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基于多重有限体积法解决含有耗散项的双曲扩散问题 被引量:2
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作者 张丽剑 罗跃生 高洋 《工程数学学报》 CSCD 北大核心 2016年第4期349-368,共20页
双曲扩散方程在数学上是一类重要的偏微分方程,在众多工程领域中有着广泛的应用.其常用于描述声波和电势场中电流的传播问题,也用于模拟计算流体力学中的对流扩散以及热传导模型.本文研究了一类具有耗散项的双曲扩散方程,并通过数值方... 双曲扩散方程在数学上是一类重要的偏微分方程,在众多工程领域中有着广泛的应用.其常用于描述声波和电势场中电流的传播问题,也用于模拟计算流体力学中的对流扩散以及热传导模型.本文研究了一类具有耗散项的双曲扩散方程,并通过数值方法对其初边值问题进行求解.针对已有的有限体积法在求解该问题时精度无法提高的问题,本文基于变限积分的方法提出了新的高精度有限体积格式,并利用Fourier分析法得到其离散格式无条件稳定的结论,最后利用数值实验证实了理论分析结果. 展开更多
关键词 变限积分 双曲扩散方程 有限体积法
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Nondestructive testing method of wood moisture content based on a planar capacitance sensor model 被引量:3
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作者 WANG Jue luo yue-sheng LIU Shao-gang 《Forestry Studies in China》 CAS 2010年第3期142-146,共5页
For our research, a new hybrid experimental-computational method is presented. We applied a least squares fitting method (LSFM) to reconstruct the wood moisture content (WMC) from the data measured with a planar c... For our research, a new hybrid experimental-computational method is presented. We applied a least squares fitting method (LSFM) to reconstruct the wood moisture content (WMC) from the data measured with a planar capacitance sensor. A boundary element method (BEM) was used to compute the relationship between capacitance and the dielectric constant. A functional relationship between MC and the dielectric constant was identified by LSFM. The agreement of this final computation result with the experimental data indicates that this method can be used to estimate the WMC quickly and effectively with engineering analysis. Compared with popular statistical methods, a large number of experiments are avoided, some costs of testing are reduced and the efficiency of testing is enhanced. 展开更多
关键词 planar capacitance sensor nondestructive testing wood moisture content boundary element method least squares fitring method
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