Fractional and tempered fractional models for Reynolds-averaged Navier–Stokes equations

Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network

(2020) Pavan Pranjivan Mehta et al.   Fractional Calculus and Applied Analysis

A fractional subgrid-scale model for turbulent flows: Theoretical formulation and a priori study

(2020) Mehdi Samiee et al.   PHYSICS OF FLUIDS

Adaptive activation functions accelerate convergence in deep and physics-informed neural networks

(2019) Ameya D. Jagtap et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

History effect on the Reynolds stress in turbulent swirling flow

(2017) Fujihiro Hamba   PHYSICS OF FLUIDS

Tempered fractional calculus

(2015) Farzad Sabzikar et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Direct numerical simulation of turbulent channel flow up to

(2015) Myoungkyu Lee et al.   JOURNAL OF FLUID MECHANICS

Turbulent plane Couette flow at moderately high Reynolds number

(2014) V. Avsarkisov et al.   JOURNAL OF FLUID MECHANICS

Direct Numerical Simulation of Turbulent Pipe Flow at Moderately High Reynolds Numbers

(2013) George K. El Khoury et al.   FLOW TURBULENCE AND COMBUSTION

Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

(2009) Q. Yang et al.   APPLIED MATHEMATICAL MODELLING

A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow

(2008) XIAOHUA WU et al.   JOURNAL OF FLUID MECHANICS