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Journal articles on the topic 'Collision de navire'

Author: Grafiati

Published: 24 January 2024

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1

Li, Xiang-Yu, Axel Brandenburg, Gunilla Svensson, Nils E. L. Haugen, Bernhard Mehlig, and Igor Rogachevskii. "Condensational and Collisional Growth of Cloud Droplets in a Turbulent Environment." Journal of the Atmospheric Sciences 77, no. 1 (2019): 337–53. http://dx.doi.org/10.1175/jas-d-19-0107.1.

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Abstract We investigate the effect of turbulence on the combined condensational and collisional growth of cloud droplets by means of high-resolution direct numerical simulations of turbulence and a superparticle approximation for droplet dynamics and collisions. The droplets are subject to turbulence as well as gravity, and their collision and coalescence efficiencies are taken to be unity. We solve the thermodynamic equations governing temperature, water vapor mixing ratio, and the resulting supersaturation fields together with the Navier–Stokes equation. We find that the droplet size distrib

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2

BARANGER, C. "MODELLING OF OSCILLATIONS, BREAKUP AND COLLISIONS FOR DROPLETS: THE ESTABLISHMENT OF KERNELS FOR THE T.A.B. MODEL." Mathematical Models and Methods in Applied Sciences 14, no. 05 (2004): 775–94. http://dx.doi.org/10.1142/s0218202504003441.

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In this work, we consider a spray consisting of droplets surrounded by a gas. The droplets are described by a kinetic equation and the gas verifies an equation of fluid dynamics such as Navier–Stokes. We write down the kernels corresponding to complex phenomena such as oscillations, breakup and collisions/coalescences. We use for that the T.A.B. model of oscillations introduced in particular in the KIVA code of combustion of Los Alamos, and the collision model introduced by Villedieu. We briefly explain the numerical method for solving such equations, and present results.

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INOUE, O., Y. HATTORI, and T. SASAKI. "Sound generation by coaxial collision of two vortex rings." Journal of Fluid Mechanics 424 (November 16, 2000): 327–65. http://dx.doi.org/10.1017/s0022112000002123.

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Sound pressure fields generated by coaxial collisions of two vortex rings with equal/unequal strengths are simulated numerically. The axisymmetric, unsteady, compressible Navier–Stokes equations are solved by a finite difference method, not only for a near field but also for a far field. The sixth-order-accurate compact Padé scheme is used for spatial derivatives, together with the fourth-order-accurate Runge–Kutta scheme for time integration. The results show that the generation of sound is closely related to the change of direction of the vortex ring motion induced by the mutual interaction

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4

Lohrasbi, Alireza, and Moharram D. Pirooz. "Navier Stokes model of solitary wave collision." Chaos, Solitons & Fractals 68 (November 2014): 139–50. http://dx.doi.org/10.1016/j.chaos.2014.08.003.

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5

Almady, Wasif. "Analytical Solution for Boltzmann Collision Operator for the1-D Diffusion equation." International Journal for Research in Applied Science and Engineering Technology 9, no. 9 (2021): 1514–17. http://dx.doi.org/10.22214/ijraset.2021.38189.

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Abstract: In this paper, we have presented the analytical solution of the collision operator for the Boltzmann equation of onedimensional diffusion equation using the analytical solution of the one-dimensional Navier Stoke diffusion equation. Keywords: Boltzmann equation; analytical collision operator; one-dimensional diffusion equation.

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6

Naso, Aurore, Jennifer Jucha, Emmanuel Lévêque, and Alain Pumir. "Collision rate of ice crystals with water droplets in turbulent flows." Journal of Fluid Mechanics 845 (April 27, 2018): 615–41. http://dx.doi.org/10.1017/jfm.2018.238.

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Riming, the process whereby ice crystals get coated by impacting supercooled liquid droplets, is one of the dominant processes leading to precipitation in mixed-phase clouds. How a settling crystal collides with very small water droplets has been mostly studied in laminar conditions. The present numerical study aims at providing further insight on how turbulent flow motion affects the riming of ice crystals. We model the crystals as narrow oblate ellipsoids, smaller than the Kolmogorov elementary scale. By neglecting the effect of fluid inertia on the motion of the crystals and droplets, and u

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Lin, S. C., T. C. Kuo, and C. C. Chieng. "Particle Trajectories Around a Flying Slider." Journal of Tribology 120, no. 1 (1998): 69–74. http://dx.doi.org/10.1115/1.2834192.

