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Related Concept Videos

Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces
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A Sharp-Interface Immersed Boundary Method with Improved Mass Conservation and Reduced Spurious Pressure

Jung Hee Seo1, Rajat Mittal

  • 1Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, 21218.

Journal of Computational Physics
|August 23, 2011
PubMed
Summary

This study introduces a novel cut-cell approach to stabilize simulations of moving boundary flows using immersed boundary methods (IBMs). The technique significantly reduces spurious pressure oscillations, improving simulation accuracy for complex fluid dynamics problems.

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Area of Science:

  • Computational fluid dynamics
  • Numerical methods for fluid flow
  • Fluid-structure interaction

Background:

  • Simulating moving boundary problems with immersed boundary methods (IBMs) often leads to spurious pressure oscillations.
  • These oscillations are primarily caused by violations of the geometric conservation law near the immersed boundary.

Purpose of the Study:

  • To develop a method that reduces spurious pressure oscillations in sharp-interface immersed boundary simulations.
  • To maintain the desirable properties of finite-difference based IBMs while enhancing stability.

Main Methods:

  • A cut-cell based approach is adopted to strictly enforce geometric conservation near the immersed boundary.
  • The cut-cell discretization is selectively applied to pressure Poisson and velocity correction equations within a fractional-step method.
  • A virtual cell-merging technique is employed to address challenges associated with small cells.

Main Results:

  • The proposed method effectively reduces spurious pressure oscillations by approximately one order of magnitude.
  • The technique preserves the beneficial characteristics of the original finite-difference based IBM.

Conclusions:

  • The novel cut-cell approach provides a stable and accurate solution for simulating moving boundary flow problems.
  • This method enhances the reliability of immersed boundary simulations, particularly for applications involving dynamic boundaries.