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This study benchmarks the immersed boundary (IB) method for viscoelastic fluid simulations. It provides recommendations for numerical parameters to ensure accurate simulations in complex geometries.

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Area of Science:

  • Computational Fluid Dynamics
  • Rheology
  • Biophysics

Background:

  • The immersed boundary (IB) method is crucial for simulating fluid dynamics with immersed structures, particularly in biological systems.
  • While effective for viscous fluids, its application to viscoelastic fluids requires further validation.
  • Existing research on the IB method's accuracy and convergence for viscoelastic flows is limited.

Purpose of the Study:

  • To benchmark the immersed boundary (IB) method for viscoelastic fluid simulations.
  • To evaluate the IB method's performance in complex, stationary geometries.
  • To compare the IB method with finite element and finite volume solvers for viscoelastic flows.

Main Methods:

  • Application of the IB method to viscoelastic flows using Oldroyd-B and Rolie-Poly constitutive models.
  • Utilizing two-dimensional numerical test cases.
  • Comparing simulation results with rheology experimental data.
  • Benchmarking against finite element and finite volume viscoelastic flow solvers.

Main Results:

  • The study presents benchmark tests for the IB method applied to viscoelastic flows.
  • Analysis includes comparisons with experimental data and other numerical solvers.
  • Key numerical parameters, such as delta function regularization and grid spacing, are analyzed.

Conclusions:

  • The IB method can be effectively applied to viscoelastic flows in complex geometries.
  • Recommendations are provided for selecting numerical parameters to optimize accuracy and convergence.
  • This work contributes to the reliable use of the IB method in viscoelastic fluid dynamics.