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Old Oct 24th 2018, 02:15 AM   #1
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Post analytical expression to numerical grid points

Hello everybody
does anyone knows how can I map an analytical expression for B to a discrete grid in numeral simulation?
Like the results of numerical MHD simulation which produce discrete data for B.
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Old Oct 24th 2018, 03:00 AM   #2
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The only way I can think of is the brute force method.
You basically calculate the analytical expression for every point in the grid.

Sometimes,
if the analytical expression describes a "well behaved" phenomenon,
shortcuts can be achieved by approximations and interpolating.

There may be more elegant solutions for certain particular problems,
but in general I can't think of any other way.
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Old Oct 24th 2018, 03:52 AM   #3
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Originally Posted by mehdi6 View Post
Hello everybody
does anyone knows how can I map an analytical expression for B to a discrete grid in numeral simulation?
Like the results of numerical MHD simulation which produce discrete data for B.
I don't what B is, but you could perhaps just loop over your discrete space and sample the analytical function?

Psuedocode (C# style):


Code:

B = new List<double>();

foreach (var xValue in xValues)
{
  var value = myAnalyticalFunction(xValue);
  B.Append(value);
}

Print(B)
In the above pseudocode, "xValues" is a list of x-axis values. If your function is multi-variate, you can loop over points.
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