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Journal articles on the topic 'Eulerian-Lagrangian'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 May 2025

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1

Farooqi, Muhammad Nufail, Daulet Izbassarov, Metin Muradoğlu, and Didem Unat. "Communication analysis and optimization of 3D front tracking method for multiphase flow simulations." International Journal of High Performance Computing Applications 33, no. 1 (2017): 67–80. http://dx.doi.org/10.1177/1094342017694426.

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This paper presents a scalable parallelization of an Eulerian–Lagrangian method, namely the three-dimensional front tracking method, for simulating multiphase flows. Operating on Eulerian–Lagrangian grids makes the front tracking method challenging to parallelize and optimize because different types of communication (Lagrangian–Eulerian, Eulerian–Eulerian, and Lagrangian–Lagrangian) should be managed. In this work, we optimize the data movement in both the Eulerian and Lagrangian grids and propose two different strategies for handling the Lagrangian grid shared by multiple subdomains. Moreover

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2

Mair, Hans U. "Review: Hydrocodes for Structural Response to Underwater Explosions." Shock and Vibration 6, no. 2 (1999): 81–96. http://dx.doi.org/10.1155/1999/587105.

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The applicability of the various hydrocode methodologies (Lagrangian, Eulerian, Coupled Eulerian–Lagrangian, and Arbitrary Lagrangian–Eulerian) for structural response to underwater explosions is reviewed. Only codes employing “structural elements” are realistically applicable to the analysis of thin-walled structural response to underwater explosions.

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Mardani, Neda, Kabir Suara, Helen Fairweather, Richard Brown, Adrian McCallum, and Roy C. Sidle. "Improving the Accuracy of Hydrodynamic Model Predictions Using Lagrangian Calibration." Water 12, no. 2 (2020): 575. http://dx.doi.org/10.3390/w12020575.

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While significant studies have been conducted in Intermittently Closed and Open Lakes and Lagoons (ICOLLs), very few have employed Lagrangian drifters. With recent attention on the use of GPS-tracked Lagrangian drifters to study the hydrodynamics of estuaries, there is a need to assess the potential for calibrating models using Lagrangian drifter data. Here, we calibrated and validated a hydrodynamic model in Currimundi Lake, Australia using both Eulerian and Lagrangian velocity field measurements in an open entrance condition. The results showed that there was a higher level of correlation (R

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Xie, Xuping, Peter J. Nolan, Shane D. Ross , Changhong Mou , and Traian Iliescu. "Lagrangian Reduced Order Modeling Using Finite Time Lyapunov Exponents." Fluids 5, no. 4 (2020): 189. http://dx.doi.org/10.3390/fluids5040189.

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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 accurate ROMs. In this paper, we use the latter. We propose two new Lagrangian inner products that we use together with Eulerian and Lagrangian data to construct two new Lagrangian ROMs, which we denote α-ROM and λ-ROM. We show that both Lagrangian ROMs are more accurate than the standard Eulerian ROMs, that is, ROMs that use standard Eulerian in

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5

Stewart, Alan E. "Eulerian Weather, Lagrangian Lives." Bulletin of the American Meteorological Society 102, no. 2 (2021): 109–10. http://dx.doi.org/10.1175/bams-d-20-0137.1.

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6

Fan, Ye, Joshua Litven, David I. W. Levin, and Dinesh K. Pai. "Eulerian-on-lagrangian simulation." ACM Transactions on Graphics 32, no. 3 (2013): 1–9. http://dx.doi.org/10.1145/2487228.2487230.

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7

Kaas, E., B. Sørensen, P. H. Lauritzen, and A. B. Hansen. "A hybrid Eulerian–Lagrangian numerical scheme for solving prognostic equations in fluid dynamics." Geoscientific Model Development 6, no. 6 (2013): 2023–47. http://dx.doi.org/10.5194/gmd-6-2023-2013.

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Abstract. A new hybrid Eulerian–Lagrangian numerical scheme (HEL) for solving prognostic equations in fluid dynamics is proposed. The basic idea is to use an Eulerian as well as a fully Lagrangian representation of all prognostic variables. The time step in Lagrangian space is obtained as a translation of irregularly spaced Lagrangian parcels along downstream trajectories. Tendencies due to other physical processes than advection are calculated in Eulerian space, interpolated, and added to the Lagrangian parcel values. A directionally biased mixing amongst neighboring Lagrangian parcels is int

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Kaas, E., B. Sørensen, P. H. Lauritzen, and A. B. Hansen. "A hybrid Eulerian Lagrangian numerical scheme for solving prognostic equations in fluid dynamics." Geoscientific Model Development Discussions 6, no. 3 (2013): 3819–91. http://dx.doi.org/10.5194/gmdd-6-3819-2013.

