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August 7, 2026International Journal for Numerical Methods in FluidsOpen Access

Immersed Boundary Projection Method for Boundaries With Slip Velocities

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Authors

TFTakehiro FujiiTOTakeshi Omori

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Overview

Randomized trial investigates flow dynamics in incompressible fluids with boundary slip, suggesting improved simulation accuracy.

Key Points

  • This research aims to develop a more accurate immersed boundary method for modeling flows over surfaces with slip velocity.
  • Formulated an immersed boundary method for incompressible flows incorporating Navier boundary conditions.
  • Evaluated spatial resolution requirements for Reynolds numbers below 100.
  • Validated the method against experimental and numerical results for stationary and moving bodies.
  • The method achieved first-order accuracy in space and fourth-order accuracy in time.
  • Validation simulations showed good agreement with prior results across various slip lengths, including the no-slip scenario.
  • The numeric evaluation confirmed the necessary spatial resolution to match body-fitted mesh solutions.

Cite This Study

Fujii et al. (2026) studied this question.

synapsesocial.com/papers/6a758c2e847ab6d26c02018dhttps://doi.org/10.1002/fld.70091
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