期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 58, 期 1, 页码 565-589出版社
SIAM PUBLICATIONS
DOI: 10.1137/19M1246444
关键词
Navier-Stokes equations; proper orthogonal decomposition; artificial compression
资金
- NSF [DMS 1522267, 1817542, CBET 1609120, DMS 1821145]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1817542] Funding Source: National Science Foundation
We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous incompressible fluid flows. The new AC-ROM provides approximations not only for velocity but also for pressure, which is needed to calculate forces on bodies in the flow and to connect the simulation parameters with pressure data. The new AC-ROM does not require that the velocity-pressure ROM spaces satisfy the inf-sup (Ladyzhenskaya-Babuska-Brezzi) condition, and its basis functions are constructed from data that are not required to be weakly divergence-free. We prove error estimates for the reduced basis discretization of the AC-ROM. We also investigate numerically the new AC-ROM in the simulation of a two-dimensional flow between offset cylinders.
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