Application of Tikhonov's regularization to unstable water waves of the two-dimensional fluid flow: spectrum with compact support

2008 ◽  
Vol 3 (1) ◽  
pp. 41-47 ◽  
Author(s):  
T. S. Jang ◽  
S. L. Han
Keyword(s):  
Fluid Flow ◽  
Compact Support ◽  
Water Waves ◽  
Two Dimensional ◽  
Tikhonov’S Regularization

scholarly journals New exact relations for steady irrotational two-dimensional gravity and capillary surface waves

2017 ◽  
Vol 376 (2111) ◽  
pp. 20170220 ◽  
Author(s):  
Didier Clamond
Keyword(s):  
Free Surface ◽  
Gravity Waves ◽  
Water Waves ◽  
Two Dimensional ◽  
Physical Plane ◽  
Theme Issue ◽  
Nonlinear Water Waves ◽  
Dimensional Gravity ◽  
Irrotational Motion ◽  
Exact Relations

Steady two-dimensional surface capillary–gravity waves in irrotational motion are considered on constant depth. By exploiting the holomorphic properties in the physical plane and introducing some transformations of the boundary conditions at the free surface, new exact relations and equations for the free surface only are derived. In particular, a physical plane counterpart of the Babenko equation is obtained. This article is part of the theme issue ‘Nonlinear water waves’.

Coupling between neighboring two-dimensional modes of water waves

1998 ◽  
Vol 10 (9) ◽  
pp. 2405-2411 ◽  
Author(s):  
Z. C. Feng
Keyword(s):  
Water Waves ◽  
Two Dimensional

D-C Network-Analyzer Determination of Fluid-Flow Pattern in a Centrifugal Impeller

1947 ◽  
Vol 14 (2) ◽  
pp. A113-A118
Author(s):  
C. Concordia ◽  
G. K. Carter
Keyword(s):  
Fluid Flow ◽  
Flow Pattern ◽  
Arbitrary Shape ◽  
Centrifugal Impeller ◽  
Network Analyzer ◽  
Two Dimensional ◽  
Special Shape ◽  
Electrical Method ◽  
Incompressible Ideal Fluid

Abstract The objects of this paper are, first, to describe an electrical method of determining the flow pattern for the flow of an incompressible ideal fluid through a two-dimensional centrifugal impeller, and second, to present the results obtained for a particular impeller. The method can be and has been applied to impellers with blades of arbitrary shape, as distinguished from analytical methods which can be applied directly only to blades of special shape (1).

Numerical Investigation of Local Scour Around Submerged Pipeline in Shoaling Conditions

2018 ◽  
Author(s):  
Ming-ming Liu ◽  
Ming Zhao ◽  
Lin Lu
Keyword(s):  
Water Waves ◽  
Slope Angle ◽  
Suspended Load ◽  
Local Scour ◽  
Navier Stokes ◽  
Bed Load ◽  
Scour Depth ◽  
Two Dimensional ◽  
Sediment Mass ◽  
Subsea Pipelines

Water waves play an important role in local scour around subsea pipelines laid on the sandy seabed, especially in shallow water regions. In this paper, a two-dimensional numerical model is employed to predict local scour around submarine pipelines under water waves in shoaling condition. The motion of water under waves is simulated by solving the Reynolds Averaged Navier-Stokes (RANS) equations. The evolution of the seabed surface near the pipeline is predicted by solving the conservation of the sediment mass, which transport in the water in the forms of bed load and suspended load. The main aim of this study is to investigate the effect of the seabed slope on the scour profiles and scour depth. To achieve this aim, numerical simulations of scour around a pipeline on a flat seabed and on a slope seabed with a slope angle of 15° are conducted for various wave conditions.

Sign in / Sign up

Export Citation Format

Share Document