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We further elaborate on the generalized formulation for cubic equation of state proposed by Cismondi and Mollerup [Fluid Phase Equilib. 232 (2005)]. With this formulation all well-known cubic equations of state can be described with a…

Fluid Dynamics · Physics 2022-11-30 Theresa Trummler , Martin Glatzle , Alexander Doehring , Noah Urban , Markus Klein

In this letter, using energy transfers, we demonstrate a route to thermalization in an isolated ensemble of realistic gas particles. We performed a grid-free classical molecular dynamics simulation of two-dimensional Lenard-Jones gas. We…

Fluid Dynamics · Physics 2024-08-13 Rauoof Wani , Mahendra Verma , Shashwat Nirgudkar , Sanat Tiwari

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

Statistical Mechanics · Physics 2024-12-23 Zhaoyu Fei

A consistent and conservative Phase-Field method, including both the model and scheme, is developed for multiphase flows with an arbitrary number of immiscible and incompressible fluid phases. The consistency of mass conservation and the…

Computational Physics · Physics 2022-02-15 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

The transport coefficients of a dilute gas of inelastic hard spheres immersed in a molecular gas are determined. We assume that the number density of the granular gas is much smaller than that of the surrounding molecular gas, so that the…

Soft Condensed Matter · Physics 2022-06-07 Rubén Gómez González , Vicente Garzó

This work expands on our recently introduced low Mach enthalpy method [1] for simulating the melting and solidification of a phase change material (PCM) alongside (or without) an ambient gas phase. The method captures PCM's volume change…

Fluid Dynamics · Physics 2025-03-11 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur…

Numerical Analysis · Mathematics 2025-03-24 Zhaoyang Wang , Huaxiong Huang , Ping Lin , Shixin Xu

Lattice kinetic equations incorporating the effects of external/internal force fields via a shift of the local fields in the local equilibria, are placed within the framework of continuum kinetic theory. The mathematical treatment reveals…

Fluid Dynamics · Physics 2015-05-13 M. Sbragaglia , R. Benzi , L. Biferale , H. Chen , X. Shan , S. Succi

Understanding hydrodynamization in microscopic models of heavy-ion collisions has been an important topic in current research. Many lessons obtained within the strongly-coupled (holographic) models originate from the properties of transient…

Nuclear Theory · Physics 2018-09-24 Michal P. Heller , Viktor Svensson

Accurate numerical modeling of compressible flows, particularly in the turbulent regime, requires a method that is non-dissipative and stable at high Reynolds ($Re$) numbers. For a compressible flow, it is known that discrete conservation…

Fluid Dynamics · Physics 2022-05-23 Suhas S. Jain , Parviz Moin

A relativistic version of the rational extended thermodynamics of polyatomic gases based on a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal mode is…

Statistical Mechanics · Physics 2022-01-12 Takashi Arima , Maria Cristina Carrisi , Sebastiano Pennisi , Tommaso Ruggeri

A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with arbitrary specific heat ratio and Prandtl number is presented. In the new scheme, which is based on a two-dimensional 16-discrete-velocity model, the moment…

Soft Condensed Matter · Physics 2015-05-18 Feng Chen , Aiguo Xu , Guangcai Zhang , Yingjun Li , Sauro Succi

Accurate aerodynamic and aerothermodynamic predictions are crucial for numerous hypersonic applications. This paper proposes a gas-kinetic scheme (GKS) coupled with a two-temperature kinetic model, which distinguishes between the…

Fluid Dynamics · Physics 2026-01-06 Xingjian Gao , Xing Ji , Hualin Liu , Gang Chen

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 averaging the…

Fluid Dynamics · Physics 2024-01-31 Hudong Chen , Ilya Staroselsky , Katepalli R. Sreenivasan , V. Yakhot

We present a non-isothermal mesoscopic model for investigation of the phase transition dynamics of thermoresponsive polymers. Since this model conserves energy in the simulations, it is able to correctly capture not only the transient…

Chemical Physics · Physics 2015-04-28 Zhen Li , Yu-Hang Tang , Xuejin Li , George Em Karniadakis

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as…

Analysis of PDEs · Mathematics 2020-01-08 Miroslav Bulíček , Eduard Feireisl , Josef Málek

A general lattice Boltzmann method for simulation of fluids with tailored transport coefficients is presented. It is based on the recently introduced quasi-equilibrium kinetic models, and a general lattice Boltzmann implementation is…

Statistical Mechanics · Physics 2007-05-23 S. Ansumali , S. Arcidiacono , S. Chikatamarla , N. I. Prasianakis , A. N. Gorban , I. V. Karlin

The modeling of multi-phase flow is very challenging, given the range of scales as well as the diversity of flow regimes that one encounters in this context. We revisit the discrete equation method (DEM) for two-phase flow in the absence of…

Numerical Analysis · Mathematics 2023-03-01 Marco Petrella , Remi Abgrall , Siddhartha Mishra

In this work, we extend the discrete unified gas-kinetic scheme (DUGKS) [Guo et al., Phys. Rev. E 88, 033305 (2013)] to continue two-phase flows. In the framework of DUGKS, two kinetic model equations are used to solve the…

Computational Physics · Physics 2018-10-02 Chunhua Zhang , Kang Yang , Zhaoli Guo

We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodynamically consistent admitting an entropy balance equation. We…

Analysis of PDEs · Mathematics 2021-09-07 Eduard Feireisl , Madalina Petcu , Bangwei She