Write 1D equations using tensorial form

1

Hello,

I have an 1D domain and I want to solve the Navier-Stokes equations. Instead of writing the 1D form of the terms I want to write it in a tensorial form. Supposing that u is the velocity I want to replace u.dx(0) with grad(u) for example. I don’t know if tensorial operations are allowed when the domain is 1D.

Thanks

2

Hi, you can use gradient and divergence in one dimension too. However, you have to be careful with the rank of these operators. For example, in 1D the gradient of u (a scalar) will be rank 1 (a vector) although it will only have one entry. So in that case you would have to take grad(u)[0] otherwise you could use div(u) which will return a scalar.

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