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Accelerated Deterministic Phonon Transport With Consistent Material Temperature and Intensities

Journal Article · · ASME Journal of Heat and Mass Transfer
DOI:https://doi.org/10.1115/1.4056140· OSTI ID:2424125
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Abstract

We present a method for deterministically solving the frequency and temperature dependent phonon radiative transport (PRT) equation in the single-mode relaxation time (SMRT) approximation in the self-adjoint angular flux (SAAF) form. To handle the nonlinear coupling between the phonon intensities and the material temperature, we apply a linearization approach that is similar to one in thermal radiative transport. This procedure leads to the PRT equation with pseudo-scattering. The method presented includes acceleration of both the inner pseudo-scattering source iterations and outer temperature iteration with a gray diffusion synthetic acceleration (DSA) and Anderson acceleration, respectively. We use the finite-element method to discretize the PRT equation in space and the method of discrete ordinates (SN) for angular discretization. The proposed method is verified by a gray method of manufactured solutions problem and demonstrated on a problem using temperature and direction dependent multigroup data from lithium aluminate (LiAlO2). The iterative performance of the acceleration method in each test is then compared to the unaccelerated method.

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-76RL01830
OSTI ID:
2424125
Journal Information:
ASME Journal of Heat and Mass Transfer, Journal Name: ASME Journal of Heat and Mass Transfer Journal Issue: 1 Vol. 145; ISSN 2832-8450
Publisher:
ASME
Country of Publication:
United States
Language:
English

References (15)

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