Parallel Computation in Hypersonic Aerodynamic Heating Problem

A parallel computational fluid dynamics code has been developed for the study of aerodynamic heating problem in hypersonic flows. The code employs the 3D Navier-Stokes equations as the basic governing equations to simulate the laminar hypersonic flow. The cell centered finite volume method based on structured grid is applied for spatial discretization. The AUSMPW+ scheme is used for the inviscid fluxes, and the MUSCL approach is used for higher order spatial accuracy. The implicit LU-SGS scheme is applied for time integration to accelerate the convergence of computations in steady flows. A parallel programming method based on MPI is employed to shorten the computing time. The validity of the code is demonstrated by comparing the numerical calculation result with the experimental data of a hypersonic flow field around a blunt body.

Authors:

• Ding Guo-hao
• Li Hua
• Wang Wen-long

Keywords:

• Aerodynamic Heating
• AUSMPW+
• MPI
• ParallelComputation

References:

[1] P. L. Roe, "Approximate Riemann solvers, parameter vectors, and
difference schemes," Journal of Computational Physics, vol. 135, 1997,
pp. 250-258.
[2] J. H. Lee, O. H. Rho, "Numerical analysis of hypersonic viscous flow
around a blunt body using Roe's FDS and AUSM+ schemes," AIAA
paper 97-2054, 1997.
[3] M. S. Liou, C. J. Steffen, "A new flux splitting scheme," Journal of
Computational Physics, vol. 107, 1993, pp. 23-39.
[4] M. S. Liou, "Progress towards an improved CFD method: AUSM+,"
AIAA paper 95-1701, 1995.
[5] M. S. Liou, "A sequel to AUSM: AUSM+", Journal of Computational
Physics, vol. 129, 1996, pp. 364-382.
[6] M. S. Liou, "A further development of the AUSM+ scheme towards
robust and accurate solutions for all speeds," AIAA paper 2003-4116,
2003.
[7] K. H. Kim, C. Kim, O. H. Rho, "Methods for the accurate computations of
hypersonic flows I. AUSMPW+ Scheme," Journal of Computational
Physics, vol. 174, 2001, pp. 38-80.
[8] K. H. Kim, C. Kim, "Accurate, efficient and monotonic numerical
methods for multi-dimensional compressible flows Part I: Spatial
discretization," Journal of Computational Physics, vol. 208, 2005, pp.
527-569.
[9] J. Blazek, "Computational fluid dynamics: principles and applications,"
Elsevier, 2001, pp. 5-25, 76-77, 93-95, 110-113, 116-119.
[10] G. D. van Albada, B. van Leer, W. W. Roberts, "A Comparative study of
computational methods in cosmic gas dynamics," Astronomy and
Astrophysics, vol. 108, 1982, pp. 76-84.
[11] S. Yoon, A. Jameson, "Lower-Upper Symmetric-Gauss-Seidel Method
for the Euler and Navier-Stokes equations," AIAA paper 87-0600, 1987.
[12] M. S. Holden, A. R. Moselle, F. R. Riddell, "Studies of aerothermal loads
generated in regions of shock/shock interaction in hypersonic flow,"
AIAA paper 88-0477, 1988.
[13] F. S. Billig, "Shock-wave shapes around spherical- and cylindrical-nosed
bodies," Journal of Spacecraft and Rockets, vol.4, no.6, 1967, pp.
822-823.