Preprint of "Convergence of Convective-Diffusive Lattice Boltzmann Methods"

From: Bracy H. Elton (elton@news.fai.com)
Date: Fri May 28 1993 - 22:09:14 UTC


Preprints of the following paper are available via ftp and e-mail, and
surface mail.  Directions on how to obtain a copy follow the
title/abstract.

Cheers,

Bracy

--
Bracy H. Elton, Ph.D.           | E-mail:  elton@fai.com
Senior Research Scientist       |       or na.elton@na-net.ornl.gov
Computational Research Division |
Fujitsu America, Inc.           |  Phone:  (408) 456-7749
3055 Orchard Drive              | 
San Jose, CA  95134-2022  USA   |    FAX:  (408) 456-7071


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Paper: comp-gas/9305002
From: elton@fai.com (Bracy H. Elton)
Date: Tue, 25 May 93 15:18:51 PDT

Title: Convergence of Convective-Diffusive Lattice Boltzmann Methods
Author: Bracy H. Elton (Fujitsu America, Inc.), Garry H. Rodrigue
  (Lawrence Livermore National Laboratory and University of California, Davis),
  and C. David Levermore (University of Arizona)
Comments: 39 pages; LaTeX and PsFig;
  400kb uuencoded/compressed/tarred PostScript figures;
  submitted to the SIAM Journal on Numerical Analysis.
  AMS(MOS) subject classifications 35F25, 65M06, 65M12, 76R99, 82C40.
Report-no: Lawrence Livermore National Laboratory #UCRL-JC-113509

Abstract:
  Lattice Boltzmann methods are numerical schemes derived as a kinetic
approximation of an underlying lattice gas.  A numerical convergence theory 
for nonlinear convective-diffusive lattice Boltzmann methods is established. 
Convergence, consistency, and stability are defined through truncated Hilbert 
expansions.  In this setting it is shown that consistency and stability imply
convergence.  Monotone lattice Boltzmann methods are defined and shown to be
stable, hence convergent when consistent.  Examples of diffusive and 
convective-diffusive lattice Boltzmann methods that are both consistent and 
monotone are presented.
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HOW TO OBTAIN PREPRINTS:
-----------------------


o VIA E-mail:
  ----------

To get a copy (of the LaTeX and PostScript figures) via e-mail, send
the following message:

	To: comp-gas@xyz.lanl.gov
	Subject: get 9305002
	^D

Note that message is empty - use only the Subject field!

The paper will arrive in 7 parts (2 parts for the LaTeX document and 5
for the uuencoded/compressed/tarred PostScript figures, and you will
need LaTeX, PsFig, and dvips or dvi2ps to process it.

[To find out more about the "comp-gas" Preprint Bulletin Board service
(there are also others) send "get announce" as the "Subject" to
"comp-gas@xyz.lanl.gov".]


o Via FTP:
  -------

ftp to xyz.lanl.gov with username "anonymous" and your e-mail address
as your password.  Then
	ftp> cd nlin-sys/comp-gas/papers/9305
	ftp> get 9305002.1
	ftp> get 9305002.2

"9305002.1" is the LaTeX version of the document.  "9305002.2" are the
PostScript figures (400KB) uuencoded/compressed/tarred.  Follow the
directions in 9305002.1 to put it together.  You could also ftp the
abstract; it is called "9305002.abs".


o Via Surface Mail:
  ----------------

Send your request (identify the paper by its title, please), name, and
address via e-mail to "preprint-request@scg.fai.com".


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