New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods

作者：Bazilevs Yuri; Takizawa Kenji; Tezduyar Tayfun E^*

来源：Mathematical Models and Methods in Applied Sciences, 2015, 25(12): 2217-2226.

DOI：10.1142/S0218202515020029

• Stabilized formulation
• DSD/SST formulation
• fluid-structure interaction
• FSI
• ALE method
• space-time method
• variational multiscale formulation
• VMS
• ALE-VMS formulation
• ST-VMS formulation

In this paper, we provide a brief overview of the development of stabilized and multiscale methods in fluid dynamics. We mainly focus on recent developments and new directions in the variational multiscale (VMS) methods. We also discuss applications of the VMS techniques to fluid dynamics problems involving computational challenges associated with high-Reynolds-number flows, wall-bounded turbulent flows, flows with moving domains including subdomains in relative motion, and free-surface flows.

• 出版日期2015-11