AN ARTIFICIAL COMPRESSION REDUCED ORDER MODEL
AN ARTIFICIAL COMPRESSION REDUCED ORDER MODEL
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DOI：
10.1137/19m1246444
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发表时间：
2020-01-01
影响因子：
2.9
通讯作者：
Schneier, Michael
中科院分区：
文献类型：
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作者：
Decaria, Victor;Iliescu, Traian;Schneier, Michael
提出了一种新的人工压缩降阶模型（AC-ROM），用于粘性不可压缩流体流动的数值模拟。新的AC-ROM不仅提供了速度的近似值，而且还提供了压力的近似值，这是计算流中物体上的力以及将模拟参数与压力数据联系起来所需要的。新的AC-ROM不要求速度-压力ROM空间满足inf-sup（Ladyzhenskaya-Babuska-Brezzi）条件，并且其基函数由不要求弱发散自由的数据构造。我们证明了误差估计的减少基离散的AC-ROM。我们还研究了数值模拟的二维流动的偏移柱之间的新的AC-ROM。
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.