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Abstract. A new hybrid Eulerian Lagrangian numerical scheme (HEL) for solving prognostic equations in fluid dynamics is proposed. The basic idea is to use an Eulerian as well as a fully Lagrangian representation of all prognostic variables. The time step in Lagrangian space is obtained as a translation of irregularly spaced Lagrangian parcels along downstream trajectories. Tendencies due to other physical processes than advection are calculated in Eulerian space, interpolated, and added to the Lagrangian parcel values. A directionally biased mixing amongst neighboring Lagrangian parcels is int

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9

Shaydurov, Vladimir V., and Viktoriya S. Petrakova. "Semi-Lagrangian approximations of the transfer operator in divergent form." Russian Journal of Numerical Analysis and Mathematical Modelling 39, no. 3 (2024): 157–64. http://dx.doi.org/10.1515/rnam-2024-0015.

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Abstract The paper demonstrates two approaches to constructing monotonic difference schemes for the transfer equation in divergent form from the family of semi-Lagrangian methods: Eulerian–Lagrangian and Lagrangian–Eulerian. Within each approach, a monotonic conservative difference scheme is proposed. It is shown that within the framework of the Lagrangian–Eulerian approach, based on the use of curvilinear grids formed by the characteristics of the approximated transfer operator, it is possible to construct monotonic difference schemes of second order accuracy.

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10

Serra, Mattia, and George Haller. "Forecasting long-lived Lagrangian vortices from their objective Eulerian footprints." Journal of Fluid Mechanics 813 (January 19, 2017): 436–57. http://dx.doi.org/10.1017/jfm.2016.865.

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We derive a non-dimensional metric to quantify the expected Lagrangian persistence of objectively defined Eulerian vortices in two-dimensional unsteady flows. This persistence metric is the averaged deviation of the vorticity from its spatial mean over the Eulerian vortex, normalized by the instantaneous material leakage from the Eulerian vortex. The metric offers a model- and frame-independent tool for uncovering the instantaneous Eulerian signature of long-lived Lagrangian vortices. Using satellite-derived ocean velocity data, we show that Lagrangian vortex-persistence predictions by our met

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11

Wang, Yukun, Jingnan Sun, Meng Zhao, et al. "Numerical Study of Indoor Oil Mist Particle Concentration Distribution in an Industrial Factory Using the Eulerian–Eulerian and Eulerian–Lagrangian Methods." Fluids 8, no. 10 (2023): 264. http://dx.doi.org/10.3390/fluids8100264.

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The transport and prediction of the concentration of particles in confined spaces are crucial for human well-being; this has become particularly evident during the current worldwide pandemic. Computational fluid dynamics (CFD) has been widely used for such predictions, relying on Eulerian–Eulerian (EE) and Eulerian–Lagrangian (EL) models to study particle flow. However, there is a lack of research on industrial factories. In this study, a scaled laboratory in an industrial factory was established for oil mist particles in a machining factory, and oil mist dispersion experiments were conducted

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12

Floryan, J. M., and H. Rasmussen. "Numerical Methods for Viscous Flows With Moving Boundaries." Applied Mechanics Reviews 42, no. 12 (1989): 323–41. http://dx.doi.org/10.1115/1.3152416.

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A review of numerical algorithms for the analysis of viscous flows with moving interfaces is presented. The review is supplemented with a discussion of methods that have been introduced in the context of other classes of free boundary problems, but which can be generalized to viscous flows with moving interfaces. The available algorithms can be classified as Eulerian, Lagrangian, and mixed, ie, Eulerian-Lagrangian. Eulerian algorithms consist of fixed grid methods, adaptive grid methods, mapping methods, and special methods. Lagrangian algorithms consist of strictly Lagrangian methods, Lagrang

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13

Chen, K. C. "Constructing Poisson and Dissipative Brackets of Mixtures by using Lagrangian-to-Eulerian Transformation." Journal of Mechanics 26, no. 2 (2010): 219–28. http://dx.doi.org/10.1017/s1727719100003075.

