Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Experimental Studies of Difference Gas Dynamics Models with Shock Waves. / Godunov, S. K.; Klyuchinskii, D. V.; Fortova, S. V. и др.
в: Computational Mathematics and Mathematical Physics, Том 58, № 8, 01.08.2018, стр. 1201-1216.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Experimental Studies of Difference Gas Dynamics Models with Shock Waves
AU - Godunov, S. K.
AU - Klyuchinskii, D. V.
AU - Fortova, S. V.
AU - Shepelev, V. V.
N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - A linearized version of the classical Godunov scheme as applied to nonlinear discontinuity decays is described. It is experimentally shown that this version guarantees an entropy nondecrease, which makes it possible to simulate entropy growth on shock waves. The structure of shock waves after the discontinuity decays is studied. It is shown that the width of the shock waves and the time required for their formation depend on the choice of the Courant number. The accuracy of the discontinuous solutions is tested numerically.
AB - A linearized version of the classical Godunov scheme as applied to nonlinear discontinuity decays is described. It is experimentally shown that this version guarantees an entropy nondecrease, which makes