Applicability of a semi-implicit pressure-based algorithm without spurious pressure oscillations to real fluid flows

In the development of liquid rocket engines, prediction of the combustion instability and thermal load on the walls of combustion chambers in the design stage is one of the most important things to build reliable and low-cost rockets. Even to this day, these phenomena are predicted on a trial-and-error basis by conducting experiments many times, which increases the development costs. To reduce the development costs, numerical simulations should be used as a diagnostic tool post computer-aided engine design, which enables engineers to predict undesirable phenomena in the early design stage. However, numerical simulations of flows under rocket engine-like conditions suffer from high computational costs and numerical instabilities due to spurious pressure oscillations. In this study, an efficient and robust semi-implicit pressure-based algorithm for real fluid flows is developed with the aim of simulating reacting transcritical flows, but as a first step, its applicability to multi-dimensional numerical simulations of non-reacting cryogenic fluids under severe conditions is demonstrated.