Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

DOI10.4208/AAMM.OA-2021-0114OpenAlexW4364376676MaRDI QIDQ6141665

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Publication date: 23 January 2024

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2021-0114

zbMATH Keywords

hydrodynamicsweakly nonlinearitydisturbance vorticitycurvature bend

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Theoretical analyses on hydrodynamic instability in narrow deep river with variable curvature
• Further improvement of weakly nonlinear theory of hydrodynamic stability
• On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• Bend theory of river meanders. Part 2. Nonlinear deformation of finite-amplitude bends
• Bend theory of river meanders. Part 1. Linear development
• Weakly nonlinear theory of regular meanders
• A nonlinear model of flow in meandering submarine and subaerial channels
• A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River
• Nonlinear Theories for Shear Flow Instabilities: Physical Insights and Practical Implications
• Meanders
• Accurate solution of the Orr–Sommerfeld stability equation

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