CAJ | 학술논문

讨论了当下垫面随时间缓慢变化时浅水方程的形式.从控制大气运动的连续性方程和动量方程出发,将下垫面的缓慢变化作为一个小量叠加到固有下垫面函数上,利用大气的上下边界条件,得到改进的浅水方程.在改进的浅水方程中,由缓变局部水平体积散度,订正了局部水平体积散度和流体局部厚度变化之间的平衡,在此基础上得到包含下垫面缓变的涡度方程.
토론료당하점면수시간완만변화시천수방정적형식.종공제대기운동적련속성방정화동량방정출발,장하점면적완만변화작위일개소량첩가도고유하점면함수상,이용대기적상하변계조건,득도개진적천수방정.재개진적천수방정중,유완변국부수평체적산도,정정료국부수평체적산도화류체국부후도변화지간적평형,재차기출상득도포함하점면완변적와도방정.
In this paper, the shallow water equation is discussed, when the underlying surface is slowly changing. From the continuity equation and the equation of motion controlling the movement of the atmosphere, the slowly changing of the underlying surface is superimposed on the topography function as a small quantity, using the upper and lower boundary conditions of the atmosphere, the modified shallow water equation is obtained. In the modified shallow water equation, the slowly changing local horizontal divergence modifies the equilibrium between the local horizontal divergence and the local change of the thickness of the atmosphere. On the basis of this, the vorticity equation is obtained, which contains the slowly changing underlying surface.