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Origin and evolution of immersed boundary methods in computational fluid dynamics.

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This review details the evolution of Immersed Boundary Methods (IBMs) in computational fluid dynamics over 60 years. It highlights advancements and the relationship between IBMs and body-conformal grid methods.

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Area of Science:

  • Computational Fluid Dynamics
  • Numerical Simulation Methods

Background:

  • Immersed Boundary Methods (IBMs) have a rich history dating back to the late 1950s.
  • The development of IBMs is intertwined with the progress of computational fluid dynamics (CFD).

Purpose of the Study:

  • To present a comprehensive evolutionary history of Immersed Boundary Methods (IBMs).
  • To critically analyze the advancements in IBMs and their interplay with body-conformal grid (BCG) methods over the past fifty years.
  • To provide insights into the capabilities and limitations of these simulation techniques.

Main Methods:

  • Historical review and chronological analysis of Immersed Boundary Methods (IBMs).
  • Comparative study of IBMs and body-conformal grid (BCG) methods.
  • Leveraging over forty years of personal experience in the field.

Main Results:

  • Traces the origins and evolution of IBMs from the late 1950s to the present.
  • Highlights significant advancements in IBM simulation methodology over six decades.
  • Examines the dynamic relationship and interplay between IBMs and BCG methods.

Conclusions:

  • Readers will gain a deeper understanding of the capabilities and limitations of IBMs.
  • The article aims to inspire future research to address current gaps and drive innovation in computational fluid dynamics.
  • Encourages the pursuit of new advancements in immersed boundary and grid-based simulation techniques.