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偏微分方程在解决工程实际工作中的应用
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作者 李祖伟 黄华华 钟宁 《重庆交通学院学报》 2000年第4期124-128,共5页
在子域精细积分法的基础上 ,提出解偏微分方程的变网格差分精细积分法 ,这种方法既具备子域精细积分法的各种优点 ,还能较好描述非均匀介质的物理特性及灵活处理各类边界条件 。
关键词 偏数分方程 值稳定性 工程工作
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Numerical modeling airflow in soil with impact of groundwater
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作者 张晓悦 王栋 +1 位作者 张晓乐 陈晓东 《Journal of Central South University》 SCIE EI CAS 2013年第5期1405-1411,共7页
In order to simulate the airflow in anhydrous case and the water-air flow in groundwater case, a numerical model of airflow in soil was developed. For the nonlinearity of the governing partial differential equation, t... In order to simulate the airflow in anhydrous case and the water-air flow in groundwater case, a numerical model of airflow in soil was developed. For the nonlinearity of the governing partial differential equation, the corresponding discretization and linearization methods were given. Due to the mass transfer between air-phase and water-phase, phase states of the model elements were constantly changing. Thus, parameters of the model were divided into primary ones and secondary ones, and the primary variables changing with phase states and the secondary variables can be obtained by their functional relationship with the primary variables. Additionally, the special definite condition of this numerical model was illustrated. Two examples were given to simulate the airflow in soil whether there was groundwater or not, and the effectiveness of the numerical model is verified by comparing the results of simulation with that of exoeriment. 展开更多
关键词 GROUNDWATER water-air flow capillary pressure finite difference method compressed air
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