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AbstractThis paper aims to construct the bracket formalism of mixture continua by using the method of Lagrangian- to-Eulerian (LE) transformation. The LE approach first builds up the transformation relations between the Eulerian state variables and the Lagrangian canonical variables, and then transforms the bracket in Lagrangian form to the bracket in Eulerian form. For the conservative part of the bracket formalism, this study systematically generates the noncanonical Poisson brackets of a two-component mixture. For the dissipative part, we deduce the Eulerian-variable-based dissipative brack

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14

Rossi, Daniele, Alberto Maurizi, and Maurizio Fantini. "IL-GLOBO (1.0) – development and verification of the moist convection module." Geoscientific Model Development 9, no. 2 (2016): 789–97. http://dx.doi.org/10.5194/gmd-9-789-2016.

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Abstract. The development and verification of the convective module of IL-GLOBO, a Lagrangian transport model coupled online with the Eulerian general circulation model GLOBO, is described. The online-coupling promotes the full consistency between the Eulerian and the Lagrangian components of the model. The Lagrangian convective scheme is based on the Kain–Fritsch convective parametrization used in GLOBO. A transition probability matrix is computed using the fluxes provided by the Eulerian KF parametrization. Then, the convective redistribution of Lagrangian particles is implemented via a Mont

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Rossi, D., A. Maurizi, and M. Fantini. "IL-GLOBO (1.0) – development and verification of the moist convection module." Geoscientific Model Development Discussions 8, no. 9 (2015): 8239–61. http://dx.doi.org/10.5194/gmdd-8-8239-2015.

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Abstract. The development and verification of the convective module of IL-GLOBO, a Lagrangian transport model coupled online with the Eulerian general circulation model GLOBO, is described. The online-coupling promotes the full consistency between the Eulerian and the Lagrangian components of the model. The Lagrangian convective scheme is derived based on the Kain–Fritsch convective parameterisation used in GLOBO. A transition probability matrix is computed using the fluxes provided by the Eulerian KF parameterisation. Then, the convection redistribution of Lagrangian particles is implemented

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16

Alam, Jahrul M., and John C. Lin. "Toward a Fully Lagrangian Atmospheric Modeling System." Monthly Weather Review 136, no. 12 (2008): 4653–67. http://dx.doi.org/10.1175/2008mwr2515.1.

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Abstract An improved treatment of advection is essential for atmospheric transport and chemistry models. Eulerian treatments are generally plagued with instabilities, unrealistic negative constituent values, diffusion, and dispersion errors. A higher-order Eulerian model improves one error at significant cost but magnifies another error. The cost of semi-Lagrangian models is too high for many applications. Furthermore, traditional trajectory “Lagrangian” models do not solve both the dynamical and tracer equations simultaneously in the Lagrangian frame. A fully Lagrangian numerical model is, th

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Dosio, Alessandro, Jordi Vilá Guerau de Arellano, Albert A. M. Holtslag, and Peter J. H. Builtjes. "Relating Eulerian and Lagrangian Statistics for the Turbulent Dispersion in the Atmospheric Convective Boundary Layer." Journal of the Atmospheric Sciences 62, no. 4 (2005): 1175–91. http://dx.doi.org/10.1175/jas3393.1.

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Abstract Eulerian and Lagrangian statistics in the atmospheric convective boundary layer (CBL) are studied by means of large eddy simulation (LES). Spectra analysis is performed in both the Eulerian and Lagrangian frameworks, autocorrelations are calculated, and the integral length and time scales are derived. Eulerian statistics are calculated by means of spatial and temporal analysis in order to derive characteristic length and time scales. Taylor’s hypothesis of frozen turbulence is investigated, and it is found to be satisfied in the simulated flow. Lagrangian statistics are derived by tra

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18

McKee, Darren C., Scott C. Doney, Alice Della Penna, et al. "Lagrangian and Eulerian time and length scales of mesoscale ocean chlorophyll from Bio-Argo floats and satellites." Biogeosciences 19, no. 24 (2022): 5927–52. http://dx.doi.org/10.5194/bg-19-5927-2022.

