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Journal articles on the topic 'Eulerian map'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Frank, F. C. "The conformal neo-eulerian orientation map." Philosophical Magazine A 65, no. 5 (1992): 1141–49. http://dx.doi.org/10.1080/01418619208201501.

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2

Zhou, Junwei, Duowen Chen, Molin Deng, et al. "Eulerian-Lagrangian Fluid Simulation on Particle Flow Maps." ACM Transactions on Graphics 43, no. 4 (2024): 1–20. http://dx.doi.org/10.1145/3658180.

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We propose a novel Particle Flow Map (PFM) method to enable accurate long-range advection for incompressible fluid simulation. The foundation of our method is the observation that a particle trajectory generated in a forward simulation naturally embodies a perfect flow map. Centered on this concept, we have developed an Eulerian-Lagrangian framework comprising four essential components: Lagrangian particles for a natural and precise representation of bidirectional flow maps; a dual-scale map representation to accommodate the mapping of various flow quantities; a particle-to-grid interpolation

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Wang, Xiaolin, Ken Kamrin, and Chris H. Rycroft. "An incompressible Eulerian method for fluid–structure interaction with mixed soft and rigid solids." Physics of Fluids 34, no. 3 (2022): 033604. http://dx.doi.org/10.1063/5.0082233.

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We present a general simulation approach for incompressible fluid–structure interactions in a fully Eulerian framework using the reference map technique. The approach is suitable for modeling one or more rigid or finitely deformable objects or soft objects with rigid components interacting with the fluid and with each other. It is also extended to control the kinematics of structures in fluids. The model is based on our previous Eulerian fluid–soft solver [Rycroft et al., “Reference map technique for incompressible fluid–structure interaction,” J. Fluid Mech. 898, A9 (2020)] and generalized to

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Cotter, C. J., D. D. Holm, and P. E. Hydon. "Multisymplectic formulation of fluid dynamics using the inverse map." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2086 (2007): 2671–87. http://dx.doi.org/10.1098/rspa.2007.1892.

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We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map, the ‘back-to-labels’ map, gives the initial Lagrangian label of the fluid particle that currently occupies each Eulerian position. Explicitly enforcing the condition that the fluid particles carry their labels with the flow in Hamilton's principle leads to our multisymplectic formulation. We use the multisymplectic one-form to obtain conservation laws for energy, momentum and an infinite set of conservation laws arising from the particle relabelling symmetry and leading t

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Wang, Sinan, Yitong Deng, Molin Deng, et al. "An Eulerian Vortex Method on Flow Maps." ACM Transactions on Graphics 43, no. 6 (2024): 1–14. http://dx.doi.org/10.1145/3687996.

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We present an Eulerian vortex method based on the theory of flow maps to simulate the complex vortical motions of incompressible fluids. Central to our method is the novel incorporation of the flow-map transport equations for line elements , which, in combination with a bi-directional marching scheme for flow maps, enables the high-fidelity Eulerian advection of vorticity variables. The fundamental motivation is that, compared to impulse m , which has been recently bridged with flow maps to encouraging results, vorticity ω promises to be preferable for its numerical stability and physical inte

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6

Park, Hangil, Youngjin Cho, Seungbae Bang, and Sung-Hee Lee. "An Eulerian approach for constructing a map between surfaces with different topologies." Computer Graphics Forum 35, no. 7 (2016): 11–19. http://dx.doi.org/10.1111/cgf.12999.

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7

Ma, Kai. "Noncommutative Effects on the Fluid Dynamics and Modifications of the Friedmann Equation." Advances in High Energy Physics 2018 (October 21, 2018): 1–9. http://dx.doi.org/10.1155/2018/6578204.

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We propose a new approach in Lagrangian formalism for studying the fluid dynamics on noncommutative space. Starting with the Poisson bracket for single particle, a map from canonical Lagrangian variables to Eulerian variables is constructed for taking into account the noncommutative effects. The advantage of this approach is that the kinematic and potential energies in the Lagrangian formalism continuously change in the infinite limit to the ones in Eulerian formalism and hence make sure that both the kinematical and potential energies are taken into account correctly. Furthermore, in our appr

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Parisi, Matteo, Melissa Sherman-Bennett та Lauren Williams. "The 𝑚=2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers". Communications of the American Mathematical Society 3, № 7 (2023): 329–99. http://dx.doi.org/10.1090/cams/23.

