基于NAD算子的高精度低数值频散地震波模拟方法 | |
张朝元 ; ZHANG Chao-yuan | |
2016-03-30 ; 2016-03-30 | |
关键词 | NAD算子 数值频散 高精度 地震波模拟 Monte Carlo method Perturbation calculation Differential operator method Perturbed source effects P631.4 |
其他题名 | A seismic field modeling method with high accuracy and low numerical dispersion based on the NAD operator |
中文摘要 | 基于二维声波方程,使用四阶截断的泰勒展开式离散时间偏导数,利用八阶精度的近似解析离散算子离散空间高阶偏导数,发展了一种八阶ONAD方法.通过数值误差、计算效率和复杂介质波场模拟等考察研究,结果均显示该方法在压制数值频散、计算效率和波场模拟精度等方面明显优越于四阶LAX-Wendroff Corrected(LWC)方法和八阶LWC方法.因此,八阶ONAD方法是一种有望在地震波模拟得到应用的十分有效的数值模拟方法.; The eighth-order ONAD method is developed for solving the 2-D acoustic wave equation.The new method uses the fourth-order truncated Taylor expansion to discretize partial derivative of time,and employs the eighth-order nearly analytic discrete operator discretize high-order partial derivatives of space.Through studying the numerical error,computational efficiency and complex medium wave-field simulations,those results show that this method is obviously superior to the fourth-order LAX-Wendroff Corrected(LWC)method and the eighth-order LWC method in suppressing the numerical dispersion,computational efficiency and simulation precision of wave-fields.Therefore,the eighth-order ONAD method is a very effective method of numerical simulation and can be applied in the seismic wave simulation. |
语种 | 中文 ; 中文 |
内容类型 | 期刊论文 |
源URL | [http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/146001] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | 张朝元,ZHANG Chao-yuan. 基于NAD算子的高精度低数值频散地震波模拟方法[J],2016, 2016. |
APA | 张朝元,&ZHANG Chao-yuan.(2016).基于NAD算子的高精度低数值频散地震波模拟方法.. |
MLA | 张朝元,et al."基于NAD算子的高精度低数值频散地震波模拟方法".(2016). |
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