How can I solve the equation of curvature on PDE Toolbox?

The equation is ∇n̂=2*curvature, Curvature is a constant

n̂ = ∇f/∥∇f∥ (Unit normal)

Here f is f(x,y)

I made the geometry in PDE Toolbox, meshed it and inputted the values in PDE Toolbox. But I am unable to input ∥∇f∥. I want to be ||∇f||= sqrt(x^2+y^2+u^2)

Answer 1

[Precise Simulation]

∥∇f∥ should typically be sqrt(fx^2+fy^2+eps) where eps is a small constant to avoid divisions by zeros (since ∥∇f∥ is in the denominator). As this look like a Hamilton-Jacobi distance function problem another approach would be to transform the equation to a time dependent one, which should be somewhat easier to solve.

[Sarojeet Deb]

Shouldn't it be sqrt(ux^2+uy^2+eps) instead?

[Precise Simulation]

Yes, if your function 'f' is labelled 'u' in the pde implementation.