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The Eulerian-Lagrangian approach is employed to simulate droplet trajectories due to the large-velocity gradient between two solid surfaces: a stationery block (slider) and a rotating plane (disk). Sudden expansion after the extremely small spacing will trap the particles in the open spaces. The fluid phase flowfield is obtained by solving Navier-Stokes equations with slip boundary correction in the Eulerian approach, and the droplet trajectories are calculated by integrating equations of motion with slip correction in the Lagrangian approach. Because of the extremely small spacing and the dro

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8

XU, KUN, and ZHAOLI GUO. "GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES." Modern Physics Letters B 23, no. 03 (2009): 237–40. http://dx.doi.org/10.1142/s0217984909018096.

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Based on a multiple stage BGK-type collision model and the Chapman–Enskog expansion, the corresponding macroscopic gas dynamics equations in three-dimensional space will be derived. The new gas dynamic equations have the same structure as the Navier–Stokes equations, but the stress strain relationship in the Navier–Stokes equations is replaced by an algebraic equation with temperature differences. In the continuum flow regime, the new gas dynamic equations automatically recover the standard Navier–Stokes equations. The current gas dynamic equations are natural extension of the Navier–Stokes eq

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9

Mayhew, Kent W. "Illusions of Elastic Collisions in the Sciences:." European Journal of Engineering Research and Science 5, no. 1 (2020): 87–90. http://dx.doi.org/10.24018/ejers.2020.5.1.1693.

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Employing elastic collisions rather than the reality of inelastic collisions simplifies much of the theoretical sciences. The consequences of such simplification is completely ignored/unrealized by the majority, hence must be addressed. At the crux of the problem is arguably the illusion of elastic collisions in kinetic theory, but this extends to other realms of physics including statistical theory, Lagrangian mechanics and the Navier-Stokes equations.

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Mayhew, Kent W. "Illusions of Elastic Collisions in the Sciences:." European Journal of Engineering and Technology Research 5, no. 1 (2020): 87–90. http://dx.doi.org/10.24018/ejeng.2020.5.1.1693.

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Employing elastic collisions rather than the reality of inelastic collisions simplifies much of the theoretical sciences. The consequences of such simplification is completely ignored/unrealized by the majority, hence must be addressed. At the crux of the problem is arguably the illusion of elastic collisions in kinetic theory, but this extends to other realms of physics including statistical theory, Lagrangian mechanics and the Navier-Stokes equations.

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11

Gonzalez-Ondina, Jose M., Luigi Fraccarollo, and Philip L. F. Liu. "Two-level, two-phase model for intense, turbulent sediment transport." Journal of Fluid Mechanics 839 (January 26, 2018): 198–238. http://dx.doi.org/10.1017/jfm.2017.920.

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The study of sediment transport requires in-depth investigation of the complex effects of sediment particles in fluid turbulence. In this paper we focus on intense sediment transport flows. None of the existing two-phase models in the literature properly replicates the liquid and solid stresses in the near bed region of high concentration of sediment. The reason for this shortcoming is that the physical processes occurring at the length scale of the particle collisions are different from those occurring at larger length scales and therefore, they must be modelled independently. We present here

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12

Smida, K., H. Lamloumi, K. Maalel, and Z. Hafsia. "CFD Analysis of Water Solitary Wave Reflection." Journal of Engineering Research [TJER] 8, no. 2 (2011): 10. http://dx.doi.org/10.24200/tjer.vol8iss2pp10-18.

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A new numerical wave generation method is used to investigate the head-on collision of two solitary waves. The reflection at vertical wall of a solitary wave is also presented. The originality of this model, based on the Navier-Stokes equations, is the specification of an internal inlet velocity, defined as a source line within the computational domain for the generation of these non linear waves. This model was successfully implemented in the PHOENICS (Parabolic Hyperbolic Or Elliptic Numerical Integration Code Series) code. The collision of two counter-propagating solitary waves is similar t

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Degond, Pierre, Amic Frouvelle, and Jian-Guo Liu. "From kinetic to fluid models of liquid crystals by the moment method." Kinetic and Related Models 15, no. 3 (2022): 417. http://dx.doi.org/10.3934/krm.2021047.

