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Class of turbulent flow
Multiscale turbulence is a class of turbulent flows in which the chaotic motion of the fluid is forced at different length and/or time scales. This is
Multiscale_turbulence
Four NASA robots studying Earth's magnetosphere (2015-present)
The Magnetospheric Multiscale (MMS) Mission is a NASA robotic space mission to study the Earth's magnetosphere, using four identical spacecraft flying
Magnetospheric Multiscale Mission
Magnetospheric_Multiscale_Mission
Planned Sun-observing satellite
et al. (December 2023). "HelioSwarm: A Multipoint, Multiscale Mission to Characterize Turbulence". Space Science Reviews. 219 (8). arXiv:2306.06537.
HelioSwarm
The variational multiscale method (VMS) is a technique used for deriving models and numerical methods for multiscale phenomena. The VMS framework has been
Variational_multiscale_method
Chinese mathematician
worked on multiscale modeling and the study of rare events. He has also made contributions to homogenization theory, theoretical models of turbulence, stochastic
Weinan_E
French-Chilean born American fluid dynamicist
experimental tools for his research, with an emphasis on the multiscale aspects of turbulence, using tools such as subgrid-scale modeling, downscaling techniques
Charles_Meneveau
English meteorologist and mathematician (1881–1953)
Richardson number Modified Richardson iteration Richards equation Multiscale turbulence Takebe Kenko Frederick W. Lanchester List of peace activists Gold
Lewis_Fry_Richardson
Weather forecasting and data assimilation system
The Global Environmental Multiscale Model (GEM), often known as the CMC model in North America, is an integrated forecasting and data assimilation system
Global Environmental Multiscale Model
Global_Environmental_Multiscale_Model
Approximations that apply at multiple scales
coordinate transforms and invariant manifolds provide a sounder support for multiscale modelling (for example, see center manifold and slow manifold). As an
Multiple-scale_analysis
Graph representation in quantum mechanics
(PEPS) in two and higher dimensions, tree tensor networks (TTN), and the multiscale entanglement renormalization ansatz (MERA). Tensor networks provide the
Tensor_network
Simulation of multiple aspects of physics
considered a multiphysics simulation. Multiphysics simulation is related to multiscale simulation, which is the simultaneous simulation of a single process on
Multiphysics_simulation
American scientist (born 1962)
author, and educator best known for his contributions to the field of multiscale modeling, pattern formation, and morphogenesis in biological systems.
James_A._Glazier
American mathematician
for his wide-spectrum work on high-dimensional stochastic modeling and multiscale simulations of physical and biological systems, and is a pioneer of spectral/hp-element
George_Karniadakis
Russian-Israeli physicist
model of turbulence with improved nonlinear coupling and correlation properties that addressed issues in the GOY model, while preserving multiscaling and exhibiting
Victor_L'vov
Process in plasma physics
Machine, The Magnetospheric Multiscale (MMS) mission, Solving Magnetospheric Acceleration, Reconnection, and Turbulence. Due for launch in 2014. Cluster
Magnetic_reconnection
Theoretical framework for strongly magnetized plasmas
have been experimentally shown to be appropriate for modeling plasma turbulence. The trajectory of charged particles in a magnetic field is a helix that
Gyrokinetics
Topics referred to by the same term
Graphics Environment for Multimedia, graphics software Global Environmental Multiscale Model, a meteorological forecasting system Globally Executable MHP, a
Gem_(disambiguation)
nonlinear science, from integrable to chaotic behaviour, from solitons to turbulence, and from fluid dynamics to shape analysis. Much of this work is based
Darryl_Holm
Infinitely detailed mathematical structure
Silva, C. M.; Philip, J.; Chauhan, K.; Meneveau, C.; Marusic, I. (2013). "Multiscale Geometry and Scaling of the Turbulent–Nonturbulent Interface in High Reynolds
Fractal
Type of metric space
Benzi, R.; Biferale, L.; Trovatore, E. (1997). "Ultrametric Structure of Multiscale Energy Correlations in Turbulent Models". Physical Review Letters. 79
Ultrametric_space
In persistent homology, a persistent Betti number is a multiscale analog of a Betti number that tracks the number of topological features that persist
Persistent_Betti_number
Function for integral Fourier-like transform
Norbert; Caesar, Levke; Kurths, Jürgen (November 2018). "Wavelet-based multiscale similarity measure for complex networks" (PDF). The European Physical
Wavelet
System with multiple fractal dimensions
developed turbulence, natural luminosity time series, and real-world scenes. Models have been proposed in various contexts ranging from turbulence in fluid
