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| 1 | Numerical simulation for 2D double-diffusive convection(DDC) in rectangular enclosures based on a high resolution upwind compact streamfunction model Ⅰ: numerical method and code validation显示文摘A high resolution upwind compact streamfunction numerical algorithm for two-dimensional(2D)double-diffusive convection(DDC)is developed.The unsteady Navier-Stokes(N-S)equations in the streamfunction-velocity form and the scalar temperature and concentration equations are used.An optimized third-order upwind compact(UCD3 opt)scheme with a low dispersion error for the first derivatives is utilized to approximate the third derivatives of the streamfunction in the advection terms of the N-S equations and the first derivatives in the advection terms of the scalar temperature and concentration equations.The remaining first derivatives of the streamfunction(velocity),temperature,and concentration variables used in the governing equations are discretized by the fourth-order compact Pade(SCD4)schemes.With the temperature and concentration variables and their approximate values of the first derivatives obtained by the SCD4 schemes,the explicit fourth-order compact schemes are suggested to approximate the second derivatives of temperature and concentration in the diffusion terms of the energy and concentration equations.The discretization of the temporal term is executed with the second-order Crank-Nicolson(C-N)scheme.To assess the spatial behavior capability of the established numerical algorithm and verify the developed computer code,the DDC flow is numerically solved.The obtained results agree well with the benchmark solutions and some accurate results available in the literature,verifying the accuracy,effectiveness,and robustness of the provided algorithm.Finally,a preliminary application of the proposed method to the DDC is carried out. | Yaping YAN Shuang WU Kaiyuan TIAN Zhenfu TIAN | 2022 | Applied Mathematics and Mechanics(English Edition)2022，43，9： | 0 |
| 2 | 一类温盐双扩散对流系统流动机理的参数化分析(二)显示文摘温盐双扩散对流系统具有丰富的流体形态和复杂的动力学行为,正确理解双扩散对流机理可为解决真实的复杂问题提供理论指导和解决方案。通过物理模型构建、数值方法实现,通过计算与观察开展机理研究,并总结规律。结果表明:随着浮力比的变化,除了典型的稳定层流和中心对称流,还存在一种具有奇偶交换周期结构的流场。通过对该流场进行实验,获得了高达11的涡数。对计算流体力学学科的发展有参考价值。 | 刘毓萱 | 2016 | 工业技术创新2016，3，5： | 0 |
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