The worm-LBM: enabling accurate ballistic-diffusive phonon transport
ORAL
Abstract
Direct discretization schemes for the Boltzmann transport equation (BTE) are plagued by numerical smearing, angular false scattering, and ray effect. The lattice Boltzmann method (LBM) has the advantage that it does not suffer from the first two problems. But, the limited angular resolution responsible for the ray effect hinders the application of conventional LBM in the ballistic regime.
We propose the worm-LBM algorithm, which allows for a high number of propagation directions by alternating in time the basic directions described within the next neighbor LBM schemes [1]. Here we will present the algorithm's structure and its accuracy for describing various ballistic-diffusive phonon transport cases.
[1] R. Hammer, V. Fritz, and N. Bedoya-Martínez, "The worm-LBM, an algorithm for a high number of propagation directions on a lattice Boltzmann grid: the case of phonon transport" arXiv preprint arXiv:1911.00180v2 (2020).
We propose the worm-LBM algorithm, which allows for a high number of propagation directions by alternating in time the basic directions described within the next neighbor LBM schemes [1]. Here we will present the algorithm's structure and its accuracy for describing various ballistic-diffusive phonon transport cases.
[1] R. Hammer, V. Fritz, and N. Bedoya-Martínez, "The worm-LBM, an algorithm for a high number of propagation directions on a lattice Boltzmann grid: the case of phonon transport" arXiv preprint arXiv:1911.00180v2 (2020).
*We gratefully acknowledge the financial support under the COMET program within the K2 Center IC-MPPE (Project No 859480). This program is supported by the Austrian Federal Ministries BMK and BMDW, represented by the Austrian FFG, and the federal states of Styria, Upper Austria and Tyrol.
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Presenters
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René Hammer
- Materials Center Leoben Forschung GmbH (MCL)
- Simulation, Materials Center Leoben Forschung GmbH