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This paper introduces a novel approach to approximate a broad range of reaction-convection-diffusion equations using conforming finite element methods while providing a discrete solution respecting the physical bounds given by the…

Numerical Analysis · Mathematics 2023-11-28 Abdolreza Amiri , Gabriel R. Barrenechea , Tristan Pryer

Finite-temperature properties of the frustrated Hubbard model are theoretically examined by using the recently proposed thermal pure quantum state, which is an unbiased numerical method for finite-temperature calculations. By performing…

Strongly Correlated Electrons · Physics 2018-01-30 Takahiro Misawa , Youhei Yamaji

This study deals with a simple pure fluid whose temperature is slightly below its critical temperature and whose density is nearly critical, so that the gas and liquid phases coexist. Under equilibrium conditions, such a liquid completely…

Fluid Dynamics · Physics 2016-01-27 Y Garrabos , C Lecoutre-Chabot , J Hegseth , Vadim Nikolayev , D Beysens , J. -P Delville

The thermodynamical properties of a quantized electromagnetic field inside a box with perfectly conducting walls are studied using a regularization scheme that permits to obtain finite expressions for the thermodynamic potentials. The…

Quantum Physics · Physics 2007-05-23 R. Jauregui , C. Villarreal , S. Hacyan

A nonequilibrium distribution function of microscopic thermal current is studied by a direct numerical simulation in a thermal conducting steady state of particle systems. Two characteristic temperatures of the thermal current are…

Statistical Mechanics · Physics 2009-04-01 Satoshi Yukawa , Takashi Shimada , Fumiko Ogushi , Nobuyasu Ito

We consider the thermal dunking problem, in which a solid body is suddenly immersed in a fluid of different temperature, and study both the temporal evolution of the solid and the associated Biot number -- a non-dimensional heat transfer…

Computational Engineering, Finance, and Science · Computer Science 2025-11-11 Theron Guo , Kento Kaneko , Claude Le Bris , Anthony T. Patera

We investigate the influence of the temperature boundary conditions at the sidewall on the heat transport in Rayleigh-B\'enard (RB) convection using direct numerical simulations. For relatively low Rayleigh numbers Ra the heat transport is…

Fluid Dynamics · Physics 2014-12-24 Richard J. A. M. Stevens , Detlef Lohse , Roberto Verzicco

The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions…

Classical Physics · Physics 2024-03-08 Áron Pozsár , Mátyás Szücs , Róbert Kovács , Tamás Fülöp

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

Analysis of PDEs · Mathematics 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

Unlike an equilibrium gas, the distribution of active particles can be very sensitive to what happens at the boundaries of their container. Experiments and simulations have previously highlighted the possibility of exploiting this behavior…

This work aims to provide a computational model that can describe the complex behaviour of refractory industrial components under working conditions. Special attention is given to the asymmetric tension-compression behaviour and its…

Computational Engineering, Finance, and Science · Computer Science 2024-11-20 Lorenzo Fiore , Andrea Piccolroaz

Room temperature compressed air was pumped into a short (H/D = 0.18) vortex chamber. Experiments revealed temperature separation. The highest temperature of the periphery was 465 degC, and the lowest temperature of the central zone was -45…

Fluid Dynamics · Physics 2012-11-08 Yan Beliavsky

We study the Radiative Transfer equations coupled with the time dependent temperature equation of a fluid: existence, uniqueness, a maximum principle are established. A short numerical section illustrates the pros and cons of the method.

Analysis of PDEs · Mathematics 2021-12-30 Francois Golse , Olivier Pironneau

We study the thermodynamics of ultracold Bose atoms in optical lattices by numerically diagonalizing the mean-field Hamiltonian of the Bose-Hubbard model. This method well describes the behavior of long-range correlations and therefore is…

Other Condensed Matter · Physics 2009-11-11 Xiancong Lu , Yue Yu

We studied experimentally the effect of turbulent thermal diffusion in a multi-fan turbulence generator which produces a nearly homogeneous and isotropic flow with a small mean velocity. Using Particle Image Velocimetry and Image Processing…

Fluid Dynamics · Physics 2009-11-11 A. Eidelman , T. Elperin , N. Kleeorin , I. Rogachevskii , I. Sapir-Katiraie

In this study, a smoothed particle hydrodynamics (SPH) model that applies a segment-based boundary treatment is used to simulate natural convection. In a natural convection simulated using an SPH model, the wall boundary treatment is a…

Fluid Dynamics · Physics 2023-11-28 Hyung-Jun Park , Jaekwang Kim , Hyojin Kim

We study the refrigerator working between a finite-sized cold heat bath and an infinite-sized hot heat bath (environment) in the nonlinear response regime. We assume that the initial temperature $T_i$ of the finite-sized cold heat bath…

Statistical Mechanics · Physics 2025-09-01 I. Iyyappan , Yuki Izumida , Sibasish Ghosh

This thesis describes several topics related to finite temperature studies of strongly correlated systems: finite temperature density matrix embedding theory (FT-DMET), finite temperature metal-insulator transition, and quantum algorithms…

Strongly Correlated Electrons · Physics 2023-03-01 Chong Sun

Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown…

Analysis of PDEs · Mathematics 2007-05-23 Peter A. Becker

In this article, we present the governing equations for the temperature field upstream and downstream of the periodically developed flow region in channels with arrays of periodic solid structures. From the ansatz that the temperature field…

Fluid Dynamics · Physics 2024-03-26 Geert Buckinx