Chit, O.J. and Omar, Ashraf Ali and Asrar, Waqar and Zaludin, Z. A.
(2005)
Hypersonic flow simulation by the gas-kinetic bhatnagar-gross-krook scheme.
AIAA JOURNAL, 43 (7).
pp. 1427-1433.
ISSN 0001-1452
Abstract
The gas-kinetic Bhatnagar–Gross–Krook (BGK) scheme is extended to hypersonic flow simulations and thus
shows that the compressible inviscid flow solutions of the simulations are efficiently and accurately obtained from the
BGK scheme without the disastrous shock instability phenomenon that occurs in most hypersonic flow simulations
involving strong shock waves. For this particular study, the effect of chemistry in hypersonic flows has not been
taken into account. Hence, the assumption of calorically perfect gas is imposed in all simulations. The high-order
resolution of the scheme is achieved by utilizing monotone upstream-centered schemes for conservation laws-type
initial reconstruction. While, an implicit-type time-integration method known as the approximate factorization–
alternating direction implicit is adopted for computing both steady and unsteady calculations. The gas-kinetic
scheme is tested meticulously in four two-dimensional numerical examples, namely, the blunt-body problem, the
double Mach reflection problem, the axisymmetric blunt-body problem, and the flow over a 15-deg ramp. The
numerical results of the BGK scheme when compared with the other schemes and experimental data show that
this numerical technique is robust, accurate, and stable for hypersonic flow.
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