This paper puts forth two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows: the dynamic subgrid-scale model and the variational multiscale model. These models, which are considered state-of-the-art in large eddy simulation, together with the mixing length and the Smagorinsky closure models, are tested in the numerical simulation of a 3D turbulent flow around a circular cylinder at Re = 1,000. Two criteria are used in judging the performance of the proper orthogonal decomposition reduced-order models: the kinetic energy spectrum and the time evolution of the POD coefficients. All the numerical results are benchmarked against a direct numerical simulation. Based on these numerical results, we conclude that the dynamic subgrid-scale and the variational multiscale models perform best.
HEPIA, University of Applied Sciences and Arts of Western Switzerland（西方瑞士应用艺术大学 HEPIA）；Department of Computer Science, University of Geneva（日内瓦大学计算机科学系）
Wave Particle Turbulent Simulation of Spatially Developing Round Jets Using a Non Equilibrium Transport Model with a Mixing Length Characteristic Time Closure
Hong Kong University of Science and Technology（香港科技大学）；Shenzhen Research Institute, Hong Kong University of Science and Technology（香港科技大学深圳研究院）
Electron neural closure for turbulent magnetosheath simulations: energy channels
Centre for mathematical Plasma Astrophysics, Department of Mathematics, KU Leuven（数学等离子体天文学中心，数学系，KU莱顿大学）；Department of Physics, University of Wisconsin-Madison（物理系，威斯康星大学麦迪逊分校）
Towards extraction of orthogonal and parsimonious non-linear modes from turbulent flows
KTH Royal Institute of Technology（瑞典皇家理工学院）；Universidad Politécnica de Madrid（马德里理工大学）；Universitat Politècnica de València（瓦伦西亚理工大学）；Swedish e-Science Research Centre (SeRC)（瑞典电子科学研究中心）
On the importance of stochasticity in closures of turbulence
University of Rome “Tor Vergata”, Italy（罗马托尔维加塔大学）；LTCI, Télécom Paris, IP Paris, France（巴黎理工学院电信学院）；Inria and École Polytechnique, IP Paris, France（法国国家信息与自动化研究所与巴黎综合理工学院）；Dept. of Applied Mathematics & Statistics, The Johns Hopkins University, Baltimore, MD, USA（约翰斯·霍普金斯大学）；Instituto de Matemática Pura e Aplicada – IMPA, Rio de Janeiro, Brazil（巴西纯粹与应用数学研究所）
