自然对流换热的高精度非结构网格有限体积法

用非结构网格有限体积法求解自然对流换热时,传统的对流项离散格式难以兼顾数值精度与计算效率,我们发展了一种耦合高精度格式的延迟修正方法,用于对流项的离散.高Re数下方腔驱动流数值计算验证了该方法具有较高的计算精度和较好的稳定性.Boussinesq流体的自然对流换热数值模拟,表明该方法能有效克服高Ra数时数值计算发散,可准确捕捉自然对流换热问题中不同偏心率下的等温线和流线分布特征.

A High Accuracy Unstructured Grid Finite Volume Method for Natural Convection Heat Transfer

To make balance between numerical accuracy and computational efficiency,a deferred correction method coupled with high order scheme is proposed for computation of convection flux.Classical benchmark problems,cavity driven flow with high Reynolds numbers,are solved numerically to verify precision and stability of the method.Finally,the method is used to solve Boussinesq fluid of natural convection heat transfer.It shows that the method overcomes numerical divergence effectively in high Rayleigh number problem.It captures accurately isothermal lines and stream lines at different eccentricities in natural convection heat transfer.