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李光正. 非定常流函数涡量方程的一种数值解法的研究[J]. 力学学报, 1999, 31(1): 10-20. DOI: 10.6052/0459-1879-1999-1-1999-002
引用本文: 李光正. 非定常流函数涡量方程的一种数值解法的研究[J]. 力学学报, 1999, 31(1): 10-20. DOI: 10.6052/0459-1879-1999-1-1999-002
STUDY OF ONE NUMERICAL METHOD FOR SOLVING THE UNSTEADY EQUATIONS OF STREAM AND VORTICITY FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(1): 10-20. DOI: 10.6052/0459-1879-1999-1-1999-002
Citation: STUDY OF ONE NUMERICAL METHOD FOR SOLVING THE UNSTEADY EQUATIONS OF STREAM AND VORTICITY FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(1): 10-20. DOI: 10.6052/0459-1879-1999-1-1999-002

非定常流函数涡量方程的一种数值解法的研究

STUDY OF ONE NUMERICAL METHOD FOR SOLVING THE UNSTEADY EQUATIONS OF STREAM AND VORTICITY FUNCTIONS

  • 摘要: 对非定常流函数涡量方程的数值求解方法进行了改进,其中流函数一阶导数即速度项采用四阶精度的Hermitian公式,对流项由一般二阶精度的中心差分提高到四阶精度离散差分,包含温度方程在内的离散方程组采用ADI迭代方法求得定常解.以无内热体及有一内热体的封闭方腔内自然对流为例,进行了不同瑞利数(Ra)条件下的数值研究.结果表明,该方法推导简单,求解精度高且计算稳定,适用于封闭腔内高瑞利数复杂混合对流的数值模拟.

     

    Abstract: The method for solving the unsteady equations of stream and vorticity functions has been improved. The Hermitian formulas of forth-order accuracy are adopted for first partial derivatives of stream function (i.e. velocities). The forth-order accuracy finite difference is used for the convective terms instead of the second-order central difference. The ADI successive method is used for solving the equations which contain the temperature equation to obtain the steady solutions.Second-order central difference ...

     

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