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Benchmarking the Immersed Boundary Method for Viscoelastic Flows.
Gruninger, Cole; Barrett, Aaron; Fang, Fuhui; Forest, M Gregory; Griffith, Boyce E.
Afiliación
  • Gruninger C; Department of Mathematics, University North Carolina, Chapel Hill, NC, USA.
  • Barrett A; Department of Mathematics, University of Utah, Salt Lake City, UT, USA.
  • Fang F; Department of Mathematics, University North Carolina, Chapel Hill, NC, USA.
  • Forest MG; Department of Mathematics, University North Carolina, Chapel Hill, NC, USA.
  • Griffith BE; Department of Applied Physical Sciences, University of North Carolina, Chapel Hill, NC, USA.
J Comput Phys ; 5062024 Jun 01.
Article en En | MEDLINE | ID: mdl-38737497
ABSTRACT
We present and analyze a series of benchmark tests regarding the application of the immersed boundary (IB) method to viscoelastic flows through and around non-trivial, stationary geometries. The IB method is widely used to simulate biological fluid dynamics and other modeling scenarios in which a structure is immersed in a fluid. Although the IB method has been most commonly used to model systems involving viscous incompressible fluids, it also can be applied to visoelastic fluids, and has enabled the study of a wide variety of dynamical problems including the settling of vesicles and the swimming of elastic filaments in fluids modeled by the Oldroyd-B constitutive equation. In the viscoelastic context, however, relatively little work has explored the accuracy or convergence properties of this numerical scheme. Herein, we present benchmarking results for an IB solver applied to viscoelastic flows in and around non-trivial geometries using either the idealized Oldroyd-B constitutive model or the more physcially realistic, polymer-entanglementbased Rolie-Poly constitutive equations. We use two-dimensional numerical test cases along with results from rheology experiments to benchmark the IB method and compare it to more complex finite element and finite volume viscoelastic flow solvers. Additionally, we analyze different choices of regularized delta function and relative Lagrangian grid spacings which allow us to identify and recommend the key choices of these numerical parameters depending on the present flow regime.

Texto completo: 1 Banco de datos: MEDLINE Idioma: En Revista: J Comput Phys Año: 2024 Tipo del documento: Article País de afiliación: Estados Unidos

Texto completo: 1 Banco de datos: MEDLINE Idioma: En Revista: J Comput Phys Año: 2024 Tipo del documento: Article País de afiliación: Estados Unidos