2018年09月18日
Lagrangian Coherent Structures with Guaranteed Material Separation
ラグランジュコヒーレント構造
Lagrangian Coherent Structures with Guaranteed Material Separation
ラグランジュコヒーレント構造
https://youtu.be/qCoM5aBmE1k
Tobias Germer2011/03/30 に公開
By Tobias Germer, Mathias Otto, Ronald Peikert and Holger Theisel. Publication at Eurographics 2011. Details at http://wwwisg.cs.uni-magdeburg.de/~ge...
カテゴリ 科学と技術
ライセンス 標準の YouTube ライセンス
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Reference Note
Lagrangian coherent structure：Wikipedia
https://en.wikipedia.org/wiki/Lagrangian_coherent_structure
Lagrangian coherent structure
Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest.[1][2][3] The type of this influence may vary, but it invariably creates a coherent trajectory pattern for which the underlying LCS serves as a theoretical centerpiece. In observations of tracer patterns in nature, one readily identifies coherent features, but it is often the underlying structure creating these features that is of interest.
As illustrated on the right, individual tracer trajectories forming coherent patterns are generally sensitive with respect to changes in their initial conditions and the system parameters. In contrast, the LCSs creating these trajectory patterns turn out to be robust and provide a simplified skeleton of the overall dynamics of the system.[3][4][5] The robustness of this skeleton makes LCSs ideal tools for model validation, model comparison and benchmarking. LCSs can also be used for now-casting and even short-term forecasting of pattern evolution in complex dynamical systems.
Physical phenomena governed by LCSs include floating debris, oil spills,[6] surface drifters[7][8] and chlorophyll patterns[9] in the ocean; clouds of volcanic ash[10] and spores in the atmosphere;[11] and coherent crowd patterns formed by humans[12] and animals.
While LCSs generally exist in any dynamical system, their role in creating coherent patterns is perhaps most readily observable in fluid flows. The images below are examples of how different types of LCSs hidden in geophysical flows shape tracer patterns.
[Omitted below] （ [以下省略] ）
[This page was last edited on 10 September 2018, at 11:36 (UTC).
ラグランジュコヒーレント構造
https://youtu.be/qCoM5aBmE1k
Tobias Germer2011/03/30 に公開
By Tobias Germer, Mathias Otto, Ronald Peikert and Holger Theisel. Publication at Eurographics 2011. Details at http://wwwisg.cs.uni-magdeburg.de/~ge...
カテゴリ 科学と技術
ライセンス 標準の YouTube ライセンス
☆☆☆==============================================☆☆☆
Reference Note
Lagrangian coherent structure：Wikipedia
https://en.wikipedia.org/wiki/Lagrangian_coherent_structure
Lagrangian coherent structure
Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest.[1][2][3] The type of this influence may vary, but it invariably creates a coherent trajectory pattern for which the underlying LCS serves as a theoretical centerpiece. In observations of tracer patterns in nature, one readily identifies coherent features, but it is often the underlying structure creating these features that is of interest.
As illustrated on the right, individual tracer trajectories forming coherent patterns are generally sensitive with respect to changes in their initial conditions and the system parameters. In contrast, the LCSs creating these trajectory patterns turn out to be robust and provide a simplified skeleton of the overall dynamics of the system.[3][4][5] The robustness of this skeleton makes LCSs ideal tools for model validation, model comparison and benchmarking. LCSs can also be used for now-casting and even short-term forecasting of pattern evolution in complex dynamical systems.
Physical phenomena governed by LCSs include floating debris, oil spills,[6] surface drifters[7][8] and chlorophyll patterns[9] in the ocean; clouds of volcanic ash[10] and spores in the atmosphere;[11] and coherent crowd patterns formed by humans[12] and animals.
While LCSs generally exist in any dynamical system, their role in creating coherent patterns is perhaps most readily observable in fluid flows. The images below are examples of how different types of LCSs hidden in geophysical flows shape tracer patterns.
Spiral eddies:
Hyperbolic and elliptic LCSs
(Paul Scully-Power/NASA)
Hyperbolic and elliptic LCSs
(Paul Scully-Power/NASA)
Sea surface temperature in Gulf Stream
Parabolic LCSs
(NASA)
Parabolic LCSs
(NASA)
[Omitted below] （ [以下省略] ）
[This page was last edited on 10 September 2018, at 11:36 (UTC).
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