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相关论文: Multilevel Method for Thermal Radiative Transfer P…

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Thermal radiative transfer (TRT) is an essential piece of physics in inertial confinement fusion, high-energy density physics, astrophysics etc. The physical models of this type of problem are defined by strongly coupled differential…

数值分析 · 数学 2025-08-06 Dmitriy Y. Anistratov , Terry S. Haut

The theory of heat transfer by electromagnetic radiation is based on the radiative transfer equation (RTE) for the radiation intensity, or equivalently on the Boltzmann transport equation (BTE) for the photon distribution. We focus in this…

统计力学 · 物理学 2010-09-17 Thomas Christen , Frank Kassubek , Rudolf Gati

A new variable Eddington factor (VEF) model is presented for nonlinear problems of thermal radiative transfer (TRT). The VEF model is a data-driven one that acts on known (a-priori) radiation-diffusion solutions for material temperatures in…

数值分析 · 数学 2025-08-06 Joseph M. Coale , Dmitriy Y. Anistratov

In this paper we present a multilevel projection-based iterative scheme for solving thermal radiative transfer problems that performs iteration cycles on the high-order Boltzmann transport equation (BTE) and low-order moment equations.…

数值分析 · 数学 2026-03-18 Joseph M. Coale , Dmitriy Y. Anistratov

We present a new approach for solving high-order thermal radiative transfer (TRT) using the Variable Eddington Factor (VEF) method (also known as quasidiffusion). Our approach leverages the VEF equations, which consist of the first and…

计算物理 · 物理学 2021-04-19 Ben C. Yee , Samuel S. Olivier , Ben S. Southworth , Milan Holec , Terry S. Haut

This paper presents approximation methods for time-dependent thermal radiative transfer problems in high energy density physics. It is based on the multilevel quasidiffusion method defined by the high-order radiative transfer equation (RTE)…

数值分析 · 数学 2026-03-18 Dmitriy Y. Anistratov , Joseph M. Coale

This paper presents nonlinear iterative methods for the fundamental thermal radiative transfer (TRT) model defined by the time-dependent multifrequency radiative transfer (RT) equation and the material energy balance (MEB) equation. The…

数值分析 · 数学 2024-09-24 Dmitriy Y. Anistratov

Although the Boltzmann transport equation (BTE) has been exploited to investigate non-diffusive phonon transport for decades, due to the challenges of solving this integro-differential equation, most standard techniques for thermal…

材料科学 · 物理学 2024-08-13 Tao Li , Bo Jiang , Zhen Chen

The phonon Boltzmann transport equation (BTE) is widely utilized to study non-diffusive thermal transport. We find a solution of the BTE in the thin film transient thermal grating (TTG) experimental geometry by using a recently developed…

介观与纳米尺度物理 · 物理学 2016-07-15 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

The Boltzmann transport equation (BTE) has proven indispensable in elucidating quasiballistic heat dynamics. Experimental observations of nondiffusive thermal transients, however, are interpreted almost exclusively through purely diffusive…

介观与纳米尺度物理 · 物理学 2016-11-23 Bjorn Vermeersch

We present a new method for the numerical solution of the radiative-transfer equation (RTE) in multidimensional scenarios commonly encountered in computational astrophysics. The method is based on the direct solution of the Boltzmann…

计算物理 · 物理学 2020-10-06 L. R. Weih , A. Gabbana , D. Simeoni , L. Rezzolla , S. Succi , R. Tripiccione

Thermal Radiative Transfer (TRT) is the dominant energy transfer mechanism in high-energy density physics with applications in inertial confinement fusion and astrophysics. The stiff interactions between the material and radiation fields…

计算物理 · 物理学 2019-05-01 Hans Hammer , HyeongKae Park , Luis Chacon

Accurate models of carrier transport are essential for describing the electronic properties of semiconductor materials. To the best of our knowledge, the current models following the framework of the Boltzmann transport equation (BTE)…

材料科学 · 物理学 2015-06-17 Alireza Faghaninia , Joel W. Ager , Cynthia S. Lo

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for convection heat transfer in porous media under local thermal non-equilibrium (LTNE) condition. The model is constructed within the framework of the…

计算物理 · 物理学 2016-10-18 Q. Liu , Y. -L. He

Thermal radiative transfer (TRT) presents significant computational challenges due to the stiff, nonlinear coupling between radiation and material energy, particularly in multigroup, high-fidelity transport models. In this work, we develop…

数值分析 · 数学 2026-03-24 Samuel Olivier , James S. Warsa , HyeongKae Park

The phonon Boltzmann transport equation (BTE) is a powerful tool for studying non-diffusive thermal transport. Here, we develop a new universal variational approach to solving the BTE that enables extraction of phonon mean free path (MFP)…

介观与纳米尺度物理 · 物理学 2016-04-13 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

We present a numerical method for solving the time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity or cross-section varies rapidly in energy (frequency). The approach is based on…

数值分析 · 数学 2016-12-21 T. S. Haut , C. Ahrens , A. Jonko , R. Lowrie , A. Till

Fast and accurate predictions of the spatiotemporal distributions of temperature are crucial to the multi-scale thermal management and safe operation of microelectronic devices. To realize it, an efficient semi-implicit Lax-Wendroff kinetic…

计算物理 · 物理学 2024-12-04 Shuang Peng , Songze Chen , Hong Liang , Chuang Zhang

MCBTE solves the linearized Boltzmann transport equation for phonons in three dimensions using a variance-reduced Monte Carlo solution approach. The algorithm is suited for both transient and steady-state analysis of thermal transport in…

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

介观与纳米尺度物理 · 物理学 2015-06-23 Jesse Maassen , Mark Lundstrom
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