Run-up on a large fixed body in waves and current have been calculated using both a fully nonlinear time-domain boundary element model and a finite-order time-domain boundary element model, the latter being correct to second order in the wave steepness and to first-order in the current strength. The results from the two models agree well in the low Froude number and low wave steepness regime. This serves as a cross-validation of the two boundary element models. Furthermore, the two sets of data provide an excellent method for examining the domain of validity for the second-order method. Such limits are, for the case studied, given in terms of maximum Froude number and maximum wave steepness. (C) 2001 Elsevier Science Ltd. All rights reserved.