Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A partitioned scheme for adjoint shape sensitivity analysis of
  fluid-structure interactions involving non-matching meshes   This work presents a partitioned solution procedure to compute shape
gradients in fluid-structure interaction (FSI) using black-box adjoint solvers.
Special attention is paid to project the gradients onto the undeformed
configuration. This is due to the mixed Lagrangian-Eulerian formulation of
large-displacement FSI in this work. Adjoint FSI problem is partitioned as an
assembly of well-known adjoint fluid and structural problems, without requiring
expensive cross-derivatives. The sub-adjoint problems are coupled with each
other by augmenting the target functions with auxiliary functions, independent
of the concrete choice of the underlying adjoint formulations. The auxiliary
functions are linear force-based or displacement-based functionals which are
readily available in well-established single-disciplinary adjoint solvers.
Adjoint structural displacements, adjoint fluid displacements, and domain-based
adjoint sensitivities of the fluid are the coupling fields to be exchanged
between the adjoint solvers. A reduced formulation is also derived for the case
of boundary-based adjoint shape sensitivity analysis for fluids. Numerical
studies show that the complete formulation computes accurate shape gradients
whereas inaccuracies appear in the reduced gradients, specially in regions of
strong flow gradients and near singularities. Nevertheless, reduced gradient
formulations are found to be a compromise between computational costs and
accuracy. Mapping techniques including nearest element interpolation and the
mortar method are studied in computational adjoint FSI. It is numerically shown
that the mortar method does not introduce spurious oscillations in primal and
sensitivity fields along non-matching interfaces, unlike the nearest element
interpolation.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: bayes-an