Application of finite element and remeshing technique to shock interference on a cylindrical leading edge

Simulation of multiple shock–shock interference using implicit anti‐diffusive WENO schemes

“…The surface pressure and heat transfer rate distributions along the circumference of the cylinder for this type IV supersonic jet intersections are shown in Figures 11 and 12, respectively. These data are plotted as functions of angular position theta measured in degrees from the horizontal centerline of the cylinder [10]. Both WENO5 and WENO5-AD schemes give similar results and compare well with the experimental data.…”

On the interference of a weak and a strong shock wave in a dissociating nitrogen flow

“…Interactions of shock waves have also been investigated numerically by several other authors such as Tannehill et al (1976), Klopfer et al (1988) and Stewart et al (1988), and they have demonstrated, that the complex flowfield structures of for example the type IV interaction can be resolved. Comparisons with the experimental data of Edney and Wieting et al (1989) show that a good agreement between the numerical and experimental data can be achieved with either finite difference or finite element methods.…”

“…It is on this part of the trajectory, where the kinetic energy and the density of the flow are both high enough to excite the nitrogen dissociation at reaction rates which lead to dissociation lengths in the order of magnitude of the characteristic geometrical length and the chemical composition of the gas is in a nonequilibrium state. After this regime of a high deceleration, which can be simulated with respect to the duplication of characteristic chemical relaxation and flow lengths in a free piston driven shock tunnel, the kinetic energy of the flow is too low to excite the dissociation of molecules, especially nitrogen, and the chemical composition of the flow remains frozen, f2 -Even if there exists no vehicle flying with very high velocities at low altitudes, where the combination of a high kinetic energy and a high density would justify the assumption that the chemical composition of the flow is in chemical equilibrium, this assumption has been applied to the nonequilibrium flow regime to assess high temperature real gas effects on the shock/shock interaction phenomena (see for example Stewart et al (1988)). …”

Finite Element Methodology for Integrated Flow-Thermal-Structural Analysis

“…The procedure adopted in this paper is to refine all elements that satisfy the criterion e,>oY and derefine all elements that satisfy (5) (6) where a and P are preset threshold constants and Y the maximum element error over the entire domain. The key variable used for the inviscid refinement is typically pressure or density and a and p are usually 0.2 and 0.1 respectively.…”

“…Adaptive mesh refinement procedures for compressible high speed flows are of recent origin. Mesh refinement procedures for triangular finite element meshes were initially detailed by Zienkewicz, Lohner, and Morgan^, and the application of these procedures to steady 6 , and transient' compressible flow problems has been demonstrated extensively. Adaptive procedures for finite element meshes with quadrilateral elements have been developed by Oden et.…”