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<p style='text-indent:20px;'>This paper deals with the convergence of the Doi-Navier-Stokes model of liquid crystals to the Ericksen-Leslie model in the limit of the Deborah number tending to zero. While the literature has investigated this problem by means of the Hilbert expansion method, we develop the moment method, i.e. a method that exploits conservation relations obeyed by the collision operator. These are non-classical conservation relations which are associated with a new concept, that of Generalized Collision Invariant (GCI). In this paper, we develop the GCI concept and relate

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Mácha, Václav, and Šárka Nečasová. "Self-propelled motion in a viscous compressible fluid." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 146, no. 2 (2016): 415–33. http://dx.doi.org/10.1017/s0308210515000487.

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In this paper we focus on the existence of a weak solution to a system describing a self-propelled motion of a single deformable body in a viscous compressible fluid that occupies a bounded domain in the three-dimensional Euclidean space. The governing system considered for the fluid is the isentropic compressible Navier–Stokes equation. We prove the existence of a weak solution up to a collision.

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VÁZQUEZ, JUAN LUIS, and ENRIQUE ZUAZUA. "LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION." Mathematical Models and Methods in Applied Sciences 16, no. 05 (2006): 637–78. http://dx.doi.org/10.1142/s0218202506001303.

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In this paper we consider a simplified model for fluid–solid interaction in one space dimension. The fluid is assumed to be governed by the viscous Burgers equation. It is coupled with a finite number of solid masses in the form of point particles, which share the velocity of the fluid and are accelerated by the jump in velocity gradient of the fluid on both sides, which replaces here the standard pressure jump of Navier–Stokes models. We prove global existence and uniqueness of solutions. This requires proving that the solid particles never collide in finite time, a key fact that follows from

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Golse, François, and Laure Saint-Raymond. "The Navier–Stokes limit of the Boltzmann equation for bounded collision kernels." Inventiones mathematicae 155, no. 1 (2003): 81–161. http://dx.doi.org/10.1007/s00222-003-0316-5.

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17

GRAILLE, BENJAMIN, THIERRY E. MAGIN, and MARC MASSOT. "KINETIC THEORY OF PLASMAS: TRANSLATIONAL ENERGY." Mathematical Models and Methods in Applied Sciences 19, no. 04 (2009): 527–99. http://dx.doi.org/10.1142/s021820250900353x.

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In the present study, we derive from kinetic theory a unified fluid model for multicomponent plasmas by accounting for the electromagnetic field influence. We deal with a possible thermal nonequilibrium of the translational energy of the particles, neglecting their internal energy and reactive collisions. Given the strong disparity of mass between the electrons and heavy particles, such as molecules, atoms, and ions, we conduct a dimensional analysis of the Boltzmann equation and introduce a scaling based on a multiscale perturbation parameter equal to the square root of the ratio of the elect

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18

Yacoubi, Acmae El, Sheng Xu, and Z. Jane Wang. "A New method for computing particle collisions in Navier-Stokes flows." Journal of Computational Physics 399 (December 2019): 108919. http://dx.doi.org/10.1016/j.jcp.2019.108919.

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19

Shan, Xiaowen, Xuhui Li, and Yangyang Shi. "A multiple-relaxation-time collision model by Hermite expansion." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2208 (2021): 20200406. http://dx.doi.org/10.1098/rsta.2020.0406.

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The Bhatnagar–Gross–Krook (BGK) single-relaxation-time collision model for the Boltzmann equation serves as the foundation of the lattice BGK (LBGK) method developed in recent years. The description of the collision as a uniform relaxation process of the distribution function towards its equilibrium is, in many scenarios, simplistic. Based on a previous series of papers, we present a collision model formulated as independent relaxations of the irreducible components of the Hermite coefficients in the reference frame moving with the fluid. These components, corresponding to the irreducible repr

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Kida, S., M. Takaoka, and F. Hussain. "Collision of two vortex rings." Journal of Fluid Mechanics 230 (September 1991): 583–646. http://dx.doi.org/10.1017/s0022112091000903.

