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Oblapenko, Georgii (2023) Use of Tensor-Train Decompositions with a Discrete Velocity Boltzmann Solver. ArXiv. [Other]
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Official URL: https://arxiv.org/abs/2303.15142
Abstract
In the present work, the Tensor-Train decomposition algorithm is applied to reduce the Memory footprint of a stochastic discrete velocity solver for rarefied gas dynamics simulation. An energy-conserving modification to the algorithm is proposed, along with an interleaved ollision/convection routine which allows for easy application of higher-order convection schemes. The performance of the developed algorithm is analyzed for several 0- and 1-dimensional model problems in terms of solution error and reduction in memory use requirements.
| Item URL in elib: | https://elib.dlr.de/194487/ | ||||||||
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| Document Type: | Other | ||||||||
| Additional Information: | Subjects: Fluid Dynamics (physics.flu-dyn) Cite as: arXiv:2303.15142 [physics.flu-dyn] (or arXiv:2303.15142v1 [physics.flu-dyn] for this version) | ||||||||
| Title: | Use of Tensor-Train Decompositions with a Discrete Velocity Boltzmann Solver | ||||||||
| Authors: |
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| Date: | 26 March 2023 | ||||||||
| Journal or Publication Title: | ArXiv | ||||||||
| Refereed publication: | No | ||||||||
| Open Access: | Yes | ||||||||
| DOI: | 10.48550/arXiv.2303.15142 | ||||||||
| Page Range: | pp. 1-18 | ||||||||
| Editors: |
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| Publisher: | ArXiv | ||||||||
| Status: | Published | ||||||||
| Keywords: | Boltzmann equation, discrete velocity method, tensor decomposition, tensor train, rarefied gas, low-rank approximation | ||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||
| HGF - Program: | Space | ||||||||
| HGF - Program Themes: | Space Transportation | ||||||||
| DLR - Research area: | Raumfahrt | ||||||||
| DLR - Program: | R RP - Space Transportation | ||||||||
| DLR - Research theme (Project): | R - Reusable Space Systems and Propulsion Technology | ||||||||
| Location: | Göttingen | ||||||||
| Institutes and Institutions: | Institute for Aerodynamics and Flow Technology > Spacecraft, GO | ||||||||
| Deposited By: | Ecker, Tobias | ||||||||
| Deposited On: | 28 Jul 2023 09:25 | ||||||||
| Last Modified: | 28 Jul 2023 09:25 |
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