Peng Y, Shu C, Chew Y T
Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026701. doi: 10.1103/PhysRevE.68.026701. Epub 2003 Aug 7.
Considering the fact that the compression work done by the pressure and the viscous heat dissipation can be neglected for the incompressible flow, and its relationship with the gradient term in the evolution equation for the temperature in the thermal energy distribution model, a simplified thermal energy distribution model is proposed. This thermal model does not have any gradient term and is much easier to be implemented. This model is validated by the numerical simulation of the natural convection in a square cavity at a wide range of Rayleigh numbers. Numerical experiments showed that the simplified thermal model can keep the same order of accuracy as the thermal energy distribution model, but it requires much less computational effort.
考虑到对于不可压缩流动，压力所做的压缩功和粘性热耗散可忽略不计，以及其与热能分布模型中温度演化方程中梯度项的关系，提出了一种简化的热能分布模型。该热模型没有任何梯度项，且更易于实现。通过在广泛的瑞利数范围内对方形空腔内自然对流的数值模拟对该模型进行了验证。数值实验表明，简化热模型能保持与热能分布模型相同的精度阶数，但所需的计算量要少得多。