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The hypersimplex Δ k + 1 , n \Delta _{k+1,n} is the image of the positive Grassmannian G r k + 1 , n ≥ 0 Gr^{\geq 0}_{k+1,n} under the moment map. It is a polytope of dimension n − 1 n-1 in R n \mathbb {R}^n . Meanwhile, the amplituhedron A n , k , 2 ( Z ) \mathcal {A}_{n,k,2}(Z) is the projection of the positive Grassmannian G r k , n ≥ 0 Gr^{\geq 0}_{k,n} into the Grassmannian G r k , k + 2 Gr_{k,k+2} under a map Z ~ \tilde {Z} induced by a positive matrix Z ∈ M a t n , k + 2 > 0 Z\in Mat_{n,k+2}^{>0} . Introduced in the context of scattering amplitudes, it is not a polytope, and has f

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Kuebel Cervantes, B. T., J. S. Allen, and R. M. Samelson. "Lagrangian characteristics of continental shelf flows forced by periodic wind stress." Nonlinear Processes in Geophysics 11, no. 1 (2004): 3–16. http://dx.doi.org/10.5194/npg-11-3-2004.

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Abstract. The coastal ocean may experience periods of fluctuating along-shelf wind direction, causing shifts between upwelling and downwelling conditions with responses that are not symmetric. We seek to understand these asymmetries and their implications on the Eulerian and Lagrangian flows. We use a two-dimensional (variations across-shelf and with depth; uniformity along-shelf) primitive equation numerical model to study shelf flows in the presence of periodic, zero-mean wind stress forcing. The model bathymetry and initial stratification is typical of the broad, shallow shelf off Duck, NC

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10

Cotter, C. J., G. A. Gottwald, and D. D. Holm. "Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2205 (2017): 20170388. http://dx.doi.org/10.1098/rspa.2017.0388.

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In Holm (Holm 2015 Proc. R. Soc. A 471 , 20140963. ( doi:10.1098/rspa.2014.0963 )), stochastic fluid equations were derived by employing a variational principle with an assumed stochastic Lagrangian particle dynamics. Here we show that the same stochastic Lagrangian dynamics naturally arises in a multi-scale decomposition of the deterministic Lagrangian flow map into a slow large-scale mean and a rapidly fluctuating small-scale map. We employ homogenization theory to derive effective slow stochastic particle dynamics for the resolved mean part, thereby obtaining stochastic fluid partial equati

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Caravelli, Francesco, Michael Saccone, and Cristiano Nisoli. "On the degeneracy of spin ice graphs, and its estimate via the Bethe permanent." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2252 (2021): 20210108. http://dx.doi.org/10.1098/rspa.2021.0108.

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The concept of spin ice can be extended to a general graph. We study the degeneracy of spin ice graph on arbitrary interaction structures via graph theory. We map spin ice graphs to the Ising model on a graph and clarify whether the inverse mapping is possible via a modified Krausz construction. From the gauge freedom of frustrated Ising systems, we derive exact, general results about frustration and degeneracy. We demonstrate for the first time that every spin ice graph, with the exception of the one-dimensional Ising model, is degenerate. We then study how degeneracy scales in size, using th

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Kružík, Martin, David Melching, and Ulisse Stefanelli. "Quasistatic evolution for dislocation-free finite plasticity." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 123. http://dx.doi.org/10.1051/cocv/2020031.

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We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradie

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Zheligovsky, Vladislav, and Uriel Frisch. "Time-analyticity of Lagrangian particle trajectories in ideal fluid flow." Journal of Fluid Mechanics 749 (May 16, 2014): 404–30. http://dx.doi.org/10.1017/jfm.2014.221.

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AbstractIt is known that the Eulerian and Lagrangian structures of fluid flow can be drastically different; for example, ideal fluid flow can have a trivial (static) Eulerian structure, while displaying chaotic streamlines. Here, we show that ideal flow with limited spatial smoothness (an initial vorticity that is just a little better than continuous) nevertheless has time-analytic Lagrangian trajectories before the initial limited smoothness is lost. To prove these results we use a little-known Lagrangian formulation of ideal fluid flow derived by Cauchy in 1815 in a manuscript submitted for

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14

Chen, Duowen, Zhiqi Li, Junwei Zhou, Fan Feng, Tao Du, and Bo Zhu. "Solid-Fluid Interaction on Particle Flow Maps." ACM Transactions on Graphics 43, no. 6 (2024): 1–20. http://dx.doi.org/10.1145/3687959.

