The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Advances in experimental techniques and the ever-increasing fidelity of numerical
simulations have led to an abundance of data describing fluid flows. This review discusses a …

Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …

The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …

Scientific research and engineering practice often require the modeling and decomposition
of nonlinear systems. The dynamic mode decomposition (DMD) is a novel Koopman-based …

The Koopman theory, a concept to globally model nonlinear signals by a linear Hamiltonian,
has been at the frontier of fluid mechanics research for the last decade. Wind engineering …

随着计算流体力学和先进流动测试技术的发展, 流动的刻画越来越精细, 伴随而来的海量流场
信息的模态提取与复杂动力学特征的模型化成为当前流体力学的研究热点. 动力学模态分解 …

The development of better laser-based experimental methods and the fast rise in computer
power has created an unprecedented shift in turbulent combustion research. The range of …

Flow–flame interactions were investigated in an optically accessible solid fuel ramjet
combustor. Experiments were performed with a single hydroxyl-terminated polybutadiene …

Insufficient understanding of complex flow structures in multi-shaft stirred reactors hinders
industrial adoption. In this work, Proper Orthogonal Decomposition (POD) and Dynamic …