Lagrangian ocean analysis is a way of analysing ocean dynamics by computing the trajectories of virtual fluid particles, following the Lagrangian perspective of fluid flow, from a specified velocity field. Often, the Eulerian velocity field used as an input for Lagrangian ocean analysis has been computed using an ocean general circulation model (OGCM).[1] Lagrangian techniques can be employed on a range of scales, from modelling the dispersal of biological matter within the Great Barrier Reef[2] to global scales.[3] Lagrangian ocean analysis has numerous applications, from modelling the diffusion of tracers,[1] through the dispersal of aircraft debris[4] and plastics,[5] to determining the biological connectivity of ocean regions.[2]
^ abvan Sebille, Erik; Griffies, Stephen M.; Abernathey, Ryan; Adams, Thomas P.; Berloff, Pavel; Biastoch, Arne; Blanke, Bruno; Chassignet, Eric P.; Cheng, Yu; Cotter, Colin J.; Deleersnijder, Eric; Döös, Kristofer; Drake, Henri F.; Drijfhout, Sybren; Gary, Stefan F.; Heemink, Arnold W.; Kjellsson, Joakim; Koszalka, Inga Monika; Lange, Michael; Lique, Camille; MacGilchrist, Graeme A.; Marsh, Robert; Mayorga Adame, C. Gabriela; McAdam, Ronan; Nencioli, Francesco; Paris, Claire B.; Piggott, Matthew D.; Polton, Jeff A.; Rühs, Siren; Shah, Syed H. A. M.; Thomas, Matthew D.; Wang, Jinbo; Wolfram, Phillip J.; Zanna, Laure; Zika, Jan D. (1 January 2018). "Lagrangian ocean analysis: Fundamentals and practices". Ocean Modelling. 121: 49–75. Bibcode:2018OcMod.121...49V. doi:10.1016/j.ocemod.2017.11.008. hdl:10044/1/54181.
^ abThomas, Christopher J.; Lambrechts, Jonathan; Wolanski, Eric; Traag, Vincent A.; Blondel, Vincent D.; Deleersnijder, Eric; Hanert, Emmanuel (24 January 2014). "Numerical modelling and graph theory tools to study ecological connectivity in the Great Barrier Reef". Ecological Modelling. 272: 160–174. doi:10.1016/j.ecolmodel.2013.10.002.
^What is ARIANE? Retrieved 2021-05-18.
^Durgadoo, Jonathan V.; Biastoch, Arne; New, Adrian L.; Rühs, Siren; Nurser, Aylmer J.G.; Drillet, Yann; Bidlot, Jean-Raymond (2 January 2021). "Strategies for simulating the drift of marine debris". Journal of Operational Oceanography. 14 (1): 1–12. Bibcode:2021JOO....14....1D. doi:10.1080/1755876X.2019.1602102. S2CID 145987361.
^Lebreton, L. C. -M.; Greer, S. D.; Borrero, J. C. (1 March 2012). "Numerical modelling of floating debris in the world's oceans". Marine Pollution Bulletin. 64 (3): 653–661. Bibcode:2012MarPB..64..653L. doi:10.1016/j.marpolbul.2011.10.027. PMID 22264500.
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Lagrangianoceananalysis is a way of analysing ocean dynamics by computing the trajectories of virtual fluid particles, following the Lagrangian perspective...
Lagrangiananalysis is the use of Lagrangian coordinates to analyze various problems in continuum mechanics. Lagrangiananalysis may be used to analyze...
OceanParcels, “Probably A Really Computationally Efficient Lagrangian Simulator”, is a set of python classes and methods that is used to track particles...
Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories...
from Drake Passage to the Atlantic, Indian, and Pacific Oceans: A Lagrangian Model Analysis". Journal of Physical Oceanography. 35 (7): 1206–1222. Bibcode:2005JPO...
in a particular location, but some are so-called Lagrangian traps that drift with the surrounding ocean currents (though they may remain at a fixed depth)...
The Hybrid Single-Particle Lagrangian Integrated Trajectory model (HYSPLIT) is a computer model that is used to compute air parcel trajectories to determine...
of the particle trajectories in fully nonlinear periodic waves and the Lagrangian wave period they experience can for instance be found in: J. M. Williams...
translational symmetry. Advanced formulations of classical mechanics, Lagrangian and Hamiltonian mechanics, allow one to choose coordinate systems that...
Observation (CALIPSO) with Eulerian and Lagrangian approach. Since the 2000s, The Hybrid Single-Particle Lagrangian Integrated Trajectory model (HYSPLIT)...
describes fluid properties in a spatially fixed coordinate system (see Lagrangian and Eulerian specification of a fluid). In contrast, statistical diffusion...
the stability of planetary orbits, and discovered the existence of the Lagrangian points. Lagrange also reformulated the principles of classical mechanics...
\right\|_{2}^{2}} and α {\displaystyle \alpha } is a tuning parameter (this is the Lagrangian form of the constrained minimization problem). In a Bayesian context,...
approximate solution of weak-form partial equations based on high-order Lagrangian interpolants and used only with certain quadrature rules. Loubignac iteration...
to ocean life from the very start of the food chain. Okubo, Akira, Ebbesmeyer, Curtis C., Helseth, Jonathan M. 1976. "Determination of Lagrangian deformations...
(/ˌmɛdɪtəˈreɪniən/ MED-ih-tə-RAY-nee-ən) is a sea connected to the Atlantic Ocean, surrounded by the Mediterranean Basin and almost completely enclosed by...
beat frequency, correlating to rotation in the yaw plane. In astronomy, Lagrangian points are five positions in the orbital plane of two large orbiting bodies...
into three categories. Integral time scale The integral time scale for a Lagrangian flow can be defined as: T = ( 1 ⟨ u ′ u ′ ⟩ ) ∫ 0 ∞ ⟨ u ′ u ′ ( τ ) ⟩...
"Atmospheric Freshwater Transport From the Atlantic to the Pacific Ocean: A LagrangianAnalysis". Geophysical Research Letters. 47 (6): e2019GL086176. Bibcode:2020GeoRL...
MCIP can usually be found in a practical amount of computer time using Lagrangian relaxation to solve the dual formulation of the optimization problem....
(2008). "A Public Turbulence Database Cluster and Applications to Study Lagrangian Evolution of Velocity Increments in Turbulence". Journal of Turbulence...
(1957). Elements of gas dynamics. John Willey & Sons. Nikonov, V. A Semi-Lagrangian Godunov-Type Method without Numerical Viscosity for Shocks. Fluids 2022...
case of the ocean tides, the speed of tidal waves in the ocean is far slower than the speed of the Moon's tidal forcing. As a result, the ocean is never...
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