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Abstract. Phytoplankton form the base of marine food webs and play an important role in carbon cycling, making it important to quantify rates of biomass accumulation and loss. As phytoplankton drift with ocean currents, rates should be evaluated in a Lagrangian as opposed to an Eulerian framework. In this study, we quantify the Lagrangian (from Bio-Argo floats and surface drifters with satellite ocean colour) and Eulerian (from satellite ocean colour and altimetry) statistics of mesoscale chlorophyll and velocity by computing decorrelation time and length scales and relate the frames by scalin

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19

Joda, Akram, Zhongmin Jin, Jon Summers, and Sotirios Korossis. "Comparison of a fixed-grid and arbitrary Lagrangian–Eulerian methods on modelling fluid–structure interaction of the aortic valve." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 233, no. 5 (2019): 544–53. http://dx.doi.org/10.1177/0954411919837568.

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This study was aimed at assessing the robustness of a fixed-grid fluid–structure interaction method (Multi-Material Arbitrary Lagrangian–Eulerian) to modelling the two-dimensional native aortic valve dynamics and comparing it to the Arbitrary Lagrangian–Eulerian method. For the fixed-grid method, the explicit finite element solver LS-DYNA was utilized, where two independent meshes for the fluid and structure were generated and the penalty method was used to handle the coupling between the fluid and structure domains. For the Arbitrary Lagrangian–Eulerian method, the implicit finite element sol

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20

Weidner, Nicholas J., Kyle Piddington, David I. W. Levin, and Shinjiro Sueda. "Eulerian-on-lagrangian cloth simulation." ACM Transactions on Graphics 37, no. 4 (2018): 1–11. http://dx.doi.org/10.1145/3197517.3201281.

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21

Castaing, B. "Lagrangian and Eulerian velocity intermittency." European Physical Journal B 29, no. 3 (2002): 357–58. http://dx.doi.org/10.1140/epjb/e2002-00319-2.

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22

Idelsohn, Sergio, Eugenio Oñate, Norberto Nigro, Pablo Becker, and Juan Gimenez. "Lagrangian versus Eulerian integration errors." Computer Methods in Applied Mechanics and Engineering 293 (August 2015): 191–206. http://dx.doi.org/10.1016/j.cma.2015.04.003.

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23

Bokhove, Onno, and Marcel Oliver. "Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2073 (2006): 2575–92. http://dx.doi.org/10.1098/rspa.2006.1656.

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Parcel Eulerian–Lagrangian Hamiltonian formulations have recently been used in structure-preserving numerical schemes, asymptotic calculations and in alternative explanations of fluid parcel (in)stabilities. A parcel formulation describes the dynamics of one fluid parcel with a Lagrangian kinetic energy but an Eulerian potential evaluated at the parcel's position. In this paper, we derive the geometric link between the parcel Eulerian–Lagrangian formulation and well-known variational and Hamiltonian formulations for three models of ideal and geophysical fluid flow: generalized two-dimensional

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Levine, J. G., A. R. MacKenzie, O. J. Squire, et al. "Isoprene chemistry in pristine and polluted Amazon environments: Eulerian and Lagrangian model frameworks and the strong bearing they have on our understanding of surface ozone and predictions of rainforest exposure to this priority pollutant." Atmospheric Chemistry and Physics Discussions 15, no. 17 (2015): 24251–310. http://dx.doi.org/10.5194/acpd-15-24251-2015.

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Abstract. This study explores our ability to simulate the atmospheric chemistry stemming from isoprene emissions in pristine and polluted regions of the Amazon basin. We confront two atmospheric chemistry models – a global, Eulerian chemistry-climate model (UM-UKCA) and a trajectory-based Lagrangian model (CiTTyCAT) – with recent airborne measurements of atmospheric composition above the Amazon made during the SAMBBA campaign of 2012. The simulations with the two models prove relatively insensitive to the chemical mechanism employed; we explore one based on the Mainz Isoprene Mechanism, and an

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Dziekan, Piotr, and Piotr Zmijewski. "University of Warsaw Lagrangian Cloud Model (UWLCM) 2.0: adaptation of a mixed Eulerian–Lagrangian numerical model for heterogeneous computing clusters." Geoscientific Model Development 15, no. 11 (2022): 4489–501. http://dx.doi.org/10.5194/gmd-15-4489-2022.

