˝ ¨ 1,
Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org ∂f δp ξα ∂xα = J, J = ν(f + − f ), ν = μ , f + = fM 1 + 58 (1 − Pr)Sαcα c2 − 52 , S = nTq3/2 , fM = (πTn)3/2 exp (−c2), n, nu, 3 nT + nu2, q = Z 1, ξ, ξ2, 1 vv2 f dξ, c = √v , v = ξ − u.
2 2 T ∂ ∂ ∂t f + ∂xα (Ξα ◦ f ) = J , J = ν(f (S) − f ).
Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org
M (W s−1)(W s − W s−1) = −H(W s−1), s = 1, 2, . . . , M = ∂H . ∂W
Xi |ein| · |Vi| ≤ 10−5, ein = Xj 1, ξ, ξ2 jT Rinjωα.
1 0 n H(W ) = jXN=ξ1 ξξj2j (fj(S) − fj)ωj + 00 = 0, W = Tu .
vjvj2 2 Pr q q Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org -20 -15 y -10 -5 0 30 20 10 x 0 -10 -20
Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org Fluids, 36(9):1446 1459, 2007. 5. V.A. Titarev. Conservative numeri al methods for model kineti equations. Computers & spa e. Physi al Review E, 88:063301, 2013. 7. R.R. Arslanbekov, V.I. Kolobov, A.A. Frolova. Kineti solvers with adaptive mesh in phase Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org Суперкомпьютерные дни в России 2015 // Russian Supercomputing Days 2015 // RussianSCDays.org Numerical solution of kinetic equations for high-speed rarefied gas flows Vladimir Titarev Keywords: kinetic equations, unstructured mesh, parallel computing Analysis of aerodynamics of re-entry vehicles of realistic shape requires the development of computational methods for rarefied gas flow modeling. The present work is devoted to the problem of creating efficient parallel method and parallel software to solve the kinetic equation with the model collision integral of E.M. Shakhov on modern multi-core CPU as applied to such problems. As a test calculation, the high speed rarefied gas flow over the reentry space vehicle model of TsAGI is considered.