非静力近似小尺度数值模式
设x轴垂直于山谷方向；y轴沿着山谷方向；z轴为铅直方向。
做坐标变换：
式中，ST为模式顶高度。
(1)运动方程：
(2)连续方程：
(3)热力学方程：
(4)比湿方程：
式中，u，v，w分别为x，y，z方向上的速度分量；w*为z*上的速度分量；q和q为空气位温和空气比湿；f和f*为柯式参数；g为重力加速度；Cp为定压比热；p为压力函数；p为大气压力；ph为大气的静压力；p0为标准气压；p*为气压扰动量；q’为位温扰动量；Pd*为动力压力扰动量；r为空气密度；k为空气的湍流交换系数，其中上标M，H分别表示动量和热量的，下标H和Z分别表示在水平方向和铅直方向。
参考文献
王浩，傅抱璞：干谷和湿谷边界层气候气候差异的数值模拟研究。地理研究，1992,11(3)
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