| 郑永红,沈永明,王利生,伍超.污染物移流扩散方程的高精度分裂格式[J].水利学报,2002,33(2):0041-0047 |
| 污染物移流扩散方程的高精度分裂格式 |
| A high accuracy splitting scheme for advection-diffusion equation of pollutants |
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| DOI： |
| 中文关键词: 污染物 移流扩散方程 高精度格式 数值模拟 |
| 英文关键词: pollutant advection-diffusion equation high accuracy scheme numerical simulation |
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| 摘要点击次数: 1977 |
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| 中文摘要: |
| 提出了污染物移流扩散方程的一种高精度分裂格式, 该格式将多维移流扩散方程分裂为多个一维方程进行求解, 在每个方向上仅涉及三个空间节点而达到空间四阶精度. 采用该格式对几个经典的纯移流、移流扩散问题进行了数值模拟, 数值结果表明, 该格式比经典的移流扩散方程格式的精度要高得多, 此外该格式还具有编程简单、求解十分快速的优点. |
| 英文摘要: |
| A high accuracy splitting scheme for advection-diffusion equation of pollutant is proposed. According to the scheme the multi-dimensional advection-diffusion equation is split into several one-dimensional equations. Only three spatial grid points are needed in each direction but the accuracy reaches the fourth order. The numerical simulations of several typical pure advection and advection-diffusion problems show that the accuracy of this scheme is much higher than the classical schemes and possesses the advantages of easy to program and high efficiency in solution. |
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