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Lagrangian Reduced Order Modeling Using Finite Time Lyapunov Exponents
There are two main strategies for improving the projection-based reduced order model (ROM) accuracy—(i) improving the ROM, that is, adding new terms to the standard ROM; and (ii) improving the ROM basis, that is, constructing ROM bases that yield more ...
Xuping Xie +4 more
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Routh Reduction by Stages [PDF]
This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics.
Bavo Langerock +2 more
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Application of Smoothed Particle Hydrodynamics Method in Metal Processing: An Overview [PDF]
Smoothed Particle Hydrodynamics (SPH) is a Lagrangian formula-based non-grid computational method for simulating fluid flows, solid deformation, and fluid structured systems.
Trang T.T. Nguyen, M. Hojny
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Persistence of Cold Wedges in the Somali Current System
The Somali Current system in the western Arabian Sea reverses seasonally with the South Asian Monsoon and is associated with localized upwelling cells or cold wedges during the summer southwest monsoon. Drifter trajectories in boreal summer and fall 2014
Verena Hormann +2 more
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Particle trajectory of nonlinear progressive flexural-gravity waves in Lagrangian coordinates
In this paper, we study the particle dynamics of nonlinear flexural-gravity waves propagating in a finite water depth, which is the interaction between ice sheets and water flows.
Hung-Chu Hsu, Meng-Syue Li
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Studying sediment transport dynamics by using the Smart sphere
A new method is introduced by using high precision accelerometer and gyroscope micro-electromechanical sensors (MEMS), which can record Lagrangian observations of sediments and shed light into the dynamics of sediment transport processes at above ...
Zaid Alhusban, Manousos Valyrakis
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Hamiltonian structures for integrable hierarchies of Lagrangian PDEs [PDF]
Many integrable hierarchies of differential equations allow a variational description, called a Lagrangian multiform or a pluri-Lagrangian structure. The fundamental object in this theory is not a Lagrange function but a differential $d$-form that is ...
Mats Vermeeren
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The transport pathways and exchange characteristics of the Kamil Abdüş Lagoon in Istanbul, Turkey, are simulated using a finite element model with a Lagrangian particle tracking module. The lagoon is in the process of being reconfigured.
Banu Tansel Büyükçelebi +2 more
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Portage: A Modular Data Remap Library for Multiphysics Applications on Advanced Architectures
Portage is a scalable and extensible remap library for numerical simulations. It supports state-of-the-art remap schemes for meshes and particles in 2D and 3D up to a second-order accuracy.
Angela Herring +10 more
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Non-Orientable Lagrangian Cobordisms between Legendrian Knots [PDF]
In the symplectization of standard contact $3$-space, $\mathbb R \times \mathbb R^3$, it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also known as an orientable Lagrangian endocobordism for the Legendrian knot ...
Capovilla-Searle, Orsola, Traynor, Lisa
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