基于Chebyshev谱方法的多孔介质二维方腔内自然流动模拟
发布时间：2018-11-21 10:31
【摘要】：采用Chebyshev配置点谱方法对局部热平衡状态下多孔介质方腔内的自然流动进行了模拟,使用Chebyshev-Gauss-Lobatto配置点对无量纲化的控制方程进行了空间上的离散,离散方程组采用高效矩阵对角化方法进行了求解.将所得结果与已有文献进行了对比,计算结果吻合良好.为验证该数值方法的精度,构造了一个精确解对该方法的求解误差进行了测试,结果表明,Chebyshev配置点谱方法具有很高的计算精度.最后,在验证程序正确性的基础上,研究了Ra对流场、温度场及努塞尔数的影响.
[Abstract]:The Chebyshev collocation point spectrum method is used to simulate the natural flow in the square cavity of porous media in the state of local thermal equilibrium. The dimensionless governing equations are discretized by using the Chebyshev-Gauss-Lobatto collocation points. The discrete equations are solved by the efficient matrix diagonalization method. The calculated results are in good agreement with the previous literatures. In order to verify the accuracy of the numerical method, an exact solution is constructed to test the error of the method. The results show that the Chebyshev collocation point spectrum method has a high accuracy. Finally, the effects of Ra flow field, temperature field and Nussel number are studied on the basis of verifying the correctness of the program.
【作者单位】： 东北大学材料电磁过程研究教育部重点实验室;武汉科技大学省部共建耐火材料与冶金国家重点实验室;大连理工大学能源与动力工程学院;
【基金】：国家自然科学基金资助项目(11402180)
【分类号】：O357.3
[Abstract]:The Chebyshev collocation point spectrum method is used to simulate the natural flow in the square cavity of porous media in the state of local thermal equilibrium. The dimensionless governing equations are discretized by using the Chebyshev-Gauss-Lobatto collocation points. The discrete equations are solved by the efficient matrix diagonalization method. The calculated results are in good agreement with the previous literatures. In order to verify the accuracy of the numerical method, an exact solution is constructed to test the error of the method. The results show that the Chebyshev collocation point spectrum method has a high accuracy. Finally, the effects of Ra flow field, temperature field and Nussel number are studied on the basis of verifying the correctness of the program.
【作者单位】： 东北大学材料电磁过程研究教育部重点实验室;武汉科技大学省部共建耐火材料与冶金国家重点实验室;大连理工大学能源与动力工程学院;
【基金】：国家自然科学基金资助项目(11402180)
【分类号】：O357.3
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2 周家斌;ON THE EXPANSION OF CHEBYSHEV POLYNOMIALS IN IRREGULAR GRIDS[J];A Monthly Journal of Science;1982年05期
3 孙燮华;THE EXACTLY POINTWISE DEGREE OF APPROXIMATION OF HERMITE-FEJ，
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