Duality of the Vortex Structure Arising in a Supersonic Viscous Gas Flow Past a Plate and a Blunt-Fin Body Junction

Dual Numerical Solution for 3D Supersonic Laminar Flow Past a Blunt-Fin Junction: Change in Temperature Ratio as a Method of Flow Control

“…In the later computational study [9], it was established that the numerical solution is time dependent in certain cases investigated in [8]. Recently, in our investigations [14] it was shown that, under the conditions of study [8], a dual solution exists with two different solutions corresponding to metastable states of flow with different configurations of the vortex structure in the leading separation region; the revealed duality of the solution persists in a certain Reynolds number range [15]. At the same time, concerning the computations, the authors of [8] interpreted the obtained numerical solutions as stationary and unique for all the cases considered (Re D = 1.25 × 10 4 , 2.50 × 10 4 , and 3.75 × 10 4 ).…”

“…The finite-volume unstructured code SINF/Flag-S [12,13] was used to perform calculations. The convective fluxes on the faces of control volumes were evaluated using the second-order AUSM scheme [25] applying the van Albada TVD limiter [26].…”

“…In the case of supersonic flow past any obstacle mounted on the streamline surface, separation of the flow occurs due to the interaction of the shock wave with the boundary layer. The complex problem of the shock wave/boundary layer interaction is of great scientific and practical importance and has been intensively studied for many years, starting from the 1950s (see, for instance, [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]).…”

“…The model problem of supersonic flow past a symmetric blunt fin mounted on a plate is most often considered in the literature [5][6][7][8][9][10][11][12][13][14][15]. This type of geometry is a simplified representation of a wing-body or fin-body junction on a high-speed vehicle [16].…”

“…The first studies on numerical simulation used computational meshes that could not provide sufficient resolution of all flow features [5]. To date, high-quality numerical simulations for this configuration have been carried out in many works, and the results obtained are in a good agreement with the experimental data [7][8][9][10]13,14]. Despite the progress reached in the investigations of such type of flows, at present there are some aspects that require more detailed study.…”