We perform the linear and weakly nonlinear stability analyses of longitudinal sediment
waves triggered by the interaction of turbidity currents with an erodible bed. The …

Compared with traditional computational fluid dynamics methods, the lattice Boltzmann
method (LBM) has the advantages of simple program structure, adaptability to complex …

Accurate flow models are crucial for simulating shallow water hydrodynamics, particularly in
predicting and mitigating the impacts of extreme events involving free-surface flows. Many of …

This study examines the instability of sand waves (dunes and antidunes) from both linear
and weakly nonlinear perspectives. The linear and weakly nonlinear analyses use the …

This study focuses on the conditional turbulence characteristics in a flow through a
degraded channel bed with a mixture of two sediment sizes. After achieving an equilibrium …

We examine the genesis of coherent vortices in submerged vegetated flows by means of a
linear stability analysis. The mathematical framework is comprised of the conservation …

The initial position of bed sediment particles is one of the key factors affecting the sediment
incipient motion in the coastal erosion and riverbed evolution; however, the current modes of …

In the nineteenth century, hydrodynamic stability was recognized, notably by Helmholtz,
Kelvin, Rayleigh on inviscid flows and Reynolds on viscous shear flows, as one of the core …

In this study, surface flow problem is theoretically analysed. The equation of conservation of
mass and the equation of conservation of momentum dictate the fluid flow. Based on the …

Natural streambed does not exhibit a flatbed surface but takes various geometrical forms
known as the bedforms. In this chapter, the experimental and theoretical studies dealing with …