Grid dependence of a numerical model

olekravchenko · November 25, 2018, 14:27

Introduction
Not so far I found that numerical solution of couple of hyperbolic nonlinear balance law and nonlinear ode systems depend on number of grid points.

Statement
of the problem is shown in here.

Output
is as follows (high resolution)

Question
Does anybody met that effect in Balance Law - ODE coupled system simulation? How to manage it?

FMDenaro · November 26, 2018, 08:36

I am not sure about your question... The dependence of the numerical solution on the grid size is a tatutological issue...If am right, I see that your solution has a mathematical discontinuity that can never be resolved exactly on a finite grid.

So what are you asking exactly?

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November 26, 2018, 08:36		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,877 Rep Power: 73	I am not sure about your question... The dependence of the numerical solution on the grid size is a tatutological issue...If am right, I see that your solution has a mathematical discontinuity that can never be resolved exactly on a finite grid. So what are you asking exactly?