Abstracts

Capture article abstracts in an <abstract> element.

See the following sections for instructions for the relevant abstract type.

Example

<abstract abstract-type="standard">
  <title>Abstract</title>
  <p>We utilize the lattice Boltzmann method to conduct three-dimensional simulations of
incompressible flows in oscillating cubic lid-driven cavities. Our investigation
focuses on examining the impact of Reynolds number and oscillating frequency on the
flow field. Notably, we observe that the flow field can be adequately approximated as
two-dimensional within the low and intermediate Reynolds number range, but this
approximation is no longer valid for high Reynolds numbers. Additionally, we find that
high Reynolds numbers correspond to transient flow fields, while low and moderate
Reynolds numbers exhibit quasi-steady periodic flow fields. Our study holds
significant relevance for industrial processing applications, where the Reynolds
numbers and oscillating frequencies can be optimized to achieve a desired flow
field.</p>
</abstract>