Streamline based grid adaption for Euler and Navier-Stokes: Direct and inverse design applications

Space-Marching Method for Calculating Steady Supersonic Flows on a Grid Adapted to the Solution

“…8. Despite the fact that in [16] the computation has been done on a very fine 221 × 81 grid, the pressure coefficient value is underpredicted on the ramp surface, while all of the present results are in excellent agreement with the exact analytical solution. We want to stress that the Richardson scheme captures the attached shock wave within only one grid cell with a slight postshock overshoot and resolves the expansion wave within two grid cells without nonphysical oscillations for all of the grids used.…”

“…computed by the present method on the nonadaptive, adaptive, and refined grids with both the numerical results of [16] and the exact solution in Fig. 8.…”