Combination of MOOSE Kernels for root finding

[TLWise]

Which combination of kernels would allow me to solve the simple relation of "a*u - f = 0", where f is a defined function of the variable u, a is an arbitrary coefficient and u is the variable being solved for?

[GiudGiud]

f can be a BodyForce (or ADBodyForce) kernel and a*u is a Reaction or CoupledForce kernel

Guillaume

[TLWise]

I was able to get a solutions to the model using the following function: f = x^3+x^2+4x+2, but I really needed to model the function as f = u^3+u^2+4u+2, where u is the variable being solved for. How do I modify the code to recognize that the function depends on the variable? It appears that the SolutionFunction may be applicable here?

[GiudGiud]

How do I modify the code to recognize that the function depends on the variable

set this expression in an ADParsedMaterial
then use a ADMatBodyForce to add the term to the equation

[GiudGiud]

SolutionFunction

no this is very different. That one is actually a little hacky, it s a Function that depends on a variable that is inside a solution file

[TLWise]

Excellent! Works like a charm. This helps me improve my understanding of how to apply MOOSE to the solution of the Coefficient form PDEs.