Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A reduced unified continuum formulation for vascular fluid-structure
  interaction   We recently derived the unified continuum and variational multiscale
formulation for fluid-structure interaction (FSI) using the Gibbs free energy.
Restricting our attention to vascular FSI, we now reduce this arbitrary
Lagrangian-Eulerian (ALE) formulation by adopting three assumptions for the
vascular wall. The resulting reduced unified continuum formulation achieves
monolithic FSI coupling in the Eulerian frame through a simple modification of
the fluid boundary integral. While ostensibly similar to the semi-discrete
formulation of the coupled momentum method, its underlying derivation does not
rely on an assumption of a fictitious body force in the elastodynamics
sub-problem and therefore represents a direct simplification of the ALE method.
Uniform temporal discretization is performed via the generalized-$\alpha$
scheme. In contrast to the predominant approach yielding only first-order
accuracy for pressure, we collocate both pressure and velocity at the
intermediate time step to achieve uniform second-order temporal accuracy. In
conjunction with quadratic tetrahedral elements, our methodology offers
higher-order temporal and spatial accuracy for quantities of clinical interest.
Furthermore, without loss of consistency, a segregated predictor
multi-corrector algorithm is developed to preserve the same block structure as
for the incompressible Navier-Stokes equations in the implicit solver's
associated linear system. Block preconditioning of a monolithically coupled FSI
system is therefore made possible for the first time. Compared to alternative
preconditioners, our three-level nested block preconditioner, which improves
representation of the Schur complement, demonstrates robust performance over a
wide range of physical parameters. We present verification against Womersley's
deformable wall theory and additionally develop practical modeling techniques
for clinical applications.

21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int