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Published September 28, 2018 | Submitted + Supplemental Material + Published
Journal Article Open

Particles on Demand for Kinetic Theory

Abstract

A novel formulation of fluid dynamics as a kinetic theory with tailored, on-demand constructed particles removes restrictions on flow speed and temperature as compared to its predecessors, the lattice Boltzmann methods and their modifications. In the new kinetic theory, discrete particles are determined by a rigorous limit process which avoids ad hoc assumptions about their velocities. Classical benchmarks for incompressible and compressible flows demonstrate that the proposed discrete-particles kinetic theory opens up an unprecedented wide domain of applications for computational fluid dynamics.

Additional Information

© 2018 American Physical Society. Received 12 June 2018; revised manuscript received 3 August 2018; published 25 September 2018. This work was supported by the SNF Grants No. P2EZP2_178436 (B. D.) and No. 200021-172640 (F. B.), and the Eidgenössische Technische Hochschule (ETH) research Grant No. ETH-13 17-1. Computational resources at the Swiss National Super Computing Center (CSCS) were provided under Grant No. s800.

Attached Files

Published - PhysRevLett.121.130602.pdf

Submitted - 1806.05089.pdf

Supplemental Material - SM.pdf

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Created:
August 19, 2023
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October 18, 2023