On Boussinesq models of constant depth

نویسندگان

  • Jin E. Zhang
  • Chunli Chen
  • Yishen Li
چکیده

When modeling water waves, one often assume that water is incompressible and inviscid and the flow is irrotational. The evolution of nonlinear water waves is governed by the Euler equations. There are two important parameters associated with long waves. One is the ratio of amplitude to depth, represented by a, and the other one is the ratio of depth to wavelength, represented by e. Under the assumption that

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

MODELING OF GROUNDWATER FLOW OVER SLOPING BEDS IN RESPONSE TO CONSTANT RECHARGE AND STREAM OF VARYING WATER LEVEL

This paper presents an analytical model characterizing unsteady groundwater flow in an unconfined aquifer resting on a sloping impervious bed. The aquifer is in contact with a constant water level at one end. The other end is connected to a stream whose level is increasing form an initial level to a final level at a known exponentially decaying function of time. Moreover, the aquifer is repleni...

متن کامل

Improved Boussinesq-type equations for highly variable depth

Intermediate-depth, Boussinesq-type modelling is used to generalize previously known results for surface water waves propagating over arbitrarily shaped topographies. The improved reduced wave model is obtained after studying how small changes in the linear dispersion relation (over a flat bottom) can become dramatically important in the presence of a highly fluctuating topography. Numerical va...

متن کامل

Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation

We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one-dimensional waves, and consider the case of a flat bottom. Following the method presented in [6] for the one-layer case, we introduce a new family of symmetric hyperbolic models, that are equivalent to the classical Boussinesq/Boussines...

متن کامل

Numerical modelling of induced rip currents by discontinuous submerged breakwaters

Submerged breakwaters are one of the shore protective structures. Any discontinuity in these breakwaters causes changes on current parameters including speed and water surface profile. In this paper, discontinuous submerged breakwaters were modelled to investigate the changes in the wave and flow pattern.To investigate the phenomenon, three models including a shore with constant slope, a shore ...

متن کامل

Strongly Buoyant Plume Similarity and 'Small-fire' Ventilation

NOTATION A 'Effective area' in Boussinesq ventilation model, see eqn (24) ,4 'Effective area' in non-Boussinesq ventilation model, see eqn (28) A I Area of floor covered by base of fire a Area of vent B Plume buoyancy flux b Plume radius c r Specific heat capacity at constant pressure D Diameter of fire source d Upper-layer depth F Scaled density deficit, a conserved quantity with units of buoy...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004