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The interaction of two identical circular viscous vortex rings starting in a side-by-side configuration is investigated by solving the Navier–Stokes equation using a spectral method with 643 grid points. This study covers initial Reynolds numbers (ratio of circulation to viscosity) up to 1153. The vortices undergo two successive reconnections, fusion and fission, as has been visualized experimentally, but the simulation shows topological details not observed in experiments. The shapes of the evolving vortex rings are different for different initial conditions, but the mechanism of the reconnec

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21

Reshetova, Anna, and Tatyana Poplavskaya. "Numerical Investigation Of The Evolution Of Disturbances On A Flat Plate In A Hypersonic Flow Of A Mixture Of Vibrationally Excited Gases." Siberian Journal of Physics 12, no. 2 (2017): 11–19. http://dx.doi.org/10.54362/1818-7919-2017-12-2-11-19.

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The problem of the evolution of disturbances in a hypersonic viscous shock layer on a plate in the flow of a mixture of vibrationally excited carbon dioxide and nitrogen is considered by solving of the Navier – Stokes equations. Two channels of vibrational relaxation of CO2 molecules in collisions with CO2 and in collisions with N2 were taken into account by using a two-temperature model of relaxation flows in modeling the thermal nonequilibrium. The data on the dynamics of the evolution of disturbances on f flat plate in a wide range of determining parameters (attack angle α = 5÷20°, concentr

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22

Doroshenko, Yaroslav, Julia Doroshenko, Vasyl Zapukhliak, Lyubomyr Poberezhny, and Pavlo Maruschak. "MODELING COMPUTATIONAL FLUID DYNAMICS OF MULTIPHASE FLOWS IN ELBOW AND T-JUNCTION OF THE MAIN GAS PIPELINE." Transport 34, no. 1 (2019): 19–29. http://dx.doi.org/10.3846/transport.2019.7441.

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The research was performed in order to obtain the physical picture of the movement of condensed droplets and solid particles in the flow of natural gas in elbows and T-junctions of the linear part of the main gas pipeline. 3D modeling of the elbow and T-junction was performed in the linear part of the gas main, in particular, in places where a complex movement of multiphase flows occurs and changes its direction. In these places also occur swirls, collisions of discrete phases in the pipeline wall, and erosive wear of the pipe wall. Based on Lagrangian approach (Discrete Phase Model – DPM), me

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23

Idrisov, Edvin G., Eddwi H. Hasdeo, Byjesh N. Radhakrishnan, and Thomas L. Schmidt. "Hydrodynamic Navier-Stokes equations in two-dimensional systems with Rashba spin-orbit coupling." Low Temperature Physics 49, no. 12 (2023): 1385–97. http://dx.doi.org/10.1063/10.0022364.

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We study a two-dimensional (2D) electron system with a linear spectrum in the presence of Rashba spin-orbit (RSO) coupling in the hydrodynamic regime. We derive a semiclassical Boltzmann equation with a collision integral due to Coulomb interactions on the basis of the eigenstates of the system with RSO coupling. Using the local equilibrium distribution functions, we obtain a generalized hydrodynamic Navier–Stokes equation for electronic systems with RSO coupling. In particular, we discuss the influence of the spin-orbit coupling on the viscosity and the enthalpy of the system and present some

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Mužík, Juraj. "Lattice Boltzmann Method for Two-Dimensional Unsteady Incompressible Flow." Civil and Environmental Engineering 12, no. 2 (2016): 122–27. http://dx.doi.org/10.1515/cee-2016-0017.

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Abstract A Lattice Boltzmann method is used to analyse incompressible fluid flow in a two-dimensional cavity and flow in the channel past cylindrical obstacle. The method solves the Boltzmann’s transport equation using simple computational grid - lattice. With the proper choice of the collision operator, the Boltzmann’s equation can be converted into incompressible Navier-Stokes equation. Lid-driven cavity benchmark case for various Reynolds numbers and flow past cylinder is presented in the article. The method produces stable solutions with results comparable to those in literature and is ver

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Jin, Yuzhen, Huang Zhou, Linhang Zhu, and Zeqing Li. "Dynamics of Single Droplet Splashing on Liquid Film by Coupling FVM with VOF." Processes 9, no. 5 (2021): 841. http://dx.doi.org/10.3390/pr9050841.

