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This study presents a novel methodology for integrating physics-informed loss functions into deep learning models using OpenFOAM's comprehensive data structures. Leveraging the robust and flexible capabilities of OpenFOAM's data structure…

Fluid Dynamics · Physics 2024-08-20 Yijin Mao , Yuwen Zhang

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas…

High Energy Physics - Phenomenology · Physics 2016-02-17 Krzysztof Redlich , Kacper Zalewski

In this paper, we consider the quasi-gas-dynamic (QGD) model in a multiscale environment. The model equations can be regarded as a hyperbolic regularization and are derived from kinetic equations. So far, the research on QGD models has been…

Numerical Analysis · Mathematics 2021-06-30 Boris Chetverushkin , Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

An enthalpy-based uniform lattice Boltzmann flux solver (EULBFS) is proposed in this paper for simulating liquid solidification, incorporating the effects of volume expansion and shrinkage caused by density differences between liquid and…

High Energy Physics - Lattice · Physics 2025-07-08 Jinxiang Zhou , Liming Yang , Yaping Wang , Jie Wu , Xiaodong Niu

The paper investigates shock-induced vortical flows within inhomogeneous media of nonuniform thermodynamic properties. Numerical simulations are performed using an Eularian type mathematical model for compressible multi-component flow…

Fluid Dynamics · Physics 2017-06-28 A. F. Nowakowski , A. Ballil , F. C. G. A Nicolleau

In probability density function (PDF) methods a transport equation is solved numerically to compute the time and space dependent probability distribution of several flow variables in a turbulent flow. The joint PDF of the velocity…

Fluid Dynamics · Physics 2010-06-04 J. Bakosi , P. Franzese , Z. Boybeyi

A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equation is proposed in the form that the collision integral is a…

Analysis of PDEs · Mathematics 2026-03-31 Kazuo Aoki , Niclas Bernhoff

Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computational fluid dynamics methods. Starting…

Mathematical Physics · Physics 2010-09-23 Kun Xu , Quanhua Sun , Pubing Yu

Fluid simulations, especially at high Reynolds numbers, are computationally expensive on classical computers, making them promising application targets for quantum computing. Recent studies have combined the lattice Boltzmann method (LBM)…

Quantum Physics · Physics 2026-05-28 Kazumasa Ueno , Keita Kanno , Yasunori Lee

We explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

Forests play an important role in influencing the wind resource in atmospheric boundary layers and the fatigue life of wind turbines. Due to turbulence, a difficulty in the simulation of the forest effects is that flow statistical and…

An overview of recent results pertaining to the hydrodynamic description (both Newtonian and non-Newtonian) of granular gases described by the Boltzmann equation for inelastic Maxwell models is presented. The use of this mathematical model…

Soft Condensed Matter · Physics 2011-08-30 V. Garzó , A. Santos

A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment conservations are proposed to enforce the boundary conditions with given macroscopic…

Computational Physics · Physics 2025-10-16 Jun Li , Wai Hong Ronald Chan , Zhe Feng , Chenglei Wang

Numerical simulations of compressible real-fluid flows are notoriously plagued by spurious pressure oscillations arising in regions of abrupt flow variations. As a possible remedy, several numerical formulations enforce the pressure…

Fluid Dynamics · Physics 2026-05-27 Gennaro Coppola , Alessandro Aiello , Carlo De Michele

Numerical solution of Euler-Euler model using different in-house, open source and commercial software can generate significantly different results, even when the governing equations and the initial and boundary conditions are exactly same.…

Fluid Dynamics · Physics 2024-06-03 Yige Liu , Mingming He , Jianhua Chen , Wen Li , Bidan Zhao , Ji Xu , Junwu Wang

We introduce a finite-volume numerical scheme for solving stochastic gradient-flow equations. Such equations are of crucial importance within the framework of fluctuating hydrodynamics and dynamic density functional theory. Our proposed…

In order to treat immiscible two-phase flows at large density ratios and high Reynolds numbers, a three-dimensional code based on the discrete unified gas kinetic scheme (DUGKS) is developed, incorporating two major improvements. First, the…

Fluid Dynamics · Physics 2022-10-05 Jun Lai , Zuoli Xiao , Lian-Ping Wang

This work demonstrates a computational framework for simulating vaporizing, liquid-gas flows. It is developed for the general vaporization problem which solves the vaporization rate based as from the local thermodynamic equilibrium of the…

Computational Physics · Physics 2023-07-21 John Palmore , Olivier Desjardins

Gaseous flows under an external force are intrinsically defined by their multi-scale nature due to the large variation of densities along the forcing direction. Devising a numerical method capable of accurately and efficiently solving…

Computational Physics · Physics 2025-07-15 Shuangqing Liu , Zuoxu Li , Yonghao Zhang , Tianbai Xiao

In this paper, we consider the capabilities of the Boltzmann equation with the Shakhov and ellipsoidal models for the collision term to capture the characteristics of rarefied gas flows. The benchmark is performed by comparing the results…

Computational Physics · Physics 2020-07-21 Victor E. Ambrus , Felix Sharipov , Victor Sofonea
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