Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical simulations of the mutual effect among the superconducting
  constituents in a levitation system with translational symmetry   By the introduction of a generalized magnetic vector potential, which
contains the contributions of both the magnetic and electric parts, and the use
of the Ampere's law within the quasistatic approximation as the state equation,
the partial differential equations for governing the electromagnetic properties
of superconductors as well as the surrounding coolant were established and
numerically discretized by resorting to the finite-element technique and
finite-difference scheme, respectively, in the spatial and temporal domain. In
conjunction with an analytic method to calculate the magnetic field generated
by permanent magnet, we compiled a numerical tool for performing an intricate
study of the mutual effect among the superconducting constituents in a
superconducting levitation system with translational symmetry. Taking a
superconducting unit with three constituents inside as a practice, we simulated
the electromagnetic responses of this unit while moving in the nonuniform
magnetic field generated by permanent magnet guideway and, identified the
influences of the mutual effect on the levitation force as well as on the
distributions of the magnetic flux density, the supercurrent density, and the
levitation force density by comparing to an envisaged reference, one
constituent was simulated with all the rest absent to remove the mutual effect.
The insights attained by the present study, mostly being inaccessible from the
experiments, are aimed to provide useful implications for the design of a
superconducting levitation system for the transit and analogous purposes, which
usually employ multiple superconductors to achieve the desired capability.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
2
The categories of this paper are: math