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A three-dimensional numerical study of a single droplet splashing vertically on a liquid film is presented. The numerical method is based on the finite volume method (FVM) of Navier–Stokes equations coupled with the volume of fluid (VOF) method, and the adaptive local mesh refinement technology is adopted. It enables the liquid–gas interface to be tracked more accurately, and to be less computationally expensive. The relationship between the diameter of the free rim, the height of the crown with different numbers of collision Weber, and the thickness of the liquid film is explored. The results

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MONACO, R., M. PANDOLFI BIANCHI, and A. ROSSANI. "CHAPMAN-ENSKOG EXPANSION FOR A DISCRETE VELOCITY MODEL OF A GAS MIXTURE WITH BI-MOLECULAR CHEMICAL REACTIONS." Mathematical Models and Methods in Applied Sciences 04, no. 03 (1994): 355–72. http://dx.doi.org/10.1142/s0218202594000212.

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We propose a new discrete velocity model of the Boltzmann equation for a mixture of four gases admitting particle elastic collisions and bi-molecular chemical reactions. We first prove an H-theorem and determine the thermodynamical equilibrium state. A Chapman-Enskog expansion on the kinetic equations is then performed, deriving both the Euler and the Navier-Stokes equations of the model. Finally the transport coefficients of diffusivity and viscosity are provided as well.

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Maderich, Vladimir, Kyung Tae Jung, Kateryna Terletska, and Kyeong Ok Kim. "Head-on collision of internal waves with trapped cores." Nonlinear Processes in Geophysics 24, no. 4 (2017): 751–62. http://dx.doi.org/10.5194/npg-24-751-2017.

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Abstract. The dynamics and energetics of a head-on collision of internal solitary waves (ISWs) with trapped cores propagating in a thin pycnocline were studied numerically within the framework of the Navier–Stokes equations for a stratified fluid. The peculiarity of this collision is that it involves trapped masses of a fluid. The interaction of ISWs differs for three classes of ISWs: (i) weakly non-linear waves without trapped cores, (ii) stable strongly non-linear waves with trapped cores, and (iii) shear unstable strongly non-linear waves. The wave phase shift of the colliding waves with eq

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Wang, Xiaodong, Kai Chen, Ting Kang, and Jie Ouyang. "A Dynamic Coarse Grain Discrete Element Method for Gas-Solid Fluidized Beds by Considering Particle-Group Crushing and Polymerization." Applied Sciences 10, no. 6 (2020): 1943. http://dx.doi.org/10.3390/app10061943.

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The discrete element method (DEM) coupled with computational fluid dynamics (CFD) is used extensively for the numerical simulation of gas-solid fluidized beds. In order to improve the efficiency of this approach, a coarse grain model of the DEM was proposed in the literature. In this model, a group of original particles are treated as a large-sized particle based on the initial particle distribution, and during the whole simulation process the number and components of these particle-groups remain unchanged. However, collisions between particles can lead to frequent crushing and polymerization

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Voßkuhle, Michel, Alain Pumir, Emmanuel Lévêque, and Michael Wilkinson. "Collision rate for suspensions at large Stokes numbers – comparing Navier–Stokes and synthetic turbulence." Journal of Turbulence 16, no. 1 (2014): 15–25. http://dx.doi.org/10.1080/14685248.2014.948628.

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Tong, Ying, and Jian Xia. "The hydrodynamic FORCE of fluid–structure interaction interface in lattice Boltzmann simulations." International Journal of Modern Physics B 34, no. 14n16 (2020): 2040085. http://dx.doi.org/10.1142/s0217979220400858.

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The hydrodynamic force (HF) evaluation plays a critical role in the numerical simulation of fluid–structure interaction (FSI). By directly using the distribution functions of lattice Boltzmann equation (LBE) to evaluate the HF, the momentum exchange algorithm (MEA) has excellent features. Particularly, it is independent of boundary geometry and avoids integration on the complex boundary. In this work, the HF of lattice Boltzmann simulation (LBS) is evaluated by using the MEA. We conduct a comparative study to evaluate two lattice Boltzmann models for constructing the flow solvers, including th

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VEGA REYES, FRANCISCO, and JEFFREY S. URBACH. "Steady base states for Navier–Stokes granular hydrodynamics with boundary heating and shear." Journal of Fluid Mechanics 636 (September 25, 2009): 279–93. http://dx.doi.org/10.1017/s0022112009007800.

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We study the Navier–Stokes steady states for a low density monodisperse hard sphere granular gas (i.e a hard sphere ideal monatomic gas with inelastic inter-particle collisions). We present a classification of the uniform steady states that can arise from shear and temperature (or energy input) applied at the boundaries (parallel walls). We consider both symmetric and asymmetric boundary conditions and find steady states not previously reported, including sheared states with linear temperature profiles. We provide explicit expressions for the hydrodynamic profiles for all these steady states.

