide to Computing Literature All Tags Export Formats Save to Binder International Journal for Numerical Methods in FluidsVolume 53, Issue 9, Version of Record online: 22 SEP rgreq-3ed62dcf976366e2a0cdcc7263ac53d6 false ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: Connection to failed. JSME Int. Benzi, R., Succi, S., Vergassola, M.: The lattice Boltzmann equations: theory and applications.

J. Some features of this site may not work without it. I think that a general answer to this question is not possible, but maybe someone could give me some useful links to a paper or a thesis covering this question. Phys. 121, 973–986 (2004) CrossRefGoogle Scholar22.

Centrifugal forces are accounted for by applying the method of discrete ordinates. Fluids 28, 37–45 (1985) MATHCrossRefGoogle Scholar34.