In this paper, a simple, non-sensitive, robust, and accurate computational procedure is presented and it does not require a prior knowledge of a reference trajectory for computing the optimum trajectory for minimum-time-toclimb to a prescribed final altitude of a supersonic aircraft. From the program, we fnst generate the possible range of initial Mach numbers, initial altitudes and climb times...

We investigate the accuracy of the Godunov scheme applied to the variable cross-section acoustic equations. Contrarily to the constant cross-section case, the accuracy issue of this scheme in the low Mach number regime appears even in the one-dimensional case; on the other hand, we show that it is possible to construct another Godunov type scheme which is accurate in the low Mach number regime.

<abstract><p>This paper addresses the low Mach number limit for two-dimensional Navier–Stokes–Korteweg systems. The primary purpose is to investigate relevance of capillarity tensor analysis. For sake a concise exposition, our considerations focus on case quantum Navier-Stokes (QNS) equations. An outline subsequent generalization general viscosity and tensors provided. Our main resu...