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Abstract. A numerical cloud model with Lagrangian particles coupled to an Eulerian flow is adapted for distributed memory systems. Eulerian and Lagrangian calculations can be done in parallel on CPUs and GPUs, respectively. The fraction of time when CPUs and GPUs work simultaneously is maximized at around 80 % for an optimal ratio of CPU and GPU workloads. The optimal ratio of workloads is different for different systems because it depends on the relation between computing performance of CPUs and GPUs. GPU workload can be adjusted by changing the number of Lagrangian particles, which is limite

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Kim, Yong-Hoon, and Young-Gyu Park. "A Review of CO2 Plume Dispersion Modeling for Application to Offshore Carbon Capture and Storage." Journal of Marine Science and Engineering 12, no. 1 (2023): 38. http://dx.doi.org/10.3390/jmse12010038.

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The exponential increase in greenhouse gas emissions necessitates urgent measures to mitigate climate change impacts. Carbon capture and storage (CCS) has emerged as a promising solution, capturing CO2 from industrial processes and storing it underground. However, CCS implementation poses risks that demand sophisticated modeling. This review focuses on the numerical modeling of CO2 plume dispersion from reservoir leaks during offshore CCS projects, including near- and far-field modeling and the comparison between Lagrangian and Eulerian modeling in particular. Near-field modeling examines CO2

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Zhang, Jian, Wen Xian Tang, Wen Long Qin, and Chao Gao. "Advanced Numerical Analysis of Jack-Up Spudcan Penetration in Layered Sandy Soil." Applied Mechanics and Materials 339 (July 2013): 628–31. http://dx.doi.org/10.4028/www.scientific.net/amm.339.628.

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Quasi-static numerical model of jack-up spudcan penetration in layered sandy soil was presented in this paper, based on explicit procedure. Three different methods, such as Lagrangian analysis, Lagrangian analysis with distortion control and Lagrangian-Eulerian analysis, were used to control soil negative element volumes or other excessive distortion. The results showed that, reasonable and stable numerical results could be solved by Lagrangian-Eulerian analysis. The magnitude of plastic strain, however, decreases at first and then increases to the maximum.

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Belikov, D. A., S. Maksyutov, A. Yaremchuk, et al. "Adjoint of the Global Eulerian–Lagrangian Coupled Atmospheric transport model (A-GELCA v1.0): development and validation." Geoscientific Model Development Discussions 8, no. 7 (2015): 5983–6019. http://dx.doi.org/10.5194/gmdd-8-5983-2015.

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Abstract. We present the development of the Adjoint of the Global Eulerian–Lagrangian Coupled Atmospheric (A-GELCA) model that consists of the National Institute for Environmental Studies (NIES) model as an Eulerian three-dimensional transport model (TM), and FLEXPART (FLEXible PARTicle dispersion model) as the Lagrangian plume diffusion model (LPDM). The tangent and adjoint components of the Eulerian model were constructed directly from the original NIES TM code using an automatic differentiation tool known as TAF (Transformation of Algorithms in Fortran; http://www.FastOpt.com), with additio

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TAN, V. B. C., and T. BELYTSCHKO. "BLENDED MESH METHODS FOR FLUID-STRUCTURE INTERACTION." International Journal of Computational Methods 01, no. 02 (2004): 387–406. http://dx.doi.org/10.1142/s0219876204000186.

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In many cases, it is advantageous to discretize a domain using several finite element meshes instead of a single mesh. For example, in fluid-structure interaction problems, an Eulerian mesh is advantageous for the fluid domain while a Lagrangian mesh is most suited for the structure. However, the interface conditions between different types of meshes often lead to significant errors. A method of treating different meshes by smoothly varying the description from Lagrangian to Eulerian in an interface or blending domain is presented. A Lagrangian mesh is used for the structure while two differen

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Katsura, Tomoo, and Yoshinori Tange. "A Simple Derivation of the Birch–Murnaghan Equations of State (EOSs) and Comparison with EOSs Derived from Other Definitions of Finite Strain." Minerals 9, no. 12 (2019): 745. http://dx.doi.org/10.3390/min9120745.

