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dx value (0 to 0.5 m):
Boundary at x =0 m (1 to 4):
 

 

dt value (0 to 1s):

Non Linear Convection, the finite difference method:

One of the best ways to demonstrate how numerical simulation works is to apply it on a non-linear convection 1D differential equation:

non linear convection
Once you discretise the equation, it looks like:

discretised differential equation
 

 

Instructions:

1. Select a dt ( time step) value between 0 & 1s
2. Select a dx (spatial step) value between 0&0.5m
3. Provide a boundary value at x =0 ( 1 to 4)
4. Click Simulate and enjoy the simulation