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We propose a novel solid-fluid interaction method for coupling elastic solids with impulse flow maps. Our key idea is to unify the representation of fluid and solid components as particle flow maps with different lengths and dynamics. The solid-fluid coupling is enabled by implementing two novel mechanisms: first, we developed an impulse-to-velocity transfer mechanism to unify the exchanged physical quantities; second, we devised a particle path integral mechanism to accumulate coupling forces along each flow-map trajectory. Our framework integrates these two mechanisms into an Eulerian-Lagran

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15

Lee, Yong Shin. "Development of a Process Map for Wire Drawing of Pearlitic Steel by Finite Element Analysis Coupled with Damage Evolution." Key Engineering Materials 716 (October 2016): 652–58. http://dx.doi.org/10.4028/www.scientific.net/kem.716.652.

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This work is concerned with the development of a new process map for wire drawing of pearlitic steel considering damage evolution. In this study, a ductile damage is defined as a porosity or void volume fraction and the porosity evolution model proposed by Lee and Dawson is adopted. Dilatational plastic deformation due to growth of micro voids is also considered. Correspondingly, an Eulerian finite element analysis coupled with damage evolution model is utilized in order to reflect the effects of dilatational plasticity due to growth of micro voids. Also, the accumulated damage in wire drawing

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16

Cotter, Colin. "Data assimilation on the exponentially accurate slow manifold." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1991 (2013): 20120300. http://dx.doi.org/10.1098/rsta.2012.0300.

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I describe an approach to data assimilation making use of an explicit map that defines a coordinate system on the slow manifold in the semi-geostrophic scaling in Lagrangian coordinates, and apply the approach to a simple toy system that has previously been proposed as a low-dimensional model for the semi-geostrophic scaling. The method can be extended to Lagrangian particle methods such as Hamiltonian particle–mesh and smooth-particle hydrodynamics applied to the rotating shallow-water equations, and many of the properties will remain for more general Eulerian methods. Making use of Hamiltoni

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17

Oaks, Wayne R., Jonathan Craig, Christin Duran, Fotis Sotiropoulos, and Ali Khosronejad. "On the Lagrangian dynamics of saliva particles during normal mouth breathing." Physics of Fluids 34, no. 4 (2022): 041904. http://dx.doi.org/10.1063/5.0087700.

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The flow and saliva particulate transport dynamics during normal human breathing through the mouth are simulated numerically using an Eulerian large-eddy simulation (LES) approach for the flow coupled with a Lagrangian approach for the transport of saliva particles. The coupled Eulerian–Lagrangian (EL) simulation results reveal new striking insights into the rich dynamics of the Lagrangian coherent structures (LCS) that arise from saliva particles during normal breathing. Specifically, they uncover a new time-periodic mechanism via which particles are introduced into the flow as individual bre

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18

You, Guoqiao, Changfeng Xue null, and Shaozhong Deng. "Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference Upon the Flow Map." Communications in Computational Physics 31, no. 5 (2022): 1467–88. http://dx.doi.org/10.4208/cicp.oa-2021-0193.

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19

Pullar, D. "Incorporating level set methods in Geographical Information Systems (GIS) for land-surface process modeling." Advances in Geosciences 4 (August 9, 2005): 17–22. http://dx.doi.org/10.5194/adgeo-4-17-2005.

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Abstract. Land-surface processes include a broad class of models that operate at a landscape scale. Current modelling approaches tend to be specialised towards one type of process, yet it is the interaction of processes that is increasing seen as important to obtain a more integrated approach to land management. This paper presents a technique and a tool that may be applied generically to landscape processes. The technique tracks moving interfaces across landscapes for processes such as water flow, biochemical diffusion, and plant dispersal. Its theoretical development applies a Lagrangian app

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20

Boscheri, Walter, and Michael Dumbser. "Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes." Communications in Computational Physics 14, no. 5 (2013): 1174–206. http://dx.doi.org/10.4208/cicp.181012.010313a.

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AbstractIn this article we present a new class of high order accurate Arbitrary-Eulerian-Lagrangian (ALE) one-step WENO finite volume schemes for solving nonlinear hyperbolic systems of conservation laws on moving two dimensional unstructured triangular meshes. A WENO reconstruction algorithm is used to achieve high order accuracy in space and a high order one-step time discretization is achieved by using the local space-time Galerkin predictor proposed in. For that purpose, a new element-local weak formulation of the governing PDE is adopted on moving space-time elements. The space-time basis

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21

Qian, Yu-Kun, Chang-Xia Liang, Shiqiu Peng, Shumin Chen, and Sihua Wang. "A Horizontal Index for the Influence of Upper-Level Environmental Flow on Tropical Cyclone Intensity." Weather and Forecasting 31, no. 1 (2016): 237–53. http://dx.doi.org/10.1175/waf-d-15-0091.1.

