Application of the Godunov method and its second-order extension to cascade flow modeling

Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers

“…Figure 9 presents the Mach number distributions on the upper (curve 1) and lower (curve 2) walls of the channel in various flow regimes. These distributions agree well with numerical data from [34] (as in the case of velocity magnitude level lines, weak differences are observed on the lower wall of the channel near the corner points).…”

“…8b). The inclination angles of the shocks and the level lines agree well with the numerical data presented in [34]. Figure 9 presents the Mach number distributions on the upper (curve 1) and lower (curve 2) walls of the channel in various flow regimes.…”

“…Specifically, the implicit Euler time differencing and the Beam-Warming scheme for discretizing inviscid fluxes were used in [9]. The computations in [34] were based on Godunov's method and were performed in a wide range of Mach numbers.…”

“…Flows through a channel with a bump were computed, for example, in [9,34]. Specifically, the implicit Euler time differencing and the Beam-Warming scheme for discretizing inviscid fluxes were used in [9].…”

“…The weak asymmetry of the flow is associated with the leading and trailing edges of the bump (a horseshoe vortex of weak intensity develops behind the bump). To eliminate these shortcomings, the flow characteristics near the corner points are computed by interpolating the flow parameters from inte rior nodes of the computational domain (see [34]). At high inlet Mach numbers, shock waves develop and interact in the flow (Fig.…”