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<meta content="Hunter, J.A." name="eprints.creators_name" />
<meta content="Craig, P.D." name="eprints.creators_name" />
<meta content="Phillips, Helen E." name="eprints.creators_name" />
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eddy
random walk
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<meta content="The random walk technique is commonly used to model diffusion in
the environment. For a constant diffusivity K and model time-step dt.
the random step should be chosen from a distribution with variance
2Kdt. However, if K varies spatially, this choice of step leads to the
accumulation of particles in regions of low diffusivity. This problem
may be overcome either by the incorporation of an apparent advection
velocity, or by transforming to a coordinate system in which the
diffusivity is constant. The latter technique requires no immediate
approximations, is applicable to any reasonable diffusivity field and is
therefore the preferred approach. In this case, as with constant K, the
random step should be chosen from a normal distribution, for reasons
of both theoretical accuracy and computational efficiency. Three
important aspects of model design are discussed: the selection of the
random number generator, the time step and the total number of
particles." name="eprints.abstract" />
<meta content="1993-06" name="eprints.date" />
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<meta content="Hunter, J.A. and Craig, P.D. and Phillips, Helen E. (1993) On the use of random walk models with spatially variable diffusivity. Journal of Computational Physics, 106 (2). pp. 366-376. ISSN 0021-9991" name="eprints.citation" />
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<meta content="Hunter, J.A." name="DC.creator" />
<meta content="Craig, P.D." name="DC.creator" />
<meta content="Phillips, Helen E." name="DC.creator" />
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<meta content="The random walk technique is commonly used to model diffusion in
the environment. For a constant diffusivity K and model time-step dt.
the random step should be chosen from a distribution with variance
2Kdt. However, if K varies spatially, this choice of step leads to the
accumulation of particles in regions of low diffusivity. This problem
may be overcome either by the incorporation of an apparent advection
velocity, or by transforming to a coordinate system in which the
diffusivity is constant. The latter technique requires no immediate
approximations, is applicable to any reasonable diffusivity field and is
therefore the preferred approach. In this case, as with constant K, the
random step should be chosen from a normal distribution, for reasons
of both theoretical accuracy and computational efficiency. Three
important aspects of model design are discussed: the selection of the
random number generator, the time step and the total number of
particles." name="DC.description" />
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<h1 class="ep_tm_pagetitle">On the use of random walk models with spatially variable diffusivity</h1>
<p style="margin-bottom: 1em" class="not_ep_block"><span class="person_name">Hunter, J.A.</span> and <span class="person_name">Craig, P.D.</span> and <span class="person_name">Phillips, Helen E.</span> (1993) <xhtml:em>On the use of random walk models with spatially variable diffusivity.</xhtml:em> Journal of Computational Physics, 106 (2). pp. 366-376. ISSN 0021-9991</p><p style="margin-bottom: 1em" class="not_ep_block"></p><table style="margin-bottom: 1em" class="not_ep_block"><tr><td valign="top" style="text-align:center"><a href="http://eprints.utas.edu.au/815/1/hunter1993jcp.pdf"><img alt="[img]" src="http://eprints.utas.edu.au/style/images/fileicons/application_pdf.png" border="0" class="ep_doc_icon" /></a></td><td valign="top"><a href="http://eprints.utas.edu.au/815/1/hunter1993jcp.pdf"><span class="ep_document_citation">PDF</span></a> - Full text restricted - Requires a PDF viewer<br />1059Kb</td><td><form method="get" accept-charset="utf-8" action="http://eprints.utas.edu.au/cgi/request_doc"><input value="817" name="docid" accept-charset="utf-8" type="hidden" /><div class=""><input value="Request a copy" name="_action_null" class="ep_form_action_button" onclick="return EPJS_button_pushed( '_action_null' )" type="submit" /> </div></form></td></tr></table><p style="margin-bottom: 1em" class="not_ep_block">Official URL: <a href="http://dx.doi.org/10.1016/S0021-9991(83)71114-9">http://dx.doi.org/10.1016/S0021-9991(83)71114-9</a></p><div class="not_ep_block"><h2>Abstract</h2><p style="padding-bottom: 16px; text-align: left; margin: 1em auto 0em auto">The random walk technique is commonly used to model diffusion in
the environment. For a constant diffusivity K and model time-step dt.
the random step should be chosen from a distribution with variance
2Kdt. However, if K varies spatially, this choice of step leads to the
accumulation of particles in regions of low diffusivity. This problem
may be overcome either by the incorporation of an apparent advection
velocity, or by transforming to a coordinate system in which the
diffusivity is constant. The latter technique requires no immediate
approximations, is applicable to any reasonable diffusivity field and is
therefore the preferred approach. In this case, as with constant K, the
random step should be chosen from a normal distribution, for reasons
of both theoretical accuracy and computational efficiency. Three
important aspects of model design are discussed: the selection of the
random number generator, the time step and the total number of
particles.</p></div><table style="margin-bottom: 1em" border="0" cellpadding="3" class="not_ep_block"><tr><th valign="top" class="ep_row">Item Type:</th><td valign="top" class="ep_row">Article</td></tr><tr><th valign="top" class="ep_row">Additional Information:</th><td valign="top" class="ep_row">http://www.elsevier.com/wps/find/homepage.cws_home</td></tr><tr><th valign="top" class="ep_row">Keywords:</th><td valign="top" class="ep_row">diffusivity
eddy
random walk
</td></tr><tr><th valign="top" class="ep_row">Subjects:</th><td valign="top" class="ep_row"><a href="http://eprints.utas.edu.au/view/subjects/260403.html">260000 Earth Sciences > 260400 Oceanography > 260403 Physical Oceanography</a><br /><a href="http://eprints.utas.edu.au/view/subjects/230116.html">230000 Mathematical Sciences > 230100 Mathematics > 230116 Numerical Analysis</a></td></tr><tr><th valign="top" class="ep_row">Collections:</th><td valign="top" class="ep_row">UNSPECIFIED</td></tr><tr><th valign="top" class="ep_row">ID Code:</th><td valign="top" class="ep_row">815</td></tr><tr><th valign="top" class="ep_row">Deposited By:</th><td valign="top" class="ep_row"><span class="ep_name_citation"><span class="person_name">Dr Helen E Phillips</span></span></td></tr><tr><th valign="top" class="ep_row">Deposited On:</th><td valign="top" class="ep_row">07 Mar 2007</td></tr><tr><th valign="top" class="ep_row">Last Modified:</th><td valign="top" class="ep_row">07 Feb 2008 12:24</td></tr><tr><th valign="top" class="ep_row">ePrint Statistics:</th><td valign="top" class="ep_row"><a target="ePrintStats" href="/es/index.php?action=show_detail_eprint;id=815;">View statistics for this ePrint</a></td></tr></table><p align="right">Repository Staff Only: <a href="http://eprints.utas.edu.au/cgi/users/home?screen=EPrint::View&eprintid=815">item control page</a></p>
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