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Ottevanger, W., Blanckaert, K., Uijttewaal, W.S.J. and de Vriend, H.J. (2013) Meander Dynamics: A Reduced-Order Nonlinear Model without Curvature Restrictions for Flow and Bed Morphology. Journal of Geophysical Research: Earth Surface, 118, 1118-1131.
https://doi.org/10.1002/jgrf.20080

has been cited by the following article:

• TITLE: Models and Monte Carlo Simulations of the Mean Sinuosity of Major Meandering Rivers

  AUTHORS: Pirooz Mohazzabi, Qinghua Luo

  KEYWORDS: Meandering, River, Sinuosity, Simulation, Gaussian

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.7, July 29, 2022

  ABSTRACT: The purpose of this research is to investigate the sinuosity of major rivers in the United States and the world, and to compare them to that predicted by the existing theories. It is shown that the average sinuosity of meandering rivers deviates considerably from what has been reported previously as π. Calculations of the mean value of actual sinuosities of major rivers in the United States and in the World show that this average is very close to 2. Exact models as well as a Monte Carlo simulation for meandering rivers that is based on Gaussian probability distribution function are also presented, and the possibility of composite meandering is discussed.