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| 引用本文： | 孙亮,马东军,秦丰华,孙德军.??????????????????У????[J].力学与实践,2010,32(1):37-40. |
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| 作者姓名： | 孙亮 马东军 秦丰华 孙德军 |
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| 作者单位： | 中国科学技术大学 地球和空间科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(40705027,10602056,10772172,10976029) |
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| 摘 要： | 为避免用四阶紧致格式求解泊松方程所具有编程复杂和难以实现的困难，对
传统的五点二阶中心差分格式进行改进；通过增加对残差的校正计算，提出了一种新型具有
四阶精度的两步预估校正格式. 新格式虽需要增加一定的计算量，但它的格式精度高，边界
条件处理极简单，易于编程实现. 通过数值实验，结果证明上述格式的确具有易于编程和计
算精度高的优点. 预估校正格式很容易推广到其他复杂情形.
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| 关 键 词： | 泊松方程 预估校正格式 四阶精度 |
| 收稿时间： | 2009-01-19 |
A TWO-STEP PREDICTIVE-CORRECTIVE SCHEME FOR 2D POISSON EQUATION |
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| SUN Liang
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MA Dongjun
,
QIN Fenghua
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SUN Dejun.A TWO-STEP PREDICTIVE-CORRECTIVE SCHEME FOR 2D POISSON EQUATION[J].Mechanics and Engineering,2010,32(1):37-40. |
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| Authors: | SUN Liang MA Dongjun QIN Fenghua SUN Dejun |
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| Institution: | */a>;+/a>;2;**;**;**;School of Earth Sciences/a>;University of Science and Technology of China/a>;Hefei 230026/a>;China;LASG/a>;Institute of Atmospheric Physics/a>;Chinese Academy of Sciences/a>;Beijing 100029/a>;China;Dept.of Modern Mechanics/a>;China |
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| Abstract: | Since the classic 4th order compact scheme requires nine points for 2D Poisson equation,the boundary conditions make the scheme difficult to be implemented,especially when the equations need to be solved by a multi-grid method.A new 4th order accurate scheme is derived.First,a predictive solution is obtained by using the classic 2nd order five-point scheme.Then,the solution is corrected by considering the residual term. Finally,the scheme combines the predictive and the corrective solutions to achieve 4th o... |
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| Keywords: | Poisson equation predictive-corrective scheme 4th order |
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