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Eulerian finite strain of an elastically isotropic body is defined using the expansion of squared length and the post-compression state as reference. The key to deriving second-, third- and fourth-order Birch–Murnaghan equations-of-state (EOSs) is not requiring a differential to describe the dimensions of a body owing to isotropic, uniform, and finite change in length and, therefore, volume. Truncation of higher orders of finite strain to express the Helmholtz free energy is not equal to ignoring higher-order pressure derivatives of the bulk modulus as zero. To better understand the Eulerian s

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Zeidan, Mohamad, and Avi Ostfeld. "Unsteady Friction Modeling Technique for Lagrangian Approaches in Transient Simulations." Water 14, no. 15 (2022): 2437. http://dx.doi.org/10.3390/w14152437.

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This study investigates the simulation of celerity attenuation and head damping in transient flows using a Lagrangian approach rather than an Eulerian approach. Typically, the Lagrangian approach requires orders of magnitude fewer calculations, resulting in the rapid solution of very large systems. Additionally, it is based on a simple physical model. As the method is continuous in both time and space, it is less sensitive to the structure of the network and the length of the simulation process. Most recent studies, however, have focused on the development and improvement of computational rout

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Klaassen, G. P. "Testing Lagrangian Theories of Internal Wave Spectra. Part I: Varying the Amplitude and Wavenumbers." Journal of the Atmospheric Sciences 66, no. 5 (2009): 1077–100. http://dx.doi.org/10.1175/2008jas2666.1.

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Abstract A growing body of literature has been built on the premise that kinematic advection produced by linear superpositions of sinusoidal Lagrangian gravity waves confined to lower vertical wavenumbers can provide an explanation for quasi-universal Eulerian spectral tails commonly found in the oceans and the atmosphere. Recently, Hines has established criteria delineating the circumstances in which Eulerian and Lagrangian spectra differ. For conditions in which Hines claims Lagrangian linearity and the production of quasi-universal Eulerian m−3 spectra, a kinematic advection model based on

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Ali Muttaqi Shah, Syed Hyder, François W. Primeau, Eric Deleersnijder, and Arnold W. Heemink. "Tracing the Ventilation Pathways of the Deep North Pacific Ocean Using Lagrangian Particles and Eulerian Tracers." Journal of Physical Oceanography 47, no. 6 (2017): 1261–80. http://dx.doi.org/10.1175/jpo-d-16-0098.1.

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AbstractLagrangian forward and backward models are introduced into a coarse-grid ocean global circulation model to trace the ventilation routes of the deep North Pacific Ocean. The random walk aspect in the Lagrangian model is dictated by a rotated isopycnal diffusivity tensor in the circulation model, and the effect of diffusion is explicitly resolved by means of stochastic terms in the Lagrangian model. The analogy between the probability distribution of a Lagrangian model with Green’s function of an Eulerian tracer transport equation is established. The estimated first- and last-passage tim

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Almohammadi, Khaled Mohammad. "Smooth Particle Hydrodynamic and URAN Visualization of Multiphase Flow." Defect and Diffusion Forum 399 (February 2020): 87–91. http://dx.doi.org/10.4028/www.scientific.net/ddf.399.87.

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Significant research is being conducted in the simulation of fluid flows due to the increase in employing the physics of the fluid flow to either commercial, in-house or open source codes. The analysis of the fluid flow is mainly based on the Lagrangian or the Eulerian approach. Many of the simulation codes employ the Eulerian approach due to its simplicity. These codes are based on several numerical techniques and yet few benchmarks have been conducted. However, the codes which employ the Lagrangian approach seem to be promising and may accurately simulate fluid flow phenomena. In this paper,

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Lou, Shu Mei, and Lin Jing Xiao. "Research and Development of the Porthole-Die Aluminium Alloy Extrusion Processes." Advanced Materials Research 472-475 (February 2012): 214–18. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.214.

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The current research on the porthole-die aluminium alloy extrusion is presented here. The empirical method and simulation method are analyzed. Particularly, the Lagrangian Finite Element Method(FEM), Eulerian Finite Volume Method(FVM) and Arbitrary-Lagrangian Eulerian(ALE) algorithm are compared. The development of the porthole-die aluminium is educed.

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Mardani, Neda, Mohammadreza Khanarmuei, Kabir Suara, Richard Brown, Adrian McCallum, and Roy C. Sidle. "Lagrangian Data Assimilation for Improving Model Estimates of Velocity Fields and Residual Currents in a Tidal Estuary." Applied Sciences 11, no. 22 (2021): 11006. http://dx.doi.org/10.3390/app112211006.

