用三次样条方法求解温排水温度场

Solving Temperature Field due to Discharged Hot Water by the Cubic Spline Method

紊流模型用于温排水问题数值预报时,无须划分近区和远区,是一种全场模型。通常求紊流模型的数值解采用的是有限差分格式和SIMPLE方法。本文提出了一种新的三次样条格式用于紊浮力射流问题的k—ε模型数值求解。在这之前,三次样条方法还未见应用于非线性偏微分方程领域。计算结果表明,新的三次样条方法用于求解非线性偏微分方程组是可行的。

Numerical prediction of temperature field due to heated water discharge with turbulent model is a full field method in which near or far field could be no longer separated. In general, the finite difference scheme and SIMPLE procedure are used in numerical solution of turbulent model. This paper provided a new cubic spline scheme to solve turbulent buoyant jet withκ-ε model. Authors introduced the cubic spline method into numerkal solution of non-linear partial differential equations which has not be used in this area before. The agreement between the numerical results and experiment data is good enough to suggest that the new cubic spline scheme is capable of solving non-linear partial differential equations.