Can diffusion-decay, advection-diffusion, and advection-diffusion-decay PDEs be modeled?

[JulianoGianlupi]

Hello!

Sorry if this is not the most appropriate venue to ask.

Can HAL solve diffusion-decay, advection-diffusion, and advection-diffusion-decay equations? Looking at the source code I can see pure diffusion and pure advection, but nothing with decay or combining diffusion and advection, i.e.,

• $\frac{\partial C}{\partial t} = D\nabla^2C - \gamma C$
• $\frac{\partial C}{\partial t} = \nabla (D\nabla C - v c) - \gamma C$

Thanks!

[torococo]

Hello, yes it can solve diffusion and advection, as well as decay. The correct usage of the PDE Grid in HAL is to call all of the diffusion, advection, reaction functions you want to apply for a given time-step then call the Update function to advance the state of the PDE to the next time-step.

[JulianoGianlupi]

Perfect, thanks! Are there any examples I could look at in the repo?

[torococo]

Sure, there's a demo in the Examples folder that shows how the different PDE functions can be combined. It's called _4PDEexample.java

On Thu, Jul 25, 2024, 12:55 PM Juliano Ferrari Gianlupi < @.***> wrote:

Perfect, thanks! Are there any examples I could look at in the repo?

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[JulianoGianlupi]

Thanks!