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How to define an Analytic Function for calculating the current density
Posted 2015年10月23日 GMT-4 04:52 Low-Frequency Electromagnetics, Modeling Tools & Definitions, Parameters, Variables, & Functions Version 5.1 1 Reply
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Dear all
I have a 1D time dependent model in PDEs. I have defined the Poisson Equation and now I would like to integrate all the currents over a point.
For doing the point evaluation, I have defined an Analytic Function, as you find in the attached image.
But I wonder if my definition is right or not, since the result of evaluation is always zero, there should be something wrong :)
Any comment or idea is greatly appreciated.
Regards
I have a 1D time dependent model in PDEs. I have defined the Poisson Equation and now I would like to integrate all the currents over a point.
For doing the point evaluation, I have defined an Analytic Function, as you find in the attached image.
But I wonder if my definition is right or not, since the result of evaluation is always zero, there should be something wrong :)
Any comment or idea is greatly appreciated.
Regards
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1 Reply Last Post 2015年10月23日 GMT-4 10:58
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Posted:
9 years ago
The function is an1(U, x) = -sigma*d(U,x). This always evaluates to 0 as d() is an operator, not a function: When the function is evaluated, it is evaluated for two numbers, and the derivative of a number with respect to another number is 0. You can use expression such as d(u,x) in expressions elsewhere because it is handled specially, but functions must be functions in the mathematical sense and can therefore only depend on the numerical values of the arguments and the Parameters defined under Global Definitions.
Instead of using an analytical function you can define a variable defined as -sigma*d(U,x). This will handle the derivative correctly. However, I'm not sure that that is what you want - it sounds as if you want to integrate the current over time, not differentiate it. You can use the timeint() operator for this - please refer to the documentation for how it is used.
Instead of using an analytical function you can define a variable defined as -sigma*d(U,x). This will handle the derivative correctly. However, I'm not sure that that is what you want - it sounds as if you want to integrate the current over time, not differentiate it. You can use the timeint() operator for this - please refer to the documentation for how it is used.