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为快速求解建筑群内天空视角系数,提出采用等分圆弧的射线扫描方法,将半球沿两正交圆弧分别进行n和m等分,并将射线沿某微元面中心与半球上微元面中心连线方向进行扫描,沿射线方向可见天空所对应半球面上的微元面积之和与该半球总表面积之比,即为微元面的天空视角系数。通过实例验证分析发现,当等分圆弧数n、m均大于20时,模拟值与理论值吻合较好;当n取40时较合理,误差为0.5%,计算时长为0.016s,能很好满足城市地面的天空视角系数的快速求解和精度要求。
In order to solve the problem of sky viewing angle in buildings rapidly, a ray scanning method using an equi-arc arc is proposed. The hemispheres are equally divided into n and m along two orthogonal arcs respectively. Scanning the direction of the line connecting the center of the surface of the element, the ratio of the sum of the area of the micro-elements on the hemispherical surface corresponding to the sky to the total surface area of the hemisphere can be seen along the ray direction. Through the example verification and analysis, it is found that when the equi-arcs n and m are both larger than 20, the simulated values are in good agreement with the theoretical values. When n is 40, the error is 0.5% and the calculation time is 0.016s. Good to meet the city ground sky angle of view coefficient of rapid solution and accuracy requirements.