4 papers
Physics informed wavelet Fourier representation for multiscale fluid dynamics
Chao Wang, Shilong Li, Yunpeng Wang +4
Multiscale fluid flows often contain localized flow structures, such as viscous shock layers, wet-dry fronts, steady viscous wakes, decaying vortical structures, and vortex-sheddin…
Self-scaling tensor basis neural network for Reynolds stress modeling of wall-bounded turbulence
Zelong Yuan, Yuzhu Pearl Li
Recent advances in data-driven turbulence modeling have established tensor basis neural networks (TBNN) as a physically grounded framework for Reynolds-stress closure in Reynolds-a…
Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics
Chunyu Guo, Lucheng Sun, Shilong Li +2
Solving partial differential equations (PDEs) is essential in scientific forecasting and fluid dynamics. Traditional approaches often incur expensive computational costs and trade-…
Physics-informed Fourier Basis Neural Network for Fluid Mechanics
Chao Wang, Shilong Li, Zelong Yuan +1
Solving partial differential equations (PDEs) is an important yet challenging task in fluid mechanics. In this study, we embed an improved Fourier series into neural networks and p…