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Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
10:52

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AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS.

Jian Hao1, Zhilin Li, Sharon R Lubkin

  • 1Department of Mathematics, Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695, USA.

Discrete and Continuous Dynamical Systems. Series B
|May 29, 2012
PubMed
Summary
This summary is machine-generated.

We developed a new computational method to simulate how deformable structures with mass move in fluids. This fluid-structure interaction model reveals that these systems can be stationary or oscillatory depending on fluid dynamics.

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Area of Science:

  • Computational fluid dynamics
  • Fluid-structure interaction
  • Solid mechanics

Background:

  • Simulating fluid-structure interactions is crucial for understanding phenomena in various engineering and biological systems.
  • Existing methods often face challenges in accurately capturing the dynamics of deformable bodies with mass in incompressible fluids.

Purpose of the Study:

  • To introduce an augmented immersed interface method for simulating the dynamics of a deformable structure with mass in an incompressible fluid.
  • To analyze the behavior of such fluid-structure systems, particularly their stability characteristics.

Main Methods:

  • The fluid dynamics are governed by the two-dimensional Navier-Stokes equations.
  • An augmented immersed interface method is employed, treating the structure's acceleration as the key augmented variable.
  • A modified projection method enforces pressure jump conditions consistent with the structure's acceleration.

Main Results:

  • The augmented method demonstrates second-order spatial convergence when validated against an exact solution for a stationary interface.
  • Simulations of a deformable circular structure with mass reveal a bi-stable behavior.
  • A transition from a stationary state to an oscillatory state is observed as the Reynolds number increases.

Conclusions:

  • The proposed augmented immersed interface method provides an accurate and efficient tool for fluid-structure interaction simulations.
  • The study highlights the complex dynamics, including bi-stability, exhibited by deformable structures with mass in fluid flows.
  • The findings align with existing literature, validating the computational approach and providing insights into system behavior.