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Numerical models are associated with uncertainties that can be reduced through data assimilation (DA). Lower costs have driven a recent tendency to use Lagrangian instruments such as drifters and floats to obtain information about water bodies. However, difficulties emerge in their assimilation, since Lagrangian data are set out in a moving frame of reference and are not compatible with the fixed grid locations used in models to predict flow variables. We applied a pseudo-Lagrangian approach using OpenDA, an open-source DA tool to assimilate Lagrangian drifter data into an estuarine hydrodynam

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BENZI, R., L. BIFERALE, R. FISHER, D. Q. LAMB, and F. TOSCHI. "Inertial range Eulerian and Lagrangian statistics from numerical simulations of isotropic turbulence." Journal of Fluid Mechanics 653 (June 2, 2010): 221–44. http://dx.doi.org/10.1017/s002211201000056x.

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We present a study of Eulerian and Lagrangian statistics from a high-resolution numerical simulation of isotropic and homogeneous turbulence using the FLASH code, with an estimated Taylor microscale Reynolds number of around 600. Statistics are evaluated over a data set with 18563 spatial grid points and with 2563 = 16.8 million particles, followed for about one large-scale eddy turnover time. We present data for the Eulerian and Lagrangian structure functions up to the tenth order. We analyze the local scaling properties in the inertial range. The Eulerian velocity field results show good agr

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McAllister, M. L., and T. S. van den Bremer. "Lagrangian Measurement of Steep Directionally Spread Ocean Waves: Second-Order Motion of a Wave-Following Measurement Buoy." Journal of Physical Oceanography 49, no. 12 (2019): 3087–108. http://dx.doi.org/10.1175/jpo-d-19-0170.1.

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AbstractThe notion that wave-following buoys provide less accurate measurements of extreme waves than their Eulerian counterparts is a perception commonly held by oceanographers and engineers (Forristall 2000, J. Phys. Oceanogr., 30, 1931–1943, https://doi.org/10.1175/1520-0485(2000)030<1931:WCDOAS>2.0.CO;2). By performing a direct comparison between the two types of measurement under laboratory conditions, we examine one of the hypotheses underlying this perception and establish whether wave measurement buoys in extreme ocean waves correctly follow steep crests and behave in a purely La

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Patel, Ravi G., Olivier Desjardins, Bo Kong, Jesse Capecelatro, and Rodney O. Fox. "Verification of Eulerian-Eulerian and Eulerian-Lagrangian simulations for turbulent fluid-particle flows." AIChE Journal 63, no. 12 (2017): 5396–412. http://dx.doi.org/10.1002/aic.15949.

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Hirche, Daniel, Fabian Birkholz, and Olaf Hinrichsen. "A hybrid Eulerian-Eulerian-Lagrangian model for gas-solid simulations." Chemical Engineering Journal 377 (December 2019): 119743. http://dx.doi.org/10.1016/j.cej.2018.08.129.

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Yeo, Kyongmin, and David M. Romps. "Measurement of Convective Entrainment Using Lagrangian Particles." Journal of the Atmospheric Sciences 70, no. 1 (2013): 266–77. http://dx.doi.org/10.1175/jas-d-12-0144.1.

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Abstract Lagrangian particle tracking is used in a large-eddy simulation to study an individual cumulus congestus. This allows for the direct measurement of the convective entrainment rate and of the residence times of entrained parcels within the cloud. The entrainment rate obtained by Lagrangian direct measurement is found to be higher than that obtained using the recently introduced method of Eulerian direct measurement. This discrepancy is explained by the fast recirculation of air in and out of cloudy updrafts, which Eulerian direct measurement is unable to resolve. By filtering these fas

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Singh, Digvijay, and Arup Kumar Das. "Predictability and benefits of coupled Eulerian-Lagrangian approach over Eulerian characterization of droplet annular flow." Fluid Dynamics Research 53, no. 6 (2021): 065501. http://dx.doi.org/10.1088/1873-7005/ac34ec.

