Parallelization algorithm for implicit method computation of hypersonic nonequilibrium gas flow past a body, based on Navier-Stokes equations
Tóm tắt
The earlier proposed algorithm of parallelization of the computer-code developed for solving the two-dimensional stationary Navier-Stokes equations using the implicit iterative scheme is extended to the nonequilibrium gaseous mixture flow. The parallelization algorithm is based on decomposition of the computation region into several parts corresponding to the number of processors, with the maintenance of the implicit type of a difference scheme in each subregion. The parallelization efficiency is analyzed by the example of the computation of the flow past a re-entry vehicle moving in the Earth’s atmosphere at a hypersonic velocity. The algorithm has demonstrated good scalability for a number of processors N ≤ 15.
Tài liệu tham khảo
A. B. Gorshkov and V. V. Lunev, “Calculation of Turbulent Base Heat Exchange behind Axially Symmetrical Bodies,” Kosmonavtika i Raketostroenie, No. 10, 119–126 (1997).
A. B. Gorshkov, “Heat Exchange under Supersonic Flow of the Sphere and Cylinder at Small Reynolds Numbers,” Izv. Akad. Nauk MZhG, No. 1, 156–164 (2001).
V. I. Vlasov and A. B. Gorshkov, “Comparison of the Results of Hypersonic Flow of Blunt-Nosed Bodies Obtained Numerically and in Flight Experiment OREX,” Izv. Akad. Nauk MZhG, No. 5, 160–168 (2001).
A. B. Gorshkov, “Multisequencing Algorithm for Numerical Solution of 2D Stationary Navier-Stokes Equations by Using the Implicit Iterative Scheme,” Mat. Modelir., No. 10, 13–20 (2005).
P. V. Marrone and C. E. Treanor, “Chemical Relaxation with Preferential Dissonation from Exited Vibrational Levels,” Phys. Fluids 6(9), 1215–1221 (1963).
C. Wilke, “A Viscosity Equation for Gas Mixtures,” J. Chem. Phys. 18(4), 517–519 (1950).
E. A. Mason and S. C. Saxena, “Approximate Formula for the Thermal Conductivity of Gas Mixtures,” Phys. Fluids 1(5), 361–369 (1958).
C. D. Scott, “Reacting Shock Layers with Slip and Catalytic Boundary Conditions,” AIAA J. 13(10), 1271–1278 (1975).
S. Yoon and A. Jameson, “An LU-SSOR Scheme for the Euler and Navier-Stockes Equations,” AIAA Paper, No. 87-0600 (1987).
T. H. Pulliam and J. L. Steger, “Recent Improvements in Efficiency, Accuract, and Convergence for Implicit Approximate Factorization Algorithms”, AIAA Paper, No. 85-0360 (1985).
W. Gropp and E. Lusk, “User’s Guide for mpich, a Portable Implementation of MPI Version 1.2.1,” in Technical Report ANL/MCS-TM-ANL-96/6 (Argonne National Laboratory, Univ. Chicago, 1996).
Y. Inouye, “OREX Flight—Quick Report and Lessons Learned”, in Proc. 2nd Euro. Symp. on Aerothermodynamics for Space Vechicles (ESTEC. Europe Space Agency, Noordwik, Nov. 1994), pp. 271–279.