The random choice method on a non-staggered grid utilising an efficient Riemann solver

A practical description of the Random Choice Method (RCM) on non-staggered grids is presented. The original idea appears to be due to Colella (1982). The approach is much simpler than the staggered grid version of RCM, which is the one traditionally used. It also offers a number of advantages with regards to use of non-regular meshes in space and time, adaptive gridding and hybridisation of RCM with other methods. Also an exact Riemann solver is presented that is shown to be very efficient and simple to use. Its performance is comparable to that of Gottlieb (1986) and significantly faster than the approximate Riemann solver of Dukowicz (1985), at least for the ideal equation of state considered here. Starting in 1946 as the College of Aeronautics, the Cranfield Institute of Technology was granted university status in 1969. In 1993 it changed its name to Cranfield University.