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Comparing analytic and numerical solutions
Posted Feb 19, 2015, 9:34 p.m. EST 1 Reply
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I want to check a numerical solution of a PDE (2-D) against an analytic function by plotting both, and taking the difference. I can plot each separately, but I cannot reference (join etc) both a Solution and an Analytic function to perform an operation. Is there a way to map the analytic function onto a mesh, for example, so I can difference them? The analytic equation is radially symmetric:
arg(besselk(0,sqrt(x^2+y^2)*sqrt(i*om/D)))
arg(besselk(0,sqrt(x^2+y^2)*sqrt(i*om/D)))
1 Reply Last Post Feb 20, 2015, 9:29 a.m. EST
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Posted:
10 years ago
Hi,
A way to compare them would be to use an expression that is the difference between the analytic and numerical solutions by plotting an expression such as
an1(x,y)-u
where an1 is the name of the analytic function, and u is the dependent variable for the numerical solution. You may have to run Update Solution from the Study node (or press F5) if you added or updated the analytic function after computing the numerical solution.
Best regards,
Magnus Ringh, COMSOL
A way to compare them would be to use an expression that is the difference between the analytic and numerical solutions by plotting an expression such as
an1(x,y)-u
where an1 is the name of the analytic function, and u is the dependent variable for the numerical solution. You may have to run Update Solution from the Study node (or press F5) if you added or updated the analytic function after computing the numerical solution.
Best regards,
Magnus Ringh, COMSOL