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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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Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
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Published on: February 3, 2014

A multigrid fluid pressure solver handling separating solid boundary conditions.

Nuttapong Chentanez1, Matthias Müller-Fischer

  • 1NVIDIA PhysX Research, 38 Pungmee, 7 Sukhumvit, 93 Bangjak Prakanong, Bangkok, Thailand. nchentanez@nvidia.com

IEEE Transactions on Visualization and Computer Graphics
|March 14, 2012
PubMed
Summary
This summary is machine-generated.

We developed a fast multigrid method for liquid simulations, solving linear complementarity problems (LCP) with separating boundaries. This approach enables efficient 3D simulations, overcoming limitations of previous quadratic programming solvers.

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Area of Science:

  • Computational physics
  • Fluid dynamics simulation
  • Numerical analysis

Background:

  • Eulerian liquid simulations require solving pressure projection steps with complex boundary conditions.
  • Separating solid boundary conditions in liquid simulations are computationally challenging.
  • Previous methods using quadratic programming (QP) solvers were too slow for practical 3D simulations.

Purpose of the Study:

  • To present a novel multigrid method for efficiently solving the linear complementarity problem (LCP) in Eulerian liquid simulations.
  • To enable 3D liquid simulations with separating solid boundary conditions in practical domain sizes.
  • To improve the speed and applicability of LCP solvers in fluid dynamics.

Main Methods:

  • Developed a multigrid method tailored for LCP arising from discretized Poisson equations with separating boundary conditions.
  • Integrated the multigrid solver with minimal modifications to existing linear system solvers.
  • Applied the generalized solver to 3D liquid simulations with complex boundary interactions.

Main Results:

  • The proposed multigrid method significantly accelerates LCP solving for liquid simulations.
  • The solver successfully handles 3D simulations with separating boundaries, including non-axis-aligned and moving solids.
  • Demonstrated that the convergence rate of the LCP solver is comparable to standard multigrid solvers for linear systems.
  • Overcame the performance limitations of previous QP-based methods.

Conclusions:

  • The new multigrid method provides a fast and practical solution for Eulerian liquid simulations with separating boundary conditions.
  • This advancement allows for more realistic and artifact-free liquid simulations in complex scenarios.
  • The technique offers a substantial improvement over existing methods in terms of speed and scalability.