Multifractal_system
mechanics – Archimedes' screw – Armor – Artificial intelligence – Atmospheric turbulence – Automobile – Axle – Beams – Bending – Biodynamic agriculture – Biomaterials
Index of engineering science and mechanics articles
Index_of_engineering_science_and_mechanics_articles
British theoretical physicist
University of Oxford Lamb Lecture that integrated modeling systems "with multiscale simulations, plus AI surrogates, plus simulations of the neutrons, simulations
Steven_Cowley
Simple polynomial map exhibiting chaotic behavior
chaos. This progression of stages is strikingly similar to the onset of turbulence. Chaos is not peculiar to non-linear systems alone and it can also be
Logistic_map
Electromagnetic phenomenon
mixing is. As such, many studies which involve ESWs are centered around turbulence, chaos, instabilities, and magnetic reconnection. The discovery of solitary
Electrostatic_solitary_wave
Mechanical engineer and academic
and academic, most known for his work on computational fluid dynamics, turbulence, particle-laden flow, and immiscible multiphase flow, and their applications
Lian-Ping_Wang
Hexagonal lattice made of carbon atoms
Spitz; Wang, Zhongying; Hurt, Robert H.; Wong, Ian Y. (6 May 2016). "Multiscale Graphene Topographies Programmed by Sequential Mechanical Deformation"
Graphene
Probabilistic problem-solving algorithm
doi:10.1515/mcma-2016-0102. S2CID 30198383. Baeurle, Stephan A. (2009). "Multiscale modeling of polymer materials using field-theoretic methodologies: A survey
Monte_Carlo_method
Model of electrically conducting fluids
MHD equations are derived from the Vlasov equation. Reduced By using a multiscale analysis, the (resistive) MHD equations can be reduced to a set of four
Magnetohydrodynamics
British astrophysicist
research on magnetic storms informed the strategy of the Magnetospheric Multiscale Mission. Alongside her scientific research, Chapman is an artist, and
Sandra_Chapman
severe accident modeling Commercial Model for Prediction Across Scales Multiscale multiphysics simulation Commercial OpenSees Structural and earthquake
List of computational physics software
List_of_computational_physics_software
Real-valued number of spatial dimensions
ISSN 2041-1723. PMC 6408517. PMID 30850605. Contact stiffness of multiscale surfaces, In the International Journal of Mechanical Sciences (2017),
Fractal_dimension
directed in such a way as to provide thrust. Multiphase Flow Turbulence Modeling Multiscale Acceleration (via "time zooming") Propellant Morphology/characterization
Center for the Simulation of Advanced Rockets
Center_for_the_Simulation_of_Advanced_Rockets
Variation in the time intervals between heartbeats
pointwise correlation dimension, approximate entropy, sample entropy, multiscale entropy analysis, sample asymmetry and memory length (based on inverse
Heart_rate_variability
NASA probe of the Sun's outer corona
and magnetic fields in the Sun's atmosphere. FIELDS measures waves and turbulence in the inner heliosphere with high time resolution to understand the fields
Parker_Solar_Probe
Han Chinese subdivision
into homogenization theory, theoretical models of turbulence, electronic structure analysis, multiscale methods, computational fluid dynamics, and weak
Wu_Chinese-speaking_people
Weather research laboratory
precipitation, lightning threat, and more. The NSSL COllaborative Model for Multiscale Atmospheric Simulation (COMMAS) is a 3D cloud model used to recreate thunderstorms
National Severe Storms Laboratory
National_Severe_Storms_Laboratory
Indian physicist (born 1956)
(2008). "The universality of dynamic multiscaling in homogeneous, isotropic Navier-stokes and passive-scalar turbulence". New Journal of Physics. 10 (3) 033003
Rahul_Pandit
Machine learning framework
Bibcode:2016arXiv160902612V. Kang, Yuhao; Gao, Song; Roth, Rob (2019). "Transferring Multiscale Map Styles Using Generative Adversarial Networks". International Journal
Generative adversarial network
Generative_adversarial_network
Boundary between two distinct water masses
McCarthy, James J.; Rothschild, Brian J. (eds.). The Global Coastal Ocean: Multiscale Interdisciplinary Processes. Harvard University Press. ISBN 978-0-674-01742-9
Front_(oceanography)
Thermal sciences engineer
basic understanding of transition to turbulence and effects of stratification and conjugate transport, multiscale modeling and quantification of mixing
Yogesh_Jaluria
European Space Agency space mission
pacific ocean July 15 – Cluster, Double Star, THEMIS and the Magnetospheric Multiscale Mission reveal the impact of extreme geomagnetic storms can be twice as
Cluster_II_(spacecraft)
California weather pattern
doi:10.1016/j.atmosres.2026.108920. Janiszeski, A.; Crippa, P. (2025). "Multiscale WRF modeling of meso- to micro-scale flows during Sundowner events". Journal
Sundowner_winds
American astrophysicist
