On the numerical technique for the simulation of hypervelocity test flows

Abstract

a b s t r a c tA shock-expansion tube (SET) is one of the major ground test facilities to generate really high-enthalpy and hypervelocity test flows. However, the strong shock wave may give rise to chemically non-equilibrium characteristic flow feature in a SET. In addition, the test time duration of a SET is extremely short which leads to difficulties in measurements and flow diagnostics. It is therefore appropriate to consider employing CFD approach, coupled with available experimental data, to determine the characteristic of the test flow in a SET. The dispersion-controlled dissipative scheme (DCD) is used for our simulation of chemically non-equilibrium flows associated with a SET. In this paper, the several numerical issues which occur in the computational investigation of the test flow in our SET facility are discussed. A new flux splitting algorithm based on local characteristics is worked out for the DCD scheme to mitigate any spurious oscillations. With the mentioned updated DCD scheme, the computed results compare well with the experimental data provided for validation.

Numerical investigation of oblique detonations induced by a finite wedge in a stoichiometric hydrogen-air mixture

“…The governing equations are discretized on Cartesian grids and solved with the DCD scheme [33] with Strang's splitting, and the algorithm has been used to study the complicated flows [34,35]. The lastest H 2 /O 2 kinetic model for high-pressure combustion [36][37][38] is used here, which involves 27 reversible elementary reactions among the 8 species (H 2 , O 2 , H 2 O, H, O, OH, HO 2 , and H 2 O 2 ) with 5 nonreacting species (N 2 , Ar, He, CO, and CO 2 ).…”

Cellular Aluminum Particle-Air Detonation Based on Realistic Heat Capacity Model

“…Gas properties were considered to change with temperature (McBride, Zehe, Gordon 2002), but chemical reactions and gas dissociations were neglected. The shock-capturing method is the Dispersion-Controlled Dissipation scheme (Zonglin 2004), a type of TVD scheme that is popular among researchers in this field (Hu, Dou, Khoo 2011;Hu et al 2015;Teng and Jiang 2013).…”

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

“…We list below only a few examples over the past year (since 2015). Recent applications of WENO schemes can be found in the simulations of astrophysics and geophysics [55,83,137,140,162,172,215,223], atmospheric and climate science [70,181,225], batch chromatographic separation [101], biomolecular solvation [286], bubble clusters in fluids [222], combustion [11,15,24,164,214,268], detonation waves [92,114,145,233], elastic-plastic solids [173], flame structure [261], granular gas [3], hypersonic flows [109], infectious disease models [209], laser welding [174], magnetohydrodynamics [20,166], mathematical finance for solving the Black-Scholes equation [90], multiphase and multispecies flows [13,91,108,110,159,160,239], networks and blood flows [168], ocean waves [28,125], oil storage process [196], rarefi...…”