Two-dimensional numerical modelling of overtaking shock-wave/moving-body interactions C. Law and B.W. Skews School of Mechanical, Aeronautical and Industrial Engineering, University of the Witwatersrand, PO Wits 2050, South Africa. Abstract. Recent studies of shock-wave/moving-body interactions have used a moving bound- ary Euler code to identify the various interaction types and confirm the analytically determined interaction transitions. A re-implementation of the numerical model specifically for overtaking shock-wave/moving-body interactions was undertaken when the existing model proved unsatis- factory at modelling such overtaking interactions. The results from this model are not contam- inated by the interaction of the impinging shock or wedge bow shock with the domain boundary, as was characteristic of previous results. Results from the current model agree well with analytic- ally predicted flow behaviour and numerical results obtained using the previous implementation, providing a suitable tool for investigating overtaking s-w/m-b interactions. 1 Introduction Previously Law et al. [1] presented a numerical method for modelling shock-wave/moving- body (s-w/m-b) interactions. This model was subsequently used to investigate and char- acterise s-w/m-b interactions and was used successfully to provide numerical confirmation of most of the analytically predicted s-w/m-b interaction transitions [2]. Law and Skews [3] investigated the effect that relative motion between a shock and flow has on the Mach number of the flow. The work comprised an analysis of flow across moving oblique shocks using planar shock theory, the results of which were confirmed numerically using the model of Law et al. [1]. A shock propagating into flow ahead of, and in the same direction as the shock, is analogous to a supersonic body being overtaken by a shock wave, as illustrated in Fig. 1. Previously this had been simplified to a supersonic body and impinging shock. q w2 q w1 M w2 M w1 b 2 l b 1 Fig. 1. Typical overtaking shock-wave/moving-body interaction While the previous model produced satisfactory results for most of the s-w/m-b inter- actions modelled, the results for overtaking s-w/m-b interactions proved unsatisfactory. The results produced by the model of Law et al. [1] were of sufficient quality to verify