Relevant bibliographies by topics / Eulerian map

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  2. Dissertations / Theses
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  4. Conference papers
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Academic literature on the topic 'Eulerian map'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Eulerian map"

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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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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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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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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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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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Dissertations / Theses on the topic "Eulerian map"

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Serrano, Luis. "Transitive Factorizations of Permutations and Eulerian Maps in the Plane." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1128.

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The problem of counting ramified covers of a Riemann surface up to homeomorphism was proposed by Hurwitz in the late 1800's. This problem translates combinatorially into factoring a permutation with a specified cycle type, with certain conditions on the cycle types of the factors, such as minimality and transitivity. Goulden and Jackson have given a proof for the number of minimal, transitive factorizations of a permutation into transpositions. This proof involves a partial differential equation for the generating series, called the Join-Cut equation. Furthermore, this argument is
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Book chapters on the topic "Eulerian map"

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Yanpei, Liu. "Eulerian Maps." In Enumerative Theory Of Maps. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4383-7_5.

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Wilson, Robin. "6. Graphs." In Combinatorics: A Very Short Introduction. Oxford University Press, 2016. http://dx.doi.org/10.1093/actrade/9780198723493.003.0006.

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Graph theory is about collections of points that are joined in pairs, such as a road map with towns connected by roads or a molecule with atoms joined by chemical bonds. ‘Graphs’ revisits the Königsberg bridges problem, the knight’s tour problem, the Gas–Water–Electricity problem, the map-colour problem, the minimum connector problem, and the travelling salesman problem and explains how they can all be considered as problems in graph theory. It begins with an explanation of a graph and describes the complete graph, the complete bipartite graph, and the cycle graph, which are all simple graphs.
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Mangaiyarkkarasi, J., J. Shanthalakshmi Revathy, and Shilpa Mehta. "Introduction to Graph Theory." In Neural Networks and Graph Models for Traffic and Energy Systems. IGI Global, 2025. https://doi.org/10.4018/979-8-3373-0290-4.ch003.

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Graph theory is a branch of mathematics that defines the study of graphs and is now a significant asset to analyzing various systems in various fields. This chapter gives an overview of the subject which includes vertices, edges, paths, cycles, and others like trees, bipartite, complete and planar graphs. Common measures and descriptors, including vertex degrees, graph connection, components, and adjacency and incidence maps, are considered to form a reference base for graph structures. The chapter also covers special concepts like Eulerian paths & ways and its focus on these types of reco
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Conference papers on the topic "Eulerian map"

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Shimada, T., K. Nishiguchi, C. Peco, S. Okazawa, and M. Tsubokura. "Eulerian Formulation Using Lagrangian Marker Particles with Reference Map Technique for Fluid-structure Interaction Problem." In 9th edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering. CIMNE, 2021. http://dx.doi.org/10.23967/coupled.2021.025.

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Morgan, Nathaniel R., Jacob Moore, Jan Kiviaho, and Adrian Diaz. "SWAGE: A 3D Arbitrary-Order Element Mesh Library to Support Diverse Numerical Methods." In ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/detc2022-89562.

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Abstract This paper presents the details on a new open-source swift arbitrary Lagrangian Eulerian (SWAGE) software library that supports diverse numerical methods on unstructured, arbitrarily moving curvilinear meshes — from stationary (Eulerian) to moving at the fluid velocity (Lagrangian), and anywhere in between (arbitrary Eulerian Lagrangian). Each element of the unstructured mesh in the physical coordinate system is represented by a spatial map from a single reference element. Foundational numerical methods are provided in the reference element that are key to solving diverse types of phy
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Gnanaskandan, Aswin, Xiaolong Deng, Chao-Tsung Hsiao, and Georges Chahine. "Modeling Microbubble Microvessel Interaction for Sonoporation Application." In ASME 2020 Fluids Engineering Division Summer Meeting collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fedsm2020-20407.

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Abstract Modeling the dynamics of microbubbles inside confined spaces has many potential applications in biomedicine, sonoporation being one classic example. Sonoporation is the permeabilization of a blood vessel’s endothelial cell membrane by acoustic waves in order to non-invasively deliver large-sized drug molecules into cells for therapeutic applications. By controlled activation of ultrasound contrast agents (UCA) in a microvessel, one can achieve better permeabilization without causing permanent damage associated with high intensity ultrasound. This paper considers numerically, the fluid
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Nocivelli, Lorenzo, Junhao Yan, Kaushik Saha, Gina M. Magnotti, Chia-Fon Lee, and Sibendu Som. "Effect of Ambient Pressure on the Behavior of Single-Component Fuels in a Gasoline Multi-Hole Injector." In ASME 2019 Internal Combustion Engine Division Fall Technical Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/icef2019-7258.

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Abstract The injection characteristics of neat ethanol and pure iso-octane are studied under different ambient pressure and temperature conditions. Injection under flash-boiling conditions can enhance liquid atomization and evaporation, providing the possibility of improvement in the fuel/air mixing. These super-heated conditions often introduce phenomena that are not taken into account in the standard modeling of sprays for engine applications. The present work proposes a numerical investigation of the behavior of Engine Combustion Network’s 8-hole spray-G injector, starting at the subcooled
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Baschuk, J. J., Alan West, and B. W. Leitch. "Small Scale Burst Facility: Experimental Investigation of Fluid-Structure Interaction in a PHWR." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97422.