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Abstract A horizontal map of the upper-level forcing index (ULFI) is constructed to show the possible influence of upper-level large-scale environmental flow on the intensity change of tropical cyclones (TCs). The ULFI includes three commonly used diagnostics, that is, 200-hPa eddy flux convergences of both relative (REFC) and planetary angular momentum (PEFC), as well as axisymmetric absolute vorticity as a denominator that rescales the strength of the eddy forcings similar to the outflow-layer inertial stability. A simple procedure is adopted to convert these storm-relative components and th

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22

Mistry, Devesh, and Helen F. Gleeson. "Toward Programmed Complex Stress-Induced Mechanical Deformations of Liquid Crystal Elastomers." Crystals 10, no. 4 (2020): 315. http://dx.doi.org/10.3390/cryst10040315.

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We prepare a liquid crystal elastomer (LCE) with a spatially patterned liquid crystal director field from an all-acrylate LCE. Mechanical deformations of this material lead to a complex and spatially varying deformation with localised body rotations, shears and extensions. Together, these dictate the evolved shape of the deformed film. Using polarising microscopy, we map the local rotation of the liquid crystal director in Eulerian and Lagrangian frames and use these to determine rules for programming complex, stress-induced mechanical shape deformations of LCEs. Moreover, by applying a recent

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23

You, Guoqiao, and Shingyu Leung. "Eulerian Based Interpolation Schemes for Flow Map Construction and Line Integral Computation with Applications to Lagrangian Coherent Structures Extraction." Journal of Scientific Computing 74, no. 1 (2017): 70–96. http://dx.doi.org/10.1007/s10915-017-0424-9.

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24

Wang, Tianyu, Yan Du, and Minyang Wang. "Overlooked Current Estimation Biases Arising from the Lagrangian Argo Trajectory Derivation Method." Journal of Physical Oceanography 52, no. 1 (2022): 3–19. http://dx.doi.org/10.1175/jpo-d-20-0287.1.

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Abstract An Argo simulation system is used to provide synthetic Lagrangian trajectories based on the Estimating the Circulation and Climate of the Ocean Model, phase II (ECCO2). In combination with ambient Eulerian velocity at the reference layer (1000 m) from the model, quantitative metrics of the Lagrangian trajectory–derived velocities are computed. The result indicates that the biases induced by the derivation algorithm are strongly linked with ocean dynamics. In low latitudes, Ekman currents and vertically sheared geostrophic currents influence both the magnitude and the direction of the

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Khatri, H. L., S. Shrestha, and R. P. Regmi. "Air Pollution Airshed Map of the Chaurjahari Model City, Rukum West, Karnali, Nepal." Journal of Nepal Physical Society 9, no. 2 (2023): 69–77. http://dx.doi.org/10.3126/jnphyssoc.v9i2.62407.

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Chaurjahari area of the Rukum West District of the Karnali Province is one of the proposed model cities of the Government of Nepal, being developed to manage the unbalanced, rapid, haphazard, and uncontrolled urbanization in Nepal. While the model city plans to integrate physical, social, economic, and other anticipated urban facilities, no necessary thoughts on the protection of air quality seem to be given. The present study has been conceived to understand the meteorological implications of air pollution transport and the formation of pollutant fields over Chaurjahari City using weather and

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Blanco, Rocío, and Melody García-Moya. "Graph Theory for Primary School Students with High Skills in Mathematics." Mathematics 9, no. 13 (2021): 1567. http://dx.doi.org/10.3390/math9131567.

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Graph theory is a powerful representation and problem-solving tool, but it is not included in present curriculum at school levels. In this study we perform a didactic proposal based in graph theory, to provide students useful and motivational tools for problem solving. The participants, who were highly skilled in mathematics, worked on map coloring, Eulerian cycles, star polygons and other related topics. The program included six sessions in a workshop format and four creative sessions where participants invented their own mathematical challenges. Throughout the experience they applied a wide

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Sun, Yuchen, Linglai Chen, Weiyuan Zeng, Tao Du, Shiying Xiong, and Bo Zhu. "An Impulse Ghost Fluid Method for Simulating Two-Phase Flows." ACM Transactions on Graphics 43, no. 6 (2024): 1–12. http://dx.doi.org/10.1145/3687963.

