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Stochastic Eulerian Lagrangian method
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<h2 id="see-also">See also</h2> <ul><li><a href="/facts/Immersed_boundary_method/U60MK5sB">Immersed boundary method</a></li> <li><a href="/facts/Stokesian_dynamics/9njtdUxW">Stokesian dynamics</a></li> <li><a href="/facts/Volume_of_fluid_method/yVmKotxe">Volume of fluid method</a></li> <li><a href="/facts/Level-set_method/jTDtmENI">Level-set method</a></li> <li><a href="/facts/Marker-and-cell_method/CeQzbzjc">Marker-and-cell method</a></li></ul> <ol><li>Atzberger, P.J.; Kramer, P.R.; Peskin, C.S. (2007). "A Stochastic Immersed Boundary Method for Fluid-Structure Dynamics at Microscopic Length Scales". <i>Journal of Computational Physics</i>. 224 (2): 1255–92. <a href="/facts/ArXiv_(identifier)/H6EtgnBe">arXiv</a>:<a href="https://arxiv.org/abs/0910.5748">0910.5748</a>. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/2007JCoPh.224.1255A">2007JCoPh.224.1255A</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1016%2Fj.jcp.2006.11.015">10.1016/j.jcp.2006.11.015</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:17977915">17977915</a>.</li> <li>Peskin, C.S. (2002). <a href="https://doi.org/10.1017%2FS0962492902000077">"The immersed boundary method"</a>. <i>Acta Numerica</i>. 11: 479–517. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1017%2FS0962492902000077">10.1017/S0962492902000077</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:53517954">53517954</a>.</li></ol> <h2 id="software-numerical-codes-and-simulation-packages">Software : Numerical Codes and Simulation Packages</h2> <ul><li><a href="http://mango-selm.org/">Mango-Selm : Stochastic Eulerian Lagrangian and Immersed Boundary Methods, 3D Simulation Package, (Python interface, LAMMPS MD Integration), P. Atzberger, UCSB</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Atzberger, Paul (2011). "Stochastic Eulerian Lagrangian Methods for Fluid Structure Interactions with Thermal Fluctuations". Journal of Computational Physics. 230 (8): 2821–2837. arXiv:1009.5648. Bibcode:2011JCoPh.230.2821A. doi:10.1016/j.jcp.2010.12.028. S2CID 6067032. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Atzberger, Paul (2011). "Stochastic Eulerian Lagrangian Methods for Fluid Structure Interactions with Thermal Fluctuations". Journal of Computational Physics. 230 (8): 2821–2837. arXiv:1009.5648. Bibcode:2011JCoPh.230.2821A. doi:10.1016/j.jcp.2010.12.028. S2CID 6067032. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Atzberger, Paul (2011). "Stochastic Eulerian Lagrangian Methods for Fluid Structure Interactions with Thermal Fluctuations". Journal of Computational Physics. 230 (8): 2821–2837. arXiv:1009.5648. Bibcode:2011JCoPh.230.2821A. doi:10.1016/j.jcp.2010.12.028. S2CID 6067032. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Atzberger, Paul (2013), "Incorporating Shear into Stochastic Eulerian Lagrangian Methods for Rheological Studies of Complex Fluids and Soft Materials", Physica D, 265: 57–70, arXiv:2212.10651, Bibcode:2013PhyD..265...57A, doi:10.1016/j.physd.2013.09.002 <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>Rower, David A.; Padidar, Misha; Atzberger, Paul J. (April 2022). "Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces". Journal of Computational Physics. 455: 110994. arXiv:1906.01146. Bibcode:2022JCoPh.45510994R. doi:10.1016/j.jcp.2022.110994. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>Atzberger, Paul (2016). "Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes". Soft Matter. 12 (32): 6685–6707. arXiv:1601.06461. Bibcode:2016SMat...12.6685S. doi:10.1039/C6SM00194G. PMID 27373277. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Atzberger, Paul J. (2011). "Stochastic Eulerian Lagrangian Methods for Fluid Structure Interactions with Thermal Fluctuations". Journal of Computational Physics. 230 (8): 2821–2837. arXiv:1009.5648. Bibcode:2011JCoPh.230.2821A. doi:10.1016/j.jcp.2010.12.028. S2CID 6067032. <a href="/wiki/ArXiv_(identifier)" target="_blank">/wiki/ArXiv_(identifier)</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>Wang, Y.; Lei, H.; Atzberger, P. J. (January 2018). "Fluctuating hydrodynamic methods for fluid-structure interactions in confined channel geometries". Applied Mathematics and Mechanics. 39 (1): 125–152. doi:10.1007/s10483-018-2253-8. <a href="https://escholarship.org/uc/item/7hk795cd" target="_blank">https://escholarship.org/uc/item/7hk795cd</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> <li id="fn:9"><p>Wang, Y.; Sigurdsson, J. K.; Atzberger, P. J. (January 2016). "Fluctuating Hydrodynamics Methods for Dynamic Coarse-Grained Implicit-Solvent Simulations in LAMMPS". SIAM Journal on Scientific Computing. 38 (5): S62 – S77. Bibcode:2016SJSC...38S..62W. doi:10.1137/15M1026390. <a href="https://escholarship.org/uc/item/395432h3" target="_blank">https://escholarship.org/uc/item/395432h3</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li> </ol>