Document Zbl 07507230

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Comput. Phys.</a> <a href="/?q=in%3A480069" title="Articles in this Issue">419, Article ID 109669, 14 p. (2020)</a>. </div> <div class="abstract">Summary: This paper is concerned with the boundary treatment of the lattice Boltzmann method (LBM) with general propagation for the incompressible Navier-Stokes equations. Since the propagation step involves three grid points, constructing effective boundary schemes for such method is highly nontrivial. To address this problem, we first construct an auxiliary boundary scheme under the diffusive scaling by using the Maxwell iteration. Based on this scheme and the interpolations of both distribution functions and fluid velocities, we propose a parameterized boundary scheme for the LBM with general propagation. The scheme thus obtained not only has second-order accuracy under the diffusive scaling for curved boundaries but also possesses good stability. Several specific schemes are also provided and their accuracy and stability are verified via four flow problems with both straight and curved boundaries. It should be noted that the proposed boundary scheme can also be used for the standard LBM.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A76-XX" title="MSC2020">76-XX</a> </td> <td class="space"> Fluid mechanics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A65-XX" title="MSC2020">65-XX</a> </td> <td class="space"> Numerical analysis </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Alattice+Boltzmann+method">lattice Boltzmann method</a>; <a href="/?q=ut%3Ageneral+propagation">general propagation</a>; <a href="/?q=ut%3Aboundary+schemes">boundary schemes</a>; <a href="/?q=ut%3Asecond-order+accuracy">second-order accuracy</a>; <a href="/?q=ut%3AMaxwell+iteration">Maxwell iteration</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07507230" data-ciurl="/ci/07507230" data-biburl="/bibtex/07507230.bib" data-amsurl="/amsrefs/07507230.bib" data-xmlurl="/xml/07507230.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07507230.pdf" title="Zbl 07507230 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcp.2020.109669" aria-label="DOI for “Second-order boundary schemes for the lattice Boltzmann method with general propagation”" title="10.1016/j.jcp.2020.109669">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Aidun, C. 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