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This paper introduces a two-phase interfacial fluid model based on the impulse variable to capture complex vorticity-interface interactions. Our key idea is to leverage bidirectional flow map theory to enhance the transport accuracy of both vorticity and interfaces simultaneously and address their coupling within a unified Eulerian framework. At the heart of our framework is an impulse ghost fluid method to solve the two-phase incompressible fluid characterized by its interfacial dynamics. To deal with the history-dependent jump of gauge variables across a dynamic interface, we develop a novel

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LØVGREN, ALF EMIL, YVON MADAY, and EINAR M. RØNQUIST. "GLOBAL C1 MAPS ON GENERAL DOMAINS." Mathematical Models and Methods in Applied Sciences 19, no. 05 (2009): 803–32. http://dx.doi.org/10.1142/s0218202509003632.

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In many contexts, there is a need to construct C1 maps from a given reference domain to a family of deformed domains. In our case, the motivation comes from the application of the Arbitrary Lagrangian Eulerian (ALE) method and also the reduced basis element method. In these methods, the maps are used to construct the grid-points needed on the deformed domains, and the corresponding Jacobian of the map is used to map vector fields from one domain to another. In order to keep the continuity of the mapped vector fields, the Jacobian must be continuous, and thus the maps need to be C1. In addition

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29

Pinyol, Núria M., and Mauricio Alvarado. "Novel analysis for large strains based on particle image velocimetry." Canadian Geotechnical Journal 54, no. 7 (2017): 933–44. http://dx.doi.org/10.1139/cgj-2016-0327.

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Over the last few decades, the particle image velocimetry (PIV) technique has become an interesting tool used to measure displacements in the field of experimental mechanics. This paper presents a procedure to interpret PIV displacements, measured following an Eulerian scheme, with the purpose of providing accumulated displacements, velocities, accelerations, and strains on points representing physical particles. Strains are computed as the gradient of displacements. When compared with other standard procedures already published, the presented methodology is especially well suited to interpret

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30

Rachid, Boughedaoui, El Mohri Abdennour, Achache Habib, Azzaz Mohamed, and Kermezli Tayeb. "Modelling and analysis of the impact of chatter and cutting forces on machined surfaces in milling." STUDIES IN ENGINEERING AND EXACT SCIENCES 5, no. 2 (2024): e11187. https://doi.org/10.54021/seesv5n2-581.

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The Chatter vibrations are a critical issue in milling, affecting workpiece quality and potentially damaging machines. This study analyzes the causes of chatter and proposes preventive methods. After reviewing the existing research, the transfer function is analyzed using an orthogonal cutting model, highlighting its evolution concerning system stability. A dynamic stability map is developed to help select optimal spindle speeds and cutting depths. Experiments using an innovative chatter detection device, based on noise analysis, demonstrate real-time identification of chatter, enhancing opera

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Hristova, Hristina G., and William S. Kessler. "Surface Circulation in the Solomon Sea Derived from Lagrangian Drifter Observations*." Journal of Physical Oceanography 42, no. 3 (2012): 448–58. http://dx.doi.org/10.1175/jpo-d-11-099.1.

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Abstract Velocity measurements from satellite-tracked surface drifters collected between 1994 and 2010 are used to map the surface circulation in the Solomon Sea, the last passageway for waters of subtropical origin flowing northward toward the equator, where they replenish the Pacific warm pool. Pseudo-Eulerian statistics of the drifter observations show a strong seasonal cycle in both the mean circulation and the eddy kinetic energy in the region. The circulation is characterized by a strong northward flow from June to November (the season of strong southeasterly trade winds over the Solomon

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Volkov, Denis L., and Shahriar Negahdaripour. "Implementation of the Optical Flow to Estimate the Propagation of Eddies in the South Atlantic Ocean." Remote Sensing 15, no. 15 (2023): 3894. http://dx.doi.org/10.3390/rs15153894.

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The ocean is filled with mesoscale eddies that account for most of the oceanic kinetic energy. The importance of eddies in transporting properties and energy across the ocean basins has led to numerous efforts to track their motion. Here, we implement a computer vision technique—the optical flow—to map the pathways of mesoscale eddies in the South Atlantic Ocean. The optical flow is applied to the pairs of consecutive sea surface height maps produced from a nearly 30-year-long satellite altimetry record. In contrast to other methods to estimate the eddy propagation velocity, the optical flow c

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Hong, Tran Thi My, Young-Gyu Park, and Jun Myoung Choi. "Divergence Observation in a Mesoscale Eddy during Chla Bloom Revealed in Submesoscale Satellite Currents." Remote Sensing 15, no. 4 (2023): 995. http://dx.doi.org/10.3390/rs15040995.

