摘要:

A modelling system is described that generates and runs models of short waves of any form (periodic or irregular), with any desired physically realistic current field over any given bathymetry. As this system constitutes the eighth version of the general System 21, “Jupiter”, described in an earlier contribution, it is called the “Mark 8”. The system-generated models are based upon Boussinesq equations, in which the vertical velocity is supposed to increase linearly from zero at the bed to a maximum magnitude at the surface, in two independent (horizontal) space variables and time. The Boussinesq equations are formulated as mass and momentum conservation laws while, by virtue of the high order of accuracy of the difference approximations, there is very little numerical energy falsification. This formulation also appears to provide genuine weak solutions, for correctly simulating breaking waves, and thus assures the correct simulation of wave thrusts, or radiation stresses, and associated longshore currents.

ISSN:0022-1686    

DOI:10.1080/00221687809499616

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

New equations are derived which are a generalization of the nonlinear unsteady shallow-flow partial differential equations, usually called the Saint-Venant equations. The new equations possess terms containing explicitly the curvature of the channel bottom, and the derivative of the curvature. The resulting streamlines are therefore curved, and the pressure expression contains terms, in addition to the hydrostatic term, which describe the effect of the streamline curvatures. The new equations should give more accurate flow solutions than Saint-Venant's whenever the channel bottom is curved or non-horizontal; for a flat horizontal channel they reduce to the Saint-Venant equations. The equations show that the velocity is no longer constant over any cross-section orthogonal to a curved bottom.

ISSN:0022-1686    

DOI:10.1080/00221687809499617

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The total energy flux with the mean energy level as a datum is shown to be proportional to the wave action flux for waves on steady irrotational currents. This leads directly to the wave action conservation principle. The set-down of the mean water surface is calculated in a new and simple way. In addition the mean Eulerian current velocity profile is discussed, and the myth of a non-zero mass transport in a pure wave motion is reconsidered. Dissipative effects are neglected.

ISSN:0022-1686    

DOI:10.1080/00221687809499618

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The bottom mean resistance coefficient for the flow of solitary waves is derived from considerations of energy dissipation, and is obtained from measurements of the attenuation of wave amplitude along a channel. A theoretical expression for the resistance coefficient is developed for the case of laminar flow from the linearized equations of motion and is verified by experiments. Dimensional analysis is used in deriving the empirical relationships which describe the mean resistance coefficient for both laminar and rough turbulent flows.

ISSN:0022-1686    

DOI:10.1080/00221687809499619

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

MECHANICS OF HETEROGENEOUS FLUIDS IN POROUS MEDIAby ARTHUR T. COREY, Water Resources Publications, P.O. Box 303, Fort Collins, Col. 80522, U.S.A., 259 pages, hardbound, 1977 edition, U.S. $ 18.50.

ISSN:0022-1686    

DOI:10.1080/00221687809499620

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221687809499621

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:0022-1686    

DOI:10.1080/00221687809499615

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor