Since the disturbance expansion has been taken into account,one has to solve the mass,vorticity transport and energy transport equations for disturbance motion in a coupled way.

The vorticity transport equation is solved by the two-stage Runge-Kutta method. The velocity Poisson equation is solved by LSOR method, then the non-divergence correction scheme is done to velocity.

The precision and artificial viscosity of various difference schemes of 1-D and 2-D vorticity transport equations are investigated in this paper. The ideas introduced from the classical finite difference theory, such as consistence, convergence, precision, artificial viscosity are examined and some new comments on these ideas are made and used to explain something puzzling in solving N-S equations.

The Alternative-Direction Implicit algorithm for the vorticity transport equation, and the Fast Fourier Transform algorithm for the stream function equation are used with the accuracy of second order in space and first order in time. The corresponding experiments are carried out and their results are analyzed.

Reducing of positive vorticity transport by lower level jet to southwest vortex and shear line,combining with the shear lineled by 500 hPa upper trough,thesouthwest vortex strengthen. All these make the shear line weaker and disappeare finally.

Based on these calculations, the authors analyze the science-practical nature of the Prandtl Mixing Length hypothesis, the momentum-transport theory, the Karman Similarity theory and the Taylor Vorticity Transport theory.

To do so, we examine both linear and nonlinear solutions of the momentum and vorticity transport equations in spherical coordinates.

The developed mathematical model is governed by the coupled equations of stream function, vorticity transport, and energy, and is solved by employing the cubic spline collocation method.

not involving time derivatives) associated with the prognostic one for vorticity transport.

The gravitational term in the vorticity transport equation isfound to be the main mechanism for the buoyant flow instability and thedevelopment of counter-rotating vortices in reactive plumes.

Budgets of the vorticity transport are examined to revealthe mechanisms leading to the formation and evolution of large vorticalstructures in forced plumes.

In case where the Rossby number r << 1, the motion may deviate from quasi-geos-trophic state, if the increase rate of temperature due to release of latent heat is stronger than thermal advection in any broad rainfall region, or alternatively, if the vertical transport of momentum by thermal convection is stronger than momentum advection. In this case, the divergence field and the -field are both stronger than that in quasi-geostrophic situation. However, expect for a few extreme occasions, the vorticity field...

In case where the Rossby number r << 1, the motion may deviate from quasi-geos-trophic state, if the increase rate of temperature due to release of latent heat is stronger than thermal advection in any broad rainfall region, or alternatively, if the vertical transport of momentum by thermal convection is stronger than momentum advection. In this case, the divergence field and the -field are both stronger than that in quasi-geostrophic situation. However, expect for a few extreme occasions, the vorticity field may still be quasi-geostrophic, i.e. f△Ψ = △φ. It follows that some basic principles concerning the quasi-geostrophic evolution of the synoptic regime in westerlies are valid for subtropic circumstance.In this paper, evidence is provided for the ideas mentioned above, and the concept, "generalized quasi-geostrophic evolution" is introduced. An approximate analytical solution which can clearly and simply express the common rule about the variation of meteorological field governed by some forcing sources during generalized quasi-geostrophic evolution. Particularly, we have discussed the role of latent heat and con-vective vorticity transport in above-mentioned evolution process.

In this paper,the relation between the activities of Indian monsoon tronghsand low-vortexs in southwest China has been analysed by using the data ofwinds at 700 mb level and satellit cloud pictures for six years from 1972 to1977.It is found that the namber of low.Vortexs in southwest China is twicegreater when the Indian trongh is located to the north of its mean location thanto the sonth of its mean location,The calculated result of the dynamie and thermodynamic conditions in somecases shows that the formation...

In this paper,the relation between the activities of Indian monsoon tronghsand low-vortexs in southwest China has been analysed by using the data ofwinds at 700 mb level and satellit cloud pictures for six years from 1972 to1977.It is found that the namber of low.Vortexs in southwest China is twicegreater when the Indian trongh is located to the north of its mean location thanto the sonth of its mean location,The calculated result of the dynamie and thermodynamic conditions in somecases shows that the formation of the low-vortex in southwest China resultsfrom the cyclonie vorticity transport of the monsoon trongh and the convergenceof water vapour in the tropical monsoon coming from the Bay of Bengal.In theinitial stage of a low vertex,there is a warm core in it,and the relitf of latanthent plays an important role in the formation of the warm core.When it develo-ps and moves eastward.It gradualy becomes anextra-tropical cyclon.Then,thewater vapour in rainfall processes is supplied by the monsoon flows comingfrom the Bay of Bengal and the south China Sea.The result mentioned abovehelps to forecast the low-vortex in southwest China.

In this work, the gas-liquid two phase fluid flow and the recirculating flow field in the bottom blown argon stirred bath are studied by means of experiments carried with physical model together with numerical solutions of the mathematical model. The mathematical model consists of the turbulent flow mean vorticity transport equation and stream function equation. K-ε turb-ulance two equation model, the pure buoyance madel and the boundary conditions, The mathematical model is numerically solved implicitly...

In this work, the gas-liquid two phase fluid flow and the recirculating flow field in the bottom blown argon stirred bath are studied by means of experiments carried with physical model together with numerical solutions of the mathematical model. The mathematical model consists of the turbulent flow mean vorticity transport equation and stream function equation. K-ε turb-ulance two equation model, the pure buoyance madel and the boundary conditions, The mathematical model is numerically solved implicitly using methed for solving recirculating flow problems developed by prof, Spalding, so that the flow pattern and dislributions of velocity,turbulence kinetic energy, turbulence kinetrc energy dissipation rate, vorticity, the turbulence viscosity, the density and the gas void fraction ratio are obtained. Velocity distribution computed agree well with those measured by laser Doppler anemometer, the computed flow patterns together with the position of the centre of the recirculation flows are in agreement with those obtained by photograpies taking from flow visualization. It shows that, the mathematical model together with its method of solution used arc acceptable for predicting the velocity field in domain of the problem worked, and this work therefore is of practical significamce.