This paper investigates the networked evolutionary model based on snow-drift game with the strategy of rewards and penalty. Firstly, by using the semi-tensor product of matrices approach, the mathematical model of the...This paper investigates the networked evolutionary model based on snow-drift game with the strategy of rewards and penalty. Firstly, by using the semi-tensor product of matrices approach, the mathematical model of the networked evolutionary game is built. Secondly, combined with the matrix expression of logic, the mathematical model is expressed as a dynamic logical system and next converted into its evolutionary dynamic algebraic form. Thirdly, the dynamic evolution process is analyzed and the final level of cooperation is discussed. Finally, the effects of the changes in the rewarding and penalty factors on the level of cooperation in the model are studied separately, and the conclusions are verified by examples.展开更多
针对风雪流作用下低矮建筑屋面积雪分布特征预测问题,基于计算流体力学(computational fluid dynamics,CFD)与离散元方法(discrete element method,DEM)的耦合,研究了风雪流的数值模拟方法,包括风雪耦合状态下的流体运动方程、雪颗粒运...针对风雪流作用下低矮建筑屋面积雪分布特征预测问题,基于计算流体力学(computational fluid dynamics,CFD)与离散元方法(discrete element method,DEM)的耦合,研究了风雪流的数值模拟方法,包括风雪耦合状态下的流体运动方程、雪颗粒运动方程、流体-雪颗粒耦合控制方程及雪颗粒碰撞模型,建立了基于实测的雪颗粒材料参数、碰撞参数、边界控制条件和耦合计算方法等,并采用该方法对Tsuchiya阶梯型屋面的积雪模式进行了数值模拟。结果表明:模拟结果与野外实测及风洞试验结果取得了较好的一致性,验证了该方法的有效性;低屋面积雪对风场干扰较为显著,低屋面末端处的无量纲水平风速从无积雪分布时的-0.4增加为有积雪分布时的0,明显削弱了屋盖积雪区空气回流漩涡。展开更多
文摘This paper investigates the networked evolutionary model based on snow-drift game with the strategy of rewards and penalty. Firstly, by using the semi-tensor product of matrices approach, the mathematical model of the networked evolutionary game is built. Secondly, combined with the matrix expression of logic, the mathematical model is expressed as a dynamic logical system and next converted into its evolutionary dynamic algebraic form. Thirdly, the dynamic evolution process is analyzed and the final level of cooperation is discussed. Finally, the effects of the changes in the rewarding and penalty factors on the level of cooperation in the model are studied separately, and the conclusions are verified by examples.
文摘针对风雪流作用下低矮建筑屋面积雪分布特征预测问题,基于计算流体力学(computational fluid dynamics,CFD)与离散元方法(discrete element method,DEM)的耦合,研究了风雪流的数值模拟方法,包括风雪耦合状态下的流体运动方程、雪颗粒运动方程、流体-雪颗粒耦合控制方程及雪颗粒碰撞模型,建立了基于实测的雪颗粒材料参数、碰撞参数、边界控制条件和耦合计算方法等,并采用该方法对Tsuchiya阶梯型屋面的积雪模式进行了数值模拟。结果表明:模拟结果与野外实测及风洞试验结果取得了较好的一致性,验证了该方法的有效性;低屋面积雪对风场干扰较为显著,低屋面末端处的无量纲水平风速从无积雪分布时的-0.4增加为有积雪分布时的0,明显削弱了屋盖积雪区空气回流漩涡。
