diff --git a/theory/latex/sph.tex b/theory/latex/sph.tex index 008e37e48850bf361ee85f0aa6dde1d72210b98d..f0cebab163637ff6a0bc6f8503ac48c58e5fdbc0 100755 --- a/theory/latex/sph.tex +++ b/theory/latex/sph.tex @@ -198,7 +198,7 @@ The second loop is used to compute the accelerations (tertiary quantities). The \label{eq:dudt}\\ \frac{dh_i}{dt} &=& \frac{h_i}{3}\sum_j \frac{m_j}{\rho_j} \left(\vec{v_j} - \vec{v_i} \right) \cdot\vec{\nabla_r}W(\vec{r}_{ij}, h_i)\\ - v_{sig,i} &=& c_i + c_j + \max_j(0, \hat{r}_{ij} \cdot (\vec{v}_j - \vec{v}_i)) + v_{sig,i} &=& c_i + c_j + \max_j(0, 3\hat{r}_{ij} \cdot (\vec{v}_j - \vec{v}_i)) \end{eqnarray} In practice the loop is here performed over all pairs of particles such that $|\vec{r}_{ij}| < \zeta h_i$ or