Numerical investigation of the AUSM-family in viscous and inviscid axisymmetric flow Field

This research explores and compares the AUSM scheme family based on compressible, steady, viscous, and inviscid axisymmetric flows in a finite-volume method-based and unstructured data storage grids code. When the effects of side-velocity are taken into account, axisymmetric flows can be considered a three-dimensional problem in the longitudinal plane; as a result, there is a considerably decreased number of computations required compared to computations in three dimensions. The most important and latest modifications of the AUSM-family were developed to identify more efficient methods in the AUSM- family in terms of accurate prediction of the axisymmetric flow field in internal and external axisymmetric flows, viscous (inviscid), and high-speed flows with shock waves characteristics. The novelty of this investigation is the assessment and comparison done on the AUSM-family in resolving the compressible axisymmetric flow field, which has received less attention in prior studies. The studies determined that the AUSM+M method performs better against a strong shock wave than other methods investigated in this research. According to the modifications made in this scheme, unlike other methods, there are no wiggles in the regions mentioned earlier. Furthermore, it is discovered that the AUSM+M method had a higher rate of convergence than the AUSM+ and SLAU approaches. In addition, the AUSM+M scheme is distinctive from other techniques in viscous flows because it produces the minimum kinetic energy dissipation rate and fewer shock anomalies in the shock wave region.