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Oceanic mesoscale eddies continuously regulate the horizontal and vertical transport of mass, heat, salt, carbon, and nutrients throughout the ocean system owing to their ubiquity, three-dimensionality, and long-term persistence. Although satellites have been the main platforms used to observe mesoscale eddies and chlorophyll-a (Chla) distributions, they cannot support submesoscale physical–biological interactions. Contemporary satellite observations of Eulerian velocity fields are unable to resolve submesoscale processes that govern vertical migration and mixing, which are crucial for control

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Shehu, E., L. Lomazzi, M. Giglio, and A. Manes. "Computational modeling of confined blast waves with focus on interaction with structures." IOP Conference Series: Materials Science and Engineering 1275, no. 1 (2023): 012028. http://dx.doi.org/10.1088/1757-899x/1275/1/012028.

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Abstract Blast loading is a critical extreme loading condition for most engineering structures. Modeling such scenarios is challenging due to the intrinsic non-linearities. Recent numerical methods can capture the physics governing blast waves and their interaction with structures in a more accurate way than established empirical methods. This article is intended as a proof of concept that state-of-the-art CFD and FE software can be combined to set up high-fidelity uncoupled simulations. Computational fluid dynamics is exploited in this work to map the pressure field developed during a detonat

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35

Prasad, Vinay, Salil S. Kulkarni, and Atul Sharma. "Chaotic advection in a recirculating flow: Effect of a fluid–flexible-solid interaction." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 4 (2022): 043122. http://dx.doi.org/10.1063/5.0079141.

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The present work is on laminar recirculating flow-induced deformation as well as motion of a neutrally buoyant flexible elliptical solid, resulting in Lagrangian chaos in a two-dimensional lid-driven cavity flow. Using a fully Eulerian and monolithic approach-based single-solver for the fluid flow and flexible-solid deformation, a chaotic advection study is presented for various aspect ratios [Formula: see text] ([Formula: see text]–1.0) and a constant volume fraction [Formula: see text]% of an elliptical solid at a constant Ericksen number [Formula: see text] and Reynolds number [Formula: see

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36

Kelson, Daniel D., Louis E. Abramson, Andrew J. Benson, et al. "Gravity and the non-linear growth of structure in the Carnegie-Spitzer-IMACS Redshift Survey." Monthly Notices of the Royal Astronomical Society 494, no. 2 (2020): 2628–40. http://dx.doi.org/10.1093/mnras/staa100.

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ABSTRACT A key obstacle to developing a satisfying theory of galaxy evolution is the difficulty in extending analytic descriptions of early structure formation into full non-linearity, the regime in which galaxy growth occurs. Extant techniques, though powerful, are based on approximate numerical methods whose Monte Carlo-like nature hinders intuition building. Here, we develop a new solution to this problem and its empirical validation. We first derive closed-form analytic expectations for the evolution of fixed percentiles in the real-space cosmic density distribution, averaged over represen

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37

Dyachenko, A. I., P. M. Lushnikov, and V. E. Zakharov. "Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface." Journal of Fluid Mechanics 869 (April 30, 2019): 526–52. http://dx.doi.org/10.1017/jfm.2019.219.

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We consider the Euler equations for the potential flow of an ideal incompressible fluid of infinite depth with a free surface in two-dimensional geometry. Both gravity and surface tension forces are taken into account. A time-dependent conformal mapping is used which maps the lower complex half-plane of the auxiliary complex variable $w$ into the fluid’s area, with the real line of $w$ mapped into the free fluid’s surface. We reformulate the exact Eulerian dynamics through a non-canonical non-local Hamiltonian structure for a pair of the Hamiltonian variables. These two variables are the imagi

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Sarrat, C., J. Noilhan, P. Lacarrère, et al. "CO<sub>2</sub> budgeting at the regional scale using a Lagrangian experimental strategy and meso-scale modeling." Biogeosciences 6, no. 1 (2009): 113–27. http://dx.doi.org/10.5194/bg-6-113-2009.

