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Citation bot (talk | contribs) Alter: pages, template type. Add: pmid, issue, pages. Formatted dashes. | Use this bot. Report bugs. | Suggested by Abductive | Category:Numerical differential equations | #UCB_Category 3/167 |
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{{Citation
| last1=Atzberger
| first1=Paul
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| journal=Physica D
| volume=265
| pages=
| year=2013
| doi=10.1016/j.physd.2013.09.002
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</ref> methods for simulating flows over complicated immersed solid bodies on grids that do not conform to the surface of the body Mittal and Iaccarino,<ref>{{harvnb|Mittal|Iaccarino|2005}}.</ref> and other approaches that incorporate mass and rotational degrees of freedom Olson, Lim, Cortez.<ref>{{Cite journal |last1=Olson |first1=S.
|last2=Lim |first2=S. |last3=Cortez |first3=R.
|title=Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a regularized Stokes formulation |journal=Journal of Computational Physics |date=2013 |volume=238 |pages=169–187
|doi=10.1016/j.jcp.2012.12.026}}</ref> Methods for complicated body shapes include the immersed interface method, the Cartesian grid method, the ghost fluid method and the cut-cell methods categorizing immersed boundary methods into ''continuous forcing'' and ''discrete forcing'' methods. Methods have been developed for simulations of viscoelastic fluids, curved fluid interfaces, microscopic biophysical systems (proteins in lipid bilayer membranes, swimmers), and engineered devices, such as the Stochastic Immersed Boundary Methods of Atzberger, Kramer, and Peskin,<ref> {{Cite journal
| last = Atzberger
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{{Citation
| last1=Atzberger
| first1=Paul
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| journal=Physica D
| volume=265
| pages=
| year=2013
| doi=10.1016/j.physd.2013.09.002
| arxiv = 2212.10651
}}
</ref><ref>{{cite journal |last1=Atzberger |first1=Paul |title=Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes |journal=Soft Matter
</ref> Massed Immersed Boundary Methods of
{{Cite journal
| last1 =
| first1 = Yoichiro
| last2 = Peskin
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</ref> and Rotational Immersed Boundary Methods of Olson, Lim, Cortez.<ref>{{Cite journal |last1=Olson |first1=S.
|last2=Lim |first2=S. |last3=Cortez |first3=R.
|title=Modeling the dynamics of an elastic rod with intrinsic curvature and twist using a regularized Stokes formulation |journal=Journal of Computational Physics |date=2013 |volume=238 |pages=169–187
|doi=10.1016/j.jcp.2012.12.026}}</ref> In general, for immersed boundary methods and related variants, there is an active research community that is still developing new techniques and related software implementations and incorporating related techniques into simulation packages and CAD engineering software. For more details see below.
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| journal=Physica D
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| doi=10.1016/j.physd.2013.09.002
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| doi = 10.4271/2007-01-0109
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* {{Cite journal |last1=Atzberger |first1=Paul |title=Hydrodynamic Coupling of Particle Inclusions Embedded in Curved Lipid Bilayer Membranes |journal=Soft Matter
*{{Cite journal
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*{{Cite journal
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