We try to write the formulas in its most general form and fix First of all, in the simplest form of the HD equations we have $latex frac{dboldsymbol{v}_a}{dt} = -sum_b m_b (frac{P_a}{rho_a^2} + frac{P_b}{rho_b^2}) nabla_a W_{ab}$ (momentum) where: $latex rho_a = sum_b m_b W_{ab}$ (density), $latex frac{de_a}{dt} = frac{1}{2} sum_b m_b (frac{P_a}{rho_a^2} + frac{P_b}{rho_b^2}) boldsymbol{v}_{ab} …
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