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Abstract. An atmospheric Lagrangian experiment for regional CO2 budgeting with aircraft measurements took place during the CarboEurope Regional Experiment Strategy campaign (CERES) in south-west France, in June 2005. The atmospheric CO2 aircraft measurements taken upstream and downstream of an active and homogeneous pine forest revealed a CO2 depletion in the same air mass, using a Lagrangian strategy. This field experiment was analyzed with a meteorological meso-scale model interactively coupled with a surface scheme, with plant assimilation, ecosystem respiration, anthropogenic CO2 emissions

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Yan, Huaming, Daniel Ramirez-Guerrero, John Lowengrub, and Min Wu. "Stress generation, relaxation and size control in confined tumor growth." PLOS Computational Biology 17, no. 12 (2021): e1009701. http://dx.doi.org/10.1371/journal.pcbi.1009701.

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Experiments on tumor spheroids have shown that compressive stress from their environment can reversibly decrease tumor expansion rates and final sizes. Stress release experiments show that nonuniform anisotropic elastic stresses can be distributed throughout. The elastic stresses are maintained by structural proteins and adhesive molecules, and can be actively relaxed by a variety of biophysical processes. In this paper, we present a new continuum model to investigate how the growth-induced elastic stresses and active stress relaxation, in conjunction with cell size control feedback machinery,

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Rautenbach, Ryan, Sebastian Hofmann, Lukas Buntkiel, et al. "Dynamics of Lagrangian Sensor Particles: The Effect of Non-Homogeneous Mass Distribution." Processes 12, no. 8 (2024): 1617. http://dx.doi.org/10.3390/pr12081617.

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The growing demand for bio-pharmaceuticals necessitates improved methods for the characterization of stirred tank reactors (STRs) and their mixing heterogeneities. Traditional Eulerian measurement approaches fall short, culminating in the use of Lagrangian Sensor Particles (LSPs) to map large-scale STRs and track the lifelines of microorganisms such as Chinese Hamster Ovary cells. This study investigates the hydrodynamic characteristics of LSPs, specifically examining the effects that the size and position of the Center of Mass (CoM) have on their flow-following capabilities. Two Lagrangian Pa

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Zhao, Yue, and Jiancheng Xu. "A Convolutional Neural Network for Compound Micro-Expression Recognition." Sensors 19, no. 24 (2019): 5553. http://dx.doi.org/10.3390/s19245553.

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Human beings are particularly inclined to express real emotions through micro-expressions with subtle amplitude and short duration. Though people regularly recognize many distinct emotions, for the most part, research studies have been limited to six basic categories: happiness, surprise, sadness, anger, fear, and disgust. Like normal expressions (i.e., macro-expressions), most current research into micro-expression recognition focuses on these six basic emotions. This paper describes an important group of micro-expressions, which we call compound emotion categories. Compound micro-expressions

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Zandian, A., W. A. Sirignano, and F. Hussain. "Vorticity dynamics in a spatially developing liquid jet inside a co-flowing gas." Journal of Fluid Mechanics 877 (August 27, 2019): 429–70. http://dx.doi.org/10.1017/jfm.2019.596.

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A three-dimensional transient round liquid jet within a low-speed coaxial outer gas flow is numerically simulated and analysed via vortex dynamics ($\unicode[STIX]{x1D706}_{2}$ analysis). Two types of surface deformations are distinguished, which are separated by a large indentation on the jet stem. First, there are those inside the recirculation zone behind the leading cap – directly affecting the cap dynamics and well explained by the local vortices. Second, deformations upstream of the cap are mainly driven by the Kelvin–Helmholtz (KH) instability, unaffected by the vortices in the behind-t

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Maksyutov, Shamil, Tomohiro Oda, Makoto Saito, et al. "Technical note: A high-resolution inverse modelling technique for estimating surface CO<sub>2</sub> fluxes based on the NIES-TM–FLEXPART coupled transport model and its adjoint." Atmospheric Chemistry and Physics 21, no. 2 (2021): 1245–66. http://dx.doi.org/10.5194/acp-21-1245-2021.

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Abstract. We developed a high-resolution surface flux inversion system based on the global Eulerian–Lagrangian coupled tracer transport model composed of the National Institute for Environmental Studies (NIES) transport model (TM; collectively NIES-TM) and the FLEXible PARTicle dispersion model (FLEXPART). The inversion system is named NTFVAR (NIES-TM–FLEXPART-variational) as it applies a variational optimization to estimate surface fluxes. We tested the system by estimating optimized corrections to natural surface CO2 fluxes to achieve the best fit to atmospheric CO2 data collected by the glo

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David, M. Jimreeves, Manikandan Mathur, R. N. Govardhan, and J. H. Arakeri. "The kinematic genesis of vortex formation due to finite rotation of a plate in still fluid." Journal of Fluid Mechanics 839 (February 2, 2018): 489–524. http://dx.doi.org/10.1017/jfm.2017.908.

