NDLI: Numerical Simulation of Nonlinear Water Wave Propagation Over Rippled Bed

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Gerasimos, A. Kolokythas Athanassios, A. Dimas
Copyright Year	2007
Abstract	In the present study, numerical simulations of the free-surface flow, developing by the propagation of nonlinear water waves over a rippled bottom, are performed assuming that the corresponding flow is two-dimensional, incompressible and viscous. The simulations are based on the numerical solution of the Navier-Stokes equations subject to the fully-nonlinear free-surface boundary conditions and the suitable bottom, inflow and outflow boundary conditions. The equations are properly transformed so that the computational domain becomes time-independent. For the spatial discretization, a hybrid scheme with finite-differences and Chebyshev polynomials is applied, while a fractional time-step scheme is used for the temporal discretization. A wave absorption zone is placed at the outflow region in order to efficiently minimize reflection of waves by the outflow boundary. The numerical model is validated by comparison to the analytical solution for the laminar, oscillatory, current flow which develops a uniform boundary layer over a horizontal bottom. For the propagation of finite-amplitude waves over a rigid rippled bed, the case with wavelength to water depth ratio λ/d0 = 6 and wave height to wavelength ratio H0/λ = 0.05 is considered. The ripples have parabolic shape, while their dimensions — length and height — are chosen accordingly to fit laboratory and field data. Results indicate that the wall shear stress over the ripples and the form drag forces on the ripples increase with increasing ripple height, while the corresponding friction force is insensitive to this increase. Therefore, the percentage of friction in the total drag force decreases with increasing ripple height.
Sponsorship	Fluids Engineering Division
Starting Page	279
Ending Page	284
Page Count	6
File Format	PDF
ISBN	0791842894
DOI	10.1115/FEDSM2007-37480
e-ISBN	0791838056
Volume Number	Volume 2: Fora, Parts A and B
Conference Proceedings	ASME/JSME 2007 5th Joint Fluids Engineering Conference
Language	English
Publisher Date	2007-07-30
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Water Form drag Navier-stokes equations Computer simulation Dimensions Reflection Drag (fluid dynamics) Waves Flow (dynamics) Wavelength Water waves Absorption Friction Simulation Shear stress Outflow Boundary-value problems Polynomials Engineering simulation Shapes Inflow Boundary layers
Content Type	Text
Resource Type	Article

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