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We present a set of cosmological variables, called "supercomoving variables," which are particularly useful for describing the gas dynamics of cosmic structure formation. For ideal gas with gamma=5/3, the supercomoving position, velocity,…

Astrophysics · Physics 2009-10-30 Hugo Martel , Paul R. Shapiro

The general relation between ignition and deflagration analyses was studied theoretically and computationally. Simple analysis showed that the temporal evolutions of normalized fuel mass fraction and the normalized temperature in a 0D…

Fluid Dynamics · Physics 2023-01-19 Youhi Morii , Kaoru Maruta

Solitons and breathers are localized solutions of integrable systems that can be viewed as "particles'' of complex statistical objects called soliton and breather gases. In view of the growing evidence of their ubiquity in fluids and…

Pattern Formation and Solitons · Physics 2020-05-13 Gennady El , Alexander Tovbis

We study the characteristics of fluid-fluid displacement in simple mixed-wet porous micromodels numerically using a dynamic pore network model. The porous micromodel consists of distinct water-wet and oil-wet regions, whose fractions are…

Soft Condensed Matter · Physics 2023-08-02 Ashkan Irannezhad , Bauyrzhan K. Primkulov , Ruben Juanes , Benzhong Zhao

Large-eddy simulations (LES) of a planar turbulent lean hydrogen-air jet flame at Re = 11000 are performed using a tabulated flamelet model based on mixture-averaged diffusion that incorporates detailed transport, including differential and…

The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we propose a more general concept of sprays, where we allow several generators to make them more…

Metric Geometry · Mathematics 2015-07-28 Derya Çelik , Şahin Koçak , Yunus Özdemir , A. Ersin Üreyen

We present a new family of fast and robust methods for the calculation of the vapor-liquid equilibrium at isobaric-isothermal (PT-flash), isochoric-isothermal (VT-flash), isenthalpic-isobaric (HP-flash), and isoenergetic-isochoric…

Computational Engineering, Finance, and Science · Computer Science 2021-01-29 Mohamad Fathi , Stefan Hickel

An alternative representation of an exact statistical field theory for simple fluids, based on the method of collective variables, is presented. The results obtained are examined from the point of another version of theory that was…

Statistical Mechanics · Physics 2009-11-11 Jean-Michel Caillol , Oksana Patsahan , Ihor Mryglod

We reconsider some fundamental aspects of the fluid mechanics model, and the derivation of continuum flow equations from gas kinetic theory. Two topologies for fluid representation are presented, and a set of macroscopic equations are…

Fluid Dynamics · Physics 2007-05-23 S. Kokou Dadzie , Jason M. Reese , Colin R. McInnes

We evaluate the scattering functions of a gas of spin-polarized, non-interacting fermions confined in a quasi-onedimensional harmonic trap at zero temperature. The main focus is on the inelastic scattering spectrum and on the angular…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

The flamelet approach offers a viable framework for combustion modeling of homogeneous charge compression ignition (HCCI) engines under stratified mixture conditions. Scalar dissipation rate acts as a key parameter in flamelet-based…

Fluid Dynamics · Physics 2014-12-16 Saurabh Gupta , SeungHwan Keum , Pinaki Pal , Hong G. Im

The dynamics of the particle-size distribution (PSD) of the polydispersed fuel is important for evaluation of the combustion process. In this paper we unfold the mystery of the dynamics represented by the PSD and gain new insight for the…

Soft Condensed Matter · Physics 2020-02-20 Shlomo Hareli , OPhir Nave , Vladimir Gol'dshtein

Based on the non-Markov diffusion equation taking into account the spatial fractality and modeling for the generalized coefficient of particle diffusion…

Statistical Mechanics · Physics 2024-06-19 P. Kostrobij , M. Tokarchuk , B. Markovych , I. Ryzha

Using pole decompositions as starting points, the one parameter (-1 =< c < 1) nonlocal and nonlinear Zhdanov-Trubnikov (ZT) equation for the steady shapes of premixed gaseous flames is studied in the large-wrinkle limit. The singular…

Fluid Dynamics · Physics 2015-06-05 Gaëtan Borot , Bruno Denet , Guy Joulin

The paper discusses a variant of the local similarity theory, employing the second moment of vertical velocity and the "spectral" Prandtl mixing length as basic parameters. This approach allows expressing the turbulent exchange coefficient,…

Atmospheric and Oceanic Physics · Physics 2024-12-10 A. N. Vulfson , P. V. Nikolaev

Within a recently developed mode-coupling theory for fluids confined to a slit we elaborate numerical results for the long-time limits of suitably generalized intermediate scattering functions. The theory requires as input the density…

Soft Condensed Matter · Physics 2021-10-29 Suvendu Mandal , Simon Lang , Vitalie Boţan , Thomas Franosch

We consider a time-space fractional diffusion equation with a variable coefficient and investigate the inverse problem of reconstructing the source term, after regularizing the problem with the quasiboundary value method to mitigate the…

Numerical Analysis · Mathematics 2025-10-21 Asim Ilyas , Muhammad Faisal Khan , Rosita L. Sormani , Giacomo Tento , Stefano Serra-Capizzano

The liquid-gas density ratio is a key property of multiphase flow methods to model real fluid systems. Here, a chemical-potential multiphase lattice Boltzmann method is constructed to realize extremely large density ratios. The simulations…

Computational Physics · Physics 2020-07-15 Binghai Wen , Liang Zhao , Wen Qiu , Yong Ye , Xiaowen Shan

We show that a Galilean invariant version of fluid dynamics can be derived by the methods of statistical dynamics using Maxwell's balance equations. The basic equation is non-local, and might replace Boltzmann's equation if the latter turns…

Mathematical Physics · Physics 2007-05-23 R. F. Streater

A model of interacting motile chaotic elements is proposed. The chaotic elements are distributed in space and interact with each other through interactions depending on their positions and their internal states. As the value of a governing…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Tatsuo Shibata , Kunihiko Kaneko
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