Forces
- - On each particle: gravity + drag + spring forces
- - \(\displaystyle F_i(p,v,t)=m_i\,g - \mu\,v_i(t) + \sum_{j\in\mathcal{V}_i}
K_{ij}\,\left(\|p_j(t)-p_i(t)\|-L_{ij}^0\right)\frac{p_j(t)-p_i(t)}{\|p_j(t)-p_i(t)\|}\)
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- - \(\mathcal{V}_i\): neighborhood of particle \(i\)
- - \(L_{ij}^0\): rest length of spring \(ij\)
- Associated ODE \(\;\forall i, \left\{\begin{array}{l}p_i'(t)=v_i(t) \\ v_i'(t)=F_i(p,v,t)/m_i \end{array}\right.\)
- Q. How can we model the effect of the wind ?