We present results from open-channel, Euler–Lagrange (EL) simulations of turbulent flow over an erodible particle bed at a shear Reynolds number $Re_{\tau }=180$ . Upon space and time averaging, our correctly reproduce the Wong & Parker ( ASCE J. Hydraul. Engng , vol. 132, issue 11, 2006, pp. 1159–1168) bedload transport relation (WP). However, local instantaneous sediment flux shows orders...