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Computing the new mesh in Lagrangian co-ordinates

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Old   November 21, 2023, 12:23
Default Computing the new mesh in Lagrangian co-ordinates
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Matthew
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Suppose I am working in a 2D compressible elasticity. I am using Lagrangian co-ordinates (X,Y), and I want to compute the new shape. How would I go about it? Naively I would solve the equations:
\frac{\partial x}{\partial t}=u
\frac{\partial y}{\partial t}=v

I did that in 1D but I got errors, but I'm not sure about the parameters I used.
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finite volume method, grid analysis


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