Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A strongly-coupled immersed-boundary formulation for thin deforming
  surfaces, with application to elastic beams   We present a strongly-coupled immersed-boundary method for flow-structure
interaction problems involving thin deforming bodies. The method is stable for
arbitrary choices of solid-to-fluid mass ratios and for large body motions. As
with many strongly-coupled immersed-boundary methods, our method requires the
solution of a nonlinear algebraic system at each time step. The system is
solved through iteration, where the iterates are obtained by linearizing the
system and performing a block LU factorization. This restricts all iterations
to small-dimensional subsystems that scale with the number of discretization
points on the immersed surface, rather than on the entire flow domain.
Moreover, the iteration procedure we propose does not involve heuristic
regularization parameters, and has converged in a small number of iterations
for all problems we have considered. We derive our method for general deforming
surfaces, and verify the method with two-dimensional test problems of
geometrically nonlinear beams undergoing large amplitude flapping behavior.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math