DG convection diffusion

Question

Hi,

I'm trying to construct the convection-diffusion operator with DG elements of order 0.
$$-\nu \Delta p + u\cdot\nabla p$$
where $u$ is a given continuous vector function of order 1.

I have had a look at the the undocumented example given but it is not clear that the equation is of the same form

Comments

Hi,

Can you precise a bit what are the terms involved?

I assume that v is velocity and u the diffusivity, and that they are given before the definition of the CD operator (either by calculation or by an Expression), and that both u and v are vectors.

I also assume that p is a vector in order for the operator to be consistent (if p is a scalar then this is a sum of a scalar and a vector which is not consistent).

What type of mesh do you wish to use? If u and v are given and p is a vector then it shouldn't be hard to implement using def? Maybe I don't understand what you are requesting...

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Here $\nu$ is the diffusivity coefficient and $v$ is the velocity vector.

$p$ is a scalar function.

I don't know how to set up the bi-linear form of the convection-diffusion equation with the jump conditions coming from the DG implementation

Answer 1

I encounter the same problem.