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Chen, Hudong, Ilya Staroselsky, Katepalli R. Sreenivasan, and Victor Yakhot. "Average Turbulence Dynamics from a One-Parameter Kinetic Theory." Atmosphere 14, no. 7 (2023): 1109. http://dx.doi.org/10.3390/atmos14071109.

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We show theoretically that the mean turbulent dynamics can be described by a kinetic theory representation with a single free relaxation time that depends on space and time. A proper kinetic equation is constructed from the Klimontovich-type kinetic equation for fluid elements, which satisfies the Navier–Stokes hydrodynamics exactly. In a suitably averaged form, the turbulent kinetic energy plays the role of temperature in standard molecular thermodynamics. We show that the dynamics of turbulent fluctuations resembles a collision process that asymptotically drives the mean distribution towards

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Garg, Deepak, Antonella Longo, and Paolo Papale. "Modeling Free Surface Flows Using Stabilized Finite Element Method." Mathematical Problems in Engineering 2018 (June 11, 2018): 1–9. http://dx.doi.org/10.1155/2018/6154251.

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This work aims to develop a numerical wave tank for viscous and inviscid flows. The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method. The numerical scheme tracks the free surface location using fluid velocity. A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems. The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid. The benchmark tests de

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BREVDO, LEONID, PATRICE LAURE, FREDERIC DIAS, and THOMAS J. BRIDGES. "Linear pulse structure and signalling in a film flow on an inclined plane." Journal of Fluid Mechanics 396 (October 10, 1999): 37–71. http://dx.doi.org/10.1017/s0022112099005790.

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The film flow down an inclined plane has several features that make it an interesting prototype for studying transition in a shear flow: the basic parallel state is an exact explicit solution of the Navier–Stokes equations; the experimentally observed transition of this flow shows many properties in common with boundary-layer transition; and it has a free surface, leading to more than one class of modes. In this paper, unstable wavepackets – associated with the full Navier–Stokes equations with viscous free-surface boundary conditions – are analysed by using the formalism of absolute and conve

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Rieber, M., and A. Frohn. "Three-dimensional Navier-Stokes simulation of binary collisions between droplets of equal size." Journal of Aerosol Science 26 (September 1995): S929—S930. http://dx.doi.org/10.1016/0021-8502(95)97372-l.

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Fotakis, Jan A., Moritz Greif, Gabriel S. Denicol, and Carsten Greiner. "Diffusion of Conserved Charges in Relativistic Heavy Ion Collisions." Proceedings 10, no. 1 (2019): 31. http://dx.doi.org/10.3390/proceedings2019010031.

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We discuss the diffusion currents occurring in a dilute system and show that the charge currents do not only depend on gradients in the corresponding charge density, but also on the other conserved charges in the system—the diffusion currents are therefore coupled. Gradients in one charge thus generate dissipative currents in a different charge. In this approach, we model the Navier-Stokes term of the generated currents to consist of a diffusion coefficient matrix, in which the diagonal entries are the usual diffusion coefficients and the off-diagonal entries correspond to the coupling of diff

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Schullian, O., H. S. Antila, and B. R. Heazlewood. "A variable time step self-consistent mean field DSMC model for three-dimensional environments." Journal of Chemical Physics 156, no. 12 (2022): 124309. http://dx.doi.org/10.1063/5.0083033.

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A self-consistent mean field direct simulation Monte Carlo (SCMFD) algorithm was recently proposed for simulating collision environments for a range of one-dimensional model systems. This work extends the one-dimensional SCMFD approach to three dimensions and introduces a variable time step (3D-vt-SCMFD), enabling the modeling of a considerably wider range of different collision environments. We demonstrate the performance of the augmented method by modeling a varied set of test systems: ideal gas mixtures, Poiseuille flow of argon, and expansion of gas into high vacuum. For the gas mixtures,

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Sambath, Krishnaraj, Vishrut Garg, Sumeet S. Thete, Hariprasad J. Subramani, and Osman A. Basaran. "Inertial impedance of coalescence during collision of liquid drops." Journal of Fluid Mechanics 876 (August 1, 2019): 449–80. http://dx.doi.org/10.1017/jfm.2019.498.