E. (November 3, 2023). "HelioSwarm: A Multipoint, Multiscale Mission to Characterize Turbulence". Space Sci. Rev. 219 (8): 74. arXiv:2306.06537. Bibcode:2023SSRv
Anthony_W._Case
Greek-British applied scientist, engineer and university professor
devices and fundamental science to understanding solid-fluid interfaces. Multiscale continuum and molecular modelling: He has developed coupling methods comprising
Dimitris_Drikakis
to most frequently occurring scientific problems. He discussed novel multiscale equations, PDEs, and numerical algorithms with the purpose to persuade
Boualem_Khouider
Chemical reaction between a fuel and oxygen
Chiavazzo, Eliodoro; Karlin, Ilya (2011). "Adaptive simplification of complex multiscale systems". Phys. Rev. E. 83 (3) 036706. arXiv:1011.1618. Bibcode:2011PhRvE
Combustion
PhD 1953; Nobel laureate in chemistry (2013) "for the development of multiscale models for complex chemical systems" Chaitan Khosla, PhD 1990; Alan T
List of California Institute of Technology people
List_of_California_Institute_of_Technology_people
Mathematics award
differential equations, including the fluid limits of rarefied flows, multiscale analysis in plasma physics equations and ocean modeling, and the derivation
Fermat_Prize
State of matter
ISBN 978-3-319-44649-3. OCLC 963198053. Steinhauser, M. O. (2022). Computational multiscale modeling of fluids and solids: theory and applications. Cham, Switzerland:
Liquid
Weather prediction using mathematical models of the atmosphere and oceans
Integrated Forecast System and Environment Canada's Global Environmental Multiscale Model both run out to ten days into the future, and the Global Forecast
Numerical_weather_prediction
Aspect of meteorological history
April 22, 1986. It was followed by the Canadian Global Environmental Multiscale Model (GEM) mesoscale model on February 24, 1997. The German Weather Service
History of numerical weather prediction
History_of_numerical_weather_prediction
Family of mathematical methods
Smolarkiewicz, P.K. and Charbonneau, P. (2013). "EULAG, a computational model for multiscale flows: An MHD extension". Journal of Computational Physics. 236: 608–623
MPDATA
Type of angular momentum in light
Electromagnetic Waves: From Classical to Quantum Forms", IEEE Journal on Multiscale and Multiphysics Computational Techniques, 9: 113–117, arXiv:2403.01504
Orbital angular momentum of light
Orbital_angular_momentum_of_light
Ability of bacteria to move independently using metabolic energy
Christoph A.; Juckeland, Guido; Biais, Nicolas; Zaburdaev, Vasily (2017). "Multiscale modeling of bacterial colonies: How pili mediate the dynamics of single
Bacterial_motility
Global network monitoring greenhouse gases
Zachary T. Butterfield, Jay R. Herman, Thom Rahn, and Sang-Hyun Lee. Multiscale observations of CO2, 13CO2, and pollutants at Four Corners for emission
Total Carbon Column Observing Network
Total_Carbon_Column_Observing_Network
1984), Spanish applied mathematician known for stochastic modelling of multiscale phenomena Sophie Bryant (1850–1922), Anglo-Irish mathematician, educator
List_of_women_in_mathematics
and transport of plasma Magnetosphere particle motion Magnetospheric Multiscale Mission Magnetotellurics MAGPIE, stands for Mega Ampere Generator for
List of plasma physics articles
List_of_plasma_physics_articles
Arieh Warshel, Martin Karplus and Michael Levitt "for the development of multiscale models for complex chemical systems". A new microscopic technique allows
2013_in_science
NASA probe to study solar wind, at L1 since 1995
1997, still operational Cassini–Huygens Cluster Helios Magnetospheric Multiscale Mission (MMS) MESSENGER (Mercury Surface, Space Environment, Geochemistry
Wind_(spacecraft)
Non-local formulation of continuum mechanics
(January 2009). "Peridynamics as an Upscaling of Molecular Dynamics". Multiscale Modeling & Simulation. 8 (1): 204–227. doi:10.1137/09074807X. ISSN 1540-3459
Peridynamics
Reconnaissance Orbiter Mission (LRO), launched in June 2009, the Magnetospheric MultiScale Mission (MMS) mission, launched in 2015, and the Plankton, Aerosol, Cloud
List of Puerto Ricans in the United States Space Program
List_of_Puerto_Ricans_in_the_United_States_Space_Program
French researcher (born 1957)
to improve signal to noise ratio, specifically devised wavelets for a multiscale analysis, extreme magnitude distributions, etc.). This result thus shows
Didier_Sornette
College unit in University Park, Pennsylvania, US
sintered material, particulates, refractory, and hard materials Center for Multiscale Wave-Materials Interactions: a multidisciplinary center focused on the
Penn State College of Engineering
Penn_State_College_of_Engineering
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MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
MULTISCALE TURBULENCE
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