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The Pressurized Heavy Water Reactor (PHWR) is based on natural uranium fuel and heavy water moderator. A unique feature of the PHWR is the horizontal fuel channel that allows for on-line re-fuelling and fuel management. A fuel channel consists of two concentric tubes, each approximately 6 meters long. The inner tube, known as the pressure tube, contains the uranium fuel bundles and the pressurized (∼10 MPa) primary coolant. The outer tube, known as the calandria tube, separates the heavy water moderator (∼70°C) from the pressure tube (∼300°C). A potential accident scenario is the bursting of a
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Torczynski, John R., Timothy J. O’Hern, Jonathan R. Clausen, and Timothy P. Koehler. "Gas-Induced Motion of an Object in a Liquid-Filled Housing During Vibration: Part I — Analysis." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69022.

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Models and simulations are employed to analyze the motion of a spring-supported piston in a vibrated liquid-filled cylinder. The piston motion is damped by forcing liquid through a narrow gap between a hole through the piston and a post fixed to the housing. As the piston moves, the length of this gap changes, so the piston damping coefficient depends on the piston position. This produces a nonlinear damper, even for highly viscous flow. When gas is absent, the vibration response is overdamped. However, adding a little gas changes the response of this spring-mass-damper system to vibration. Du
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Hojati, S. Alireza, and Pedram Hanafizadeh. "Effect of Inclination Pipe Angle on Oil-Water Two Phase Flow Patterns and Pressure Loss." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20083.

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The flow patterns in two phase and multi-phase flows is a significant factor which influences many other parameters such as drag force, drag coefficient and pressure drop in pipe lines. One of the major streams in the gas and oil industries is oil-water two phase flow. The main flow patterns in oil-water flows are bubbly, slug, dual continuous, stratified and annular. In the present work flow patterns in two phase oil-water flow were investigated in a 0.5in diameter pipe with length of 2m. 3D simulation was used for this pipe and six types of mesh grid were used to investigate mesh independenc
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Sherman, William, and Eric Loth. "Multiphase Flows Rendered in Virtual Reality." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45200.

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A virtual reality (VR) technique has been developed to allow user immersion (stereo-graphic rendering, user tracking, and object interactivity) in generic unsteady three-dimensional multi-phase flow data sets. This article describes the structure and logic used to design and construct a VR technique that employs a multi-phase flow-field computed a priori as an input (i.e. simulations are conducted beforehand with a researcher’s multi-phase CFD code). The input field for this flow visualization is divided into two parts: the Eulerian three-dimensional grid nodes and velocities for the continuou
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Nanal, Narendra, Mark Christon, David Hensinger, and Lucy Zhang. "Non-intrusive coupling of multi-physics codes for Eulerian-Lagrangian solid-solid interaction using Immersed Finite Element Method." In Proposed for presentation at the Engineering Mechanics Institute Conference 2022 held May 31-June 3, 2022 in Baltimore, Maryland. US DOE, 2022. http://dx.doi.org/10.2172/2003372.

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Ma, Jingsen, Aswin Gnanaskandan, Chao-Tsung Hsiao, and Georges L. Chahine. "MPI Parallelization for Two-Way Coupled Euler-Lagrange Simulation of Microbubble Enhanced HIFU." In ASME 2020 Fluids Engineering Division Summer Meeting collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fedsm2020-20404.

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Abstract Microbubble enhanced High Intensity Focused Ultrasound (HIFU) is of great interest to tissue ablation for tumor treatment such as in liver and brain cancers, in which ultrasonic contrast agent microbubbles are injected to the targeted region to promote local heating while reducing pre-focal damage. To accurately characterize the acoustic and thermal fields during this process, a compressible Euler-Lagrange model is used. The non-linear ultrasound field is modeled using compressible N-S equations on an Eulerian grid, while the microbubbles are tracked as discrete singularities in a Lag
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Reports on the topic "Eulerian map"

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Kubilay, Aytaç, John Bourcet, Jan Carmeliet, and Dominique Derome. How to predict wind driven rain in a changing climate? Department of the Built Environment, 2023. http://dx.doi.org/10.54337/aau541649835.

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We are nowadays confronted with changes in moisture-related durability problems arising from climate change. As one example, building facades of historical buildings that before were hardly exposed to frost damage, may in future be exposed to an increase in frost-thaw cycling leading to a higher risk for moisture-related damage. An essential step in hygrothermal and durability analysis is the prediction of wind-driven rain (WDR). A computational fluid dynamics (CFD) Eulerian multiphase model provides WDR catch ratio charts. Building further on this work, methods are developed to predict WDR lo
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Ray, Laura, Madeleine Jordan, Steven Arcone, et al. Velocity field in the McMurdo shear zone from annual ground penetrating radar imaging and crevasse matching. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/42623.

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The McMurdo shear zone (MSZ) is strip of heavily crevassed ice oriented in the south-north direction and moving northward. Previous airborne surveys revealed a chaotic crevasse structure superimposed on a set of expected crevasse orientations at 45 degrees to the south-north flow (due to shear stress mechanisms). The dynamics that produced this chaotic structure are poorly understood. Our purpose is to present our field methodology and provide field data that will enable validation of models of the MSZ evolution, and here, we present a method for deriving a local velocity field from ground pen
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Dinovitzer. L52303 Development of Techniques to Assess the Long-Term Integrity of Wrinkled Pipeline. Pipeline Research Council International, Inc. (PRCI), 2009. http://dx.doi.org/10.55274/r0010332.

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The objective of the project was to develop a numerical model than may be used to predict the wrinkle formation and post formation behavior of a pipeline considering the effect of soil confinement and define the specifications for the development of a comprehensive wrinkle integrity assessment process. The result of this research is the development of wrinkle assessment techniques that could be used directly or could be used to codify maintenance guidelines. This project focused specifically on the pipe soil interaction modeling wrinkle formation as a result of the relative movement of the pip
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