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Efficient visualization of lagrangian coherent structures by filtered AMR ridge extraction
1ETH Zurich, Switzerland. sadlo@inf.ethz.ch
IEEE Transactions on Visualization and Computer Graphics
|October 31, 2007
Summary
This study introduces a novel filtered ridge extraction method using adaptive mesh refinement. It significantly speeds up computation of Lagrangian coherent structures by intelligently seeding trajectories, improving efficiency for 3D vector field analysis.
Area of Science:
- Fluid dynamics
- Computational mathematics
- Data analysis
Background:
- Lagrangian coherent structures (LCS) are crucial for understanding fluid flow dynamics.
- Extracting LCS often involves computing Lyapunov exponents, which can be computationally intensive.
- Existing methods may require seeding trajectories across the entire domain, leading to inefficiencies.
Purpose of the Study:
- To develop an efficient method for filtered ridge extraction of LCS.
- To accelerate the computation of LCS in 3D vector fields.
- To introduce a new variant of finite Lyapunov exponents for LCS analysis.
Main Methods:
- Adaptive mesh refinement for filtered ridge extraction.
- Utilizing Lagrangian coherent structures derived from trajectory grids.
- Computing finite Lyapunov exponent fields to identify LCS ridges.
- Selective seeding of trajectories based on filter criteria.
Main Results:
- A substantial speed-up in LCS computation for 3D vector fields.
- Demonstrated applicability across several finite Lyapunov exponent variants, including a novel one.
- Efficiently avoids trajectory seeding in regions lacking relevant ridges.
Conclusions:
- The proposed method enhances the efficiency of filtered ridge extraction for LCS.
- Adaptive mesh refinement offers a significant computational advantage.
- This approach facilitates more practical analysis of complex 3D flow fields.
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