@article{edwards_franklin_liou_2000, title={Low-diffusion flux-splitting methods for real fluid flows with phase transitions}, volume={38}, DOI={10.2514/2.1145}, abstractNote={Methods for extending the AUSM+ low-diffusion flux-splitting scheme toward the calculation of real fluid flows at all speeds are presented. The single-phase behavior of the fluid is defined by the Sanchez-Lacombe equation of state, a lattice-fluid description. Liquid-vapor phase transitions are modeled through a homogeneous equilibrium approach. Time-derivative preconditioning is utilized to allow effective integration of the equation system at all flow speeds and all states of compressibility. Modifications to the preconditioned variant of AUSM+ necessary to preserve solution accuracy under such conditions are presented in detail. One-dimensional results are presented for the faucet problem, a classic test case for multifluid algorithms, as well as for liquid octane flow through a converging-diverging nozzle. Two-dimensional calculations are presented for water flow over a hemisphere/cylinder geometry and liquid carbon dioxide flow through a capillary nozzle}, number={9}, journal={AIAA Journal}, author={Edwards, Jack and Franklin, R. K. and Liou, M. S.}, year={2000}, pages={1624–1633} }