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The fluid dynamics of the collision and coalescence of liquid drops has intrigued scientists and engineers for more than a century owing to its ubiquitousness in nature, e.g. raindrop coalescence, and industrial applications, e.g. breaking of emulsions in the oil and gas industry. The complexity of the underlying dynamics, which includes occurrence of hydrodynamic singularities, has required study of the problem at different scales – macroscopic, mesoscopic and molecular – using stochastic and deterministic methods. In this work, a multi-scale, deterministic method is adopted to simulate the a

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Sun, Guanwen, Hanyin Cui, Chao Li, Weijun Lin, and Chang Su. "Experimental and theoretical investigations of dispersion of ultrasonic waves in the low-temperature and low-pressure nitrogen gas." Journal of the Acoustical Society of America 153, no. 2 (2023): 821–34. http://dx.doi.org/10.1121/10.0017097.

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Temperature has a complex effect on acoustic dispersion in dilute gases. In this paper, the effect of temperature on the acoustic dispersion of dilute gases is analyzed theoretically and experimentally. Theoretically, the Navier–Stokes (NS) equation and the Greenspan's theory, which includes the rotational-relaxation correction, are applied to calculate the dispersive sound speed. It is concluded that the temperature affects the molecular translational relaxation and the rotational relaxation by influencing the average molecular collision frequency and the relaxation collision number, respecti

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ISHIWATA, TATSUYA, TERUYOSHI MURAKAMI, SATOSHI YUKAWA, and NOBUYASU ITO. "PARTICLE DYNAMICS SIMULATIONS OF THE NAVIER–STOKES FLOW WITH HARD DISKS." International Journal of Modern Physics C 15, no. 10 (2004): 1413–24. http://dx.doi.org/10.1142/s0129183104006820.

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Flow simulation with a particle dynamics method is studied. The fluid is made of hard particles which obey the Newtonian equations of motion and the collisions between particles are elastic, that is, energy and momentum are conserved. The viscosity appears autonomously together with the local equilibrium state. When a particle collides with a nonslip boundary, a new velocity is given randomly from the thermal distribution if the wall is isothermal, or a random reflection angle is selected if the wall is adiabatic. Shear viscosity is estimated from simulations of plane Poiseuille flow together

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Li, Yanbing, and Xiaowen Shan. "Lattice Boltzmann method for adiabatic acoustics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1944 (2011): 2371–80. http://dx.doi.org/10.1098/rsta.2011.0109.

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The lattice Boltzmann method (LBM) has been proved to be a useful tool in many areas of computational fluid dynamics, including computational aero-acoustics (CAA). However, for historical reasons, its applications in CAA have been largely restricted to simulations of isothermal (Newtonian) sound waves. As the recent kinetic theory-based reformulation establishes a theoretical framework in which LBM can be extended to recover the full Navier–Stokes–Fourier (NS) equations and beyond, in this paper, we show that, at least at the low-frequency limit (sound frequency much less than molecular collis

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Mizuno, Yusuke, Shun Takahashi, Kota Fukuda, and Shigeru Obayashi. "Direct Numerical Simulation of Gas–Particle Flows with Particle–Wall Collisions Using the Immersed Boundary Method." Applied Sciences 8, no. 12 (2018): 2387. http://dx.doi.org/10.3390/app8122387.

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We investigated particulate flows by coupling simulations of the three-dimensional incompressible Navier–Stokes equation with the immersed boundary method (IBM). The results obtained from the two-way coupled simulation were compared with those of the one-way simulation, which is generally applied for clarifying the particle kinematics in industry. In the present flow simulation, the IBM was solved using a ghost–cell approach and the particles and walls were defined by a level set function. Using proposed algorithms, particle–particle and particle–wall collisions were implemented simply; the su

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Akkaya, Volkan Ramazan, and Ilyas Kandemir. "Event-Driven Molecular Dynamics Simulation of Hard-Sphere Gas Flows in Microchannels." Mathematical Problems in Engineering 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/842837.

