2022 journal article
Accelerated Deterministic Phonon Transport With Consistent Material Temperature and Intensities
ASME JOURNAL OF HEAT AND MASS TRANSFER, 145(1).
author keywords: phonon transport; self-adjoint angular flux; MFEM; acceleration; gray diffusion acceleration; anderson acceleration
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11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: May 30, 2023
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.