Recent content by Rikyuri

  1. R

    I V * grad(V) = grad(V^2/2) - rotor(omega)

    Not much: $$\nabla \times \nabla f = 0; \nabla \cdot \nabla \times f = 0$$ Those are the only one I remember using a part for this new one.
  2. R

    I V * grad(V) = grad(V^2/2) - rotor(omega)

    Oh, so it is the divergence, not the gradient. I don't really know Levi-Civita identities; I've only heard about them. Regarding the techniques, I have knowledge of Calculus II. If can be usefull I started to use Einstein notation for this class, sometimes I struggle a bit with it, but I can...
  3. R

    I V * grad(V) = grad(V^2/2) - rotor(omega)

    Hi, while studying for my aerodynamics class, I encountered this equivalence that my professor gave us as a vector identity: $$ \mathbf{V} \cdot \nabla \mathbf{V} = \nabla\left(\frac{V^{2}}{2}\right)-\mathbf{V} \times \boldsymbol{\omega} $$ where ## \boldsymbol{\omega} = \nabla \times \mathbf{V}...
  4. R

    Need Help with Aerodynamics Equations?

    Hi, I'm an aerospace engineering student in Turin. This semester, I have an aerodynamics class, and I need some help understanding some of the equations. I also really like physics and enjoy math and I think this forum can help me explore new and interesting topics, especially during times...