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Abstract
A series of computations have been conducted to study the performance of a newly developed numerical algorithm for highly compressible flows. The algorithm is based on a generalization of a low-speed algorithm developed earlier and utilizes many features different from the conventionally adopted approach for solving compressible flows. By combining it with an adaptive grid procedure, both laminar and turbulent (closed by the k-ε model) flows can be satisfactorily computed and compared with the inviscid-flow solutions. The issue related to the adaptive gridding technique, the finite-difference operator, as well as the fluid dynamical aspects of inviscid, laminar, and turbulent flows are studied here. By assessing the results against generally established knowledge in terms of the flow separation, and shock wave and boundary-layer interaction, physically sensible solutions with a wide range of Mach numbers and Reynolds numbers can be observed from the present numerical algorithm.