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We present a combined experimental and numerical study of an idealized model of the propulsive stroke of the turning manoeuvre in fish. Specifically, we use the framework of Lagrangian coherent structures (LCSs) to describe the kinematics of the flow that results from a thin plate performing a large angle rotation about its tip in still fluid. Temporally and spatially well-resolved velocity fields are obtained using a two-dimensional, incompressible finite-volume solver, and are validated by comparisons with experimentally measured velocity fields and alternate numerical simulations. We then i

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Pironneau, Olivier. "Parameter identification of a fluid-structure system by deep-learning with an Eulerian formulation." Methods and Applications of Analysis 26, no. 3 (2019): 281–90. http://dx.doi.org/10.4310/maa.2019.v26.n3.a5.

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VOLKOV, V. I., V. A. GORDEYCHUK, N. S. ES'KOV, and O. M. KOZYREV. "Numerical simulation by the MAH-3 code of the interfaces using an unstructured mesh of markers." Laser and Particle Beams 18, no. 2 (2000): 197–205. http://dx.doi.org/10.1017/s0263034600182072.

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The paper addresses Rayleigh–Taylor instability (RTI) problems and presents a method of describing an interface with markers on a Eulerian mesh, which is implemented in the MAH-3 code. The proposed method allows a more accurate description of the evolution of the interface caused by Rayleigh–Taylor perturbations and preserves symmetry of the interface under appropriate symmetry of the problem (planar, cylindrical, and spherical). The method employs an unstructured triangular mesh of makers. Method capabilities are demonstrated on 2D and 3D Rayleigh–Taylor instability problems.

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Pořízková, Petra, Karel Kozel, and Jaromír Horáček. "Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis." Journal of Applied Mathematics 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/545120.

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This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The flow is described by the system of Navier-Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor-corrector Mac-Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. Due to th

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Dagestad, Knut-Frode, Johannes Röhrs, Øyvind Breivik, and Bjørn Ådlandsvik. "OpenDrift v1.0: a generic framework for trajectory modelling." Geoscientific Model Development 11, no. 4 (2018): 1405–20. http://dx.doi.org/10.5194/gmd-11-1405-2018.

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Abstract. OpenDrift is an open-source Python-based framework for Lagrangian particle modelling under development at the Norwegian Meteorological Institute with contributions from the wider scientific community. The framework is highly generic and modular, and is designed to be used for any type of drift calculations in the ocean or atmosphere. A specific module within the OpenDrift framework corresponds to a Lagrangian particle model in the traditional sense. A number of modules have already been developed, including an oil drift module, a stochastic search-and-rescue module, a pelagic egg mod

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Vallés-Pérez, David, Susana Planelles, and Vicent Quilis. "On the accretion history of galaxy clusters: temporal and spatial distribution." Monthly Notices of the Royal Astronomical Society 499, no. 2 (2020): 2303–18. http://dx.doi.org/10.1093/mnras/staa3035.

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ABSTRACT We analyse the results of an Eulerian adaptive mesh refinement cosmological simulation in order to quantify the mass growth of galaxy clusters, exploring the differences between dark matter and baryons. We have determined the mass assembly histories (MAHs) of each of the mass components and computed several proxies for the instantaneous mass accretion rate (MAR). The mass growth of both components is clearly dominated by the contribution of major mergers, but high MARs can also occur during smooth accretion periods. We explored the correlations between MARs, merger events, and cluster

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Escobedo-Gordillo, Andrés, Jorge Brieva, and Ernesto Moya-Albor. "Non-Contact Oxygen Saturation Estimation Using Deep Learning Ensemble Models and Bayesian Optimization." Technologies 13, no. 7 (2025): 309. https://doi.org/10.3390/technologies13070309.

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Monitoring Peripheral Oxygen Saturation (SpO2) is an important vital sign both in Intensive Care Units (ICUs), during surgery and convalescence, and as part of remote medical consultations after of the COVID-19 pandemic. This has made the development of new SpO2-measurement tools an area of active research and opportunity. In this paper, we present a new Deep Learning (DL) combined strategy to estimate SpO2 without contact, using pre-magnified facial videos to reveal subtle color changes related to blood flow and with no calibration per subject required. We applied the Eulerian Video Magnifica

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