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An efficient high-order immersed interface method (IIM) is proposed to solve two-dimensional (2D) heat problems with fixed interfaces on Cartesian grids, which has the fourth-order accuracy in the maximum norm in both time and space directions. The space variable is discretized by a high-order compact (HOC) difference scheme with correction terms added at the irregular points. The time derivative is integrated by a Crank-Nicolson and alternative direction implicit (ADI) scheme. In this case, the time accuracy is just second-order. The Richardson extrapolation method is used to improve the time accuracy to fourth-order. The numerical results confirm the convergence order and the efficiency of the method. 相似文献
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尾流气泡幕光学特性的数理模型 总被引:12,自引:9,他引:3
对实验室模拟的尾流以及真实尾流气泡幕中气泡的运动规律进行了分析和计算,并提出了气泡幕中气泡随半径分布规律的数学物理模型,引入了最可几半径的概念从单个气泡对激光散射的影响推导出了气泡幕对激光的散射效应的数学表达式,并利用所得到的表达方式在实验室条件下进行了相关计算所建立的理论模型对于气泡分布的计算结果同实验结果相比,一致性相当好在气泡幕对激光散射的影响中,首次对激光偏振化特性的影响进行了区别计算计算结果表明:激光的两种偏振化状态对气泡幕散射的影响从粗糙结构来看没有明显差异,但其精细结构有所不同对不扩束和扩束两个条件下的计算明确显示出,扩束条件下散射光的强度是不扩束条件下的二倍以上,但二者的精细结构并没有可见的差别. 相似文献
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