Applications of a flowfield-dependent mixed explicit-implicit (FDMEI) method to heat and fluid dynamics problems

Comparisons of a flowfield-dependent mixed explicit-implicit (FDMEI) method with other numerical schemes and experimental data are presented. Several benchmark examples are investigated to confirm the soluton accuracy and stability through more careful comparisons. In the FDMEI method, the implicitness parameters dictate the schemes which are adjusted to the physical phenomena, compared with other numerical schemes dictated by arbitrarily selected constant parameters. Thus, tendencies of the implicitness parameters are dependent on the flow field. However, the implicitness parameters are more dependent on the flowfield in high-speed flows than in low-speed flows. Numerical results show that the FDMEI method is superior to other numerical schemes in accuracy and stability in all speed regimes, resolving shocks and vortexes.