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Abstract Wavy annular flow and subsequent droplet dispersion in air-water two-phase flow has been studied numerically using conventional Eulerian volume of fluid (VOF) solver and coupled Eulerian-Lagrangian approach. The VOF based investigation has been reported to highlights the formation of droplet swarm and its population dynamics. Coupled Eulerian-Lagrangian method has also been shown to replicate similar features with lesser computational effort. Entrainment, deposition, fragmentation and unification are traced from the numerical simulation, which ultimately predicts the volume filling be

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Chen, Y. Y., H. C. Hsu, and H. H. Hwung. "Particle trajectories beneath wave-current interaction in a two-dimensional field." Nonlinear Processes in Geophysics 19, no. 2 (2012): 185–97. http://dx.doi.org/10.5194/npg-19-185-2012.

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Abstract. Within the Lagrangian reference framework we present a third-order trajectory solution for water particles in a two-dimensional wave-current interaction flow. The explicit parametric solution highlights the trajectory of a water particle and the wave kinematics above the mean water level and within a vertical water column, which were calculated previously by an approximation method using an Eulerian approach. Mass transport associated with a particle displacement can now be obtained directly in Lagrangian form without using the transformation from Eulerian to Lagrangian coordinates.

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Burger, M., G. Klose, G. Rottenkolber, et al. "A Combined Eulerian and Lagrangian Method for Prediction of Evaporating Sprays." Journal of Engineering for Gas Turbines and Power 124, no. 3 (2002): 481–88. http://dx.doi.org/10.1115/1.1473153.

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Polydisperse sprays in complex three-dimensional flow systems are important in many technical applications. Numerical descriptions of sprays are used to achieve a fast and accurate prediction of complex two-phase flows. The Eulerian and Lagrangian methods are two essentially different approaches for the modeling of disperse two-phase flows. Both methods have been implemented into the same computational fluid dynamics package which is based on a three-dimensional body-fitted finite volume method. Considering sprays represented by a small number of droplet starting conditions, the Eulerian metho

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Lei, Yan, Yue Wu, Dingwu Zhou, et al. "Investigation on Primary Breakup of High-Pressure Diesel Spray Atomization by Method of Automatic Identifying Droplet Feature Based on Eulerian–Lagrangian Model." Energies 15, no. 3 (2022): 867. http://dx.doi.org/10.3390/en15030867.

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To investigate primary breakup close to an injector, this paper presents both experimental and numerical research on high-pressure common-rail diesel injection. We propose a new method named SD-ELSA model to realize automatically identifying droplet features for high-pressure diesel spray based on the classic ELSA (Eulerian Lagrangian Spray Atomization) model; this method is suitable for varied injection operation conditions. The SD-ELSA first identifies the liquid bulk due to breakup of the continuous phase in near field, and then converts the Eulerian liquid bulk into Lagrangian particles to

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Hariandja, Binsar Halomoan. "Finite Element Analysis of Nonlinear Contact Problems with Mixed Eulerian-Lagrangian Description." PRESUNIVE CIVIL ENGINEERING JOURNAL 1, no. 2 (2023): 37. http://dx.doi.org/10.33021/pcej.v1i2.4417.

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<p class="Abstract">This study deals with analysis of structures using mixed Eulerian-Lagrangian description. Apart from generally used Lagrangian description which uses initial configuration as reference, the newly proposed uses one of actual configuration as reference. Therefore, the total displacement is decomposed into two portions, i.e., the portion covering displacement from initial into referential configuration called Eulerian displacement, and the portion covering displacement from referential configuration into current configuration called Lagrangian displacement. The new techn

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Rieben, Robert N., B. Wallin, and Daniel A. White. "Arbitrary Lagrangian Eulerian Electromechanics in 3D." PIERS Online 2, no. 3 (2006): 265–69. http://dx.doi.org/10.2529/piers050907182946.

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Kliakhandler, Igor, and Alexander Kurganov. "Quasi-Lagrangian Acceleration of Eulerian Methods." Communications in Computational Physics 6, no. 4 (2009): 743–57. http://dx.doi.org/10.4208/cicp.2009.v6.p743.

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Bhaskaran, Rajesh, and Sidney Leibovich. "Eulerian and Lagrangian Langmuir circulation patterns." Physics of Fluids 14, no. 7 (2002): 2557. http://dx.doi.org/10.1063/1.1471876.

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Bontempi, Franco, and Lucia Faravelli. "Lagrangian/Eulerian Description of Dynamic System." Journal of Engineering Mechanics 124, no. 8 (1998): 901–11. http://dx.doi.org/10.1061/(asce)0733-9399(1998)124:8(901).

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