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Classical solution of Navier-Stokes equations with nonslip boundary condition leads to inaccurate predictions of flow characteristics of rarefied gases confined in micro/nanochannels. Therefore, molecular interaction based simulations are often used to properly express velocity and temperature slips at high Knudsen numbers (Kn) seen at dilute gases or narrow channels. In this study, an event-driven molecular dynamics (EDMD) simulation is proposed to estimate properties of hard-sphere gas flows. Considering molecules as hard-spheres, trajectories of the molecules, collision partners, correspond

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Lubin, Pierre, Stéphane Vincent, and Jean-Paul Caltagirone. "On the Navier–Stokes equations simulation of the head-on collision between two surface solitary waves." Comptes Rendus Mécanique 333, no. 4 (2005): 351–57. http://dx.doi.org/10.1016/j.crme.2005.02.005.

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Stanković, Nikola. "Modelling the closure of narrow oceanic basins by means of numerical simulations." Tehnika 76, no. 6 (2021): 741–46. http://dx.doi.org/10.5937/tehnika2106741s.

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Numerical simulations represent an established approach in investigation of geodynamic processes in the Earth's interior and it is applied to a vast variety of geological problems. The closure of a narrow oceanic realm is modelled in this paper. Firstly, a simplified numerical model of a narrow ocean is established. The thermomechanical system is then simulated by solving Navier-Stokes and temperature equations. By imposing boundary conditions for velocity the convergent regime is simulated which leads to a subduction process along a predefined weak shear zone mantle. The subduction subsequent

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Li, Weidong, and Li-Shi Luo. "Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes." Communications in Computational Physics 20, no. 2 (2016): 301–24. http://dx.doi.org/10.4208/cicp.211015.040316a.

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AbstractA genuine finite volume method based on the lattice Boltzmann equation (LBE) for nearly incompressible flows is developed. The proposed finite volume lattice Boltzmann method (FV-LBM) is grid-transparent, i.e., it requires no knowledge of cell topology, thus it can be implemented on arbitrary unstructured meshes for effective and efficient treatment of complex geometries. Due to the linear advection term in the LBE, it is easy to construct multi-dimensional schemes. In addition, inviscid and viscous fluxes are computed in one step in the LBE, as opposed to in two separate steps for the

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NASR, HOJJAT, GOODARZ AHMADI, and JOHN B. MCLAUGHLIN. "A DNS study of effects of particle–particle collisions and two-way coupling on particle deposition and phasic fluctuations." Journal of Fluid Mechanics 640 (November 13, 2009): 507–36. http://dx.doi.org/10.1017/s0022112009992011.

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This study is concerned with the effects of particle–particle collisions and the two-way coupling on the dispersed and carrier phase turbulence fluctuations in a channel flow. The time history of the instantaneous turbulent velocity vector was generated by the two-way coupled direct numerical simulation of the Navier–Stokes equations via a pseudo-spectral method. The particle equation of motion included the wall-corrected nonlinear drag force and the wall-induced and shear-induced lift force. The effect of particles on the flow was included in the analysis via a feedback force that acted on th

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Chinappi, M., and E. De Angelis. "Confined dynamics of a single DNA molecule." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1944 (2011): 2329–36. http://dx.doi.org/10.1098/rsta.2011.0096.

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The effect of a slit-like confinement on the relaxation dynamics of DNA is studied via a mesoscale model in which a bead and spring model for the polymer is coupled to a particle-based Navier–Stokes solver (multi-particle collision dynamics). The confinement is found to affect the equilibrium stretch of the chain when the bulk gyration radius is comparable to or smaller than the channel height and our data are in agreement with the ( R g,bulk / h ) 1/4 scaling of the polymer extension in the wall tangential direction. Relaxation simulation at different confinements indicates that, while the ov

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Neustupa, Jiří, and Patrick Penel. "The Navier–Stokes equations with Navier's boundary condition around moving bodies in presence of collisions." Comptes Rendus Mathematique 347, no. 11-12 (2009): 685–90. http://dx.doi.org/10.1016/j.crma.2009.03.021.

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Zhu, Yajun, Chengwen Zhong, and Kun Xu. "GKS and UGKS for High-Speed Flows." Aerospace 8, no. 5 (2021): 141. http://dx.doi.org/10.3390/aerospace8050141.

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The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical methods based on the gas-kinetic theory, which have been widely used in the numerical simulations of high-speed and non-equilibrium flows. Both methods employ a multiscale flux function constructed from the integral solutions of kinetic equations to describe the local evolution process of particles’ free transport and collision. The accumulating effect of particles’ collision during transport process within a time step is used in the construction of the schemes, and the intrinsic simulating flow physics in the

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