COMSOL-Multiphysics函数使用

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InfinitelyClosertoReal无限接近真实!中仿科技2014年1月COMSOLMultiphysics函数定义及操作技巧钟振红InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!运算符常用且实用InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!特殊函数微分常用试函数运算符,功能很强大InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!重要的判断函数方便提取瞬时值InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!数学函数!注意区别InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!物理常量InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!几何变量InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!预定义变量InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!拉格朗日单元变量自定义PDE,ODE时非常简洁调用InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!COMSOLMultiphysics函数定义InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!•定义解析函数、内插函数和分段函数•以静电问题为例说明各类函数的使用方法控制方程𝛻∙𝑫=𝜌𝑣𝑬=−𝛻𝑉𝑫=𝜀0𝜀𝑟𝑬边界条件𝑉=𝑉0𝑉=0−𝒏∙𝑫=0InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!函数使用函数定义X^2an1(x)解析函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!多个自变量的解析函数x*(1-x)+y*(1-y)an2(x,y)解析函数,续InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!插值函数作为电势边界int1(x)内插函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!0000.50110000.50.20.50.5210.510110.510.8110导入文件作为内插函数int2(x,y)内插函数,续InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!插值函数作为电势边界pw1(x)分段函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!其他函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!其他函数,续InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!波形函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!波形函数,续InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!随机函数InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!随机函数,续InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!T=0Kq=100W/m2k,热传导系数网格结果Tinitial=0K绝热绝热1x1m正方形基本模块传热模式下建立二维模型,保存此模型,后续以此来扩展实例:通过正方形区域的热流InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!TkTk=0.1+exp(-(T/25[K])^2)[W/(m*K)]=1[W/(m*K)]Tk=(1+T/200[K])[W/(m*K)]T=(0.1+10*(T25[K]))[W/(m*K)]k研究以下情况InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!计算结果InfinitelyClosertoReal无限接近真实!InfinitelyClosertoReal无限接近真实!k=(0.1+10*step1(T[1/K]))[W/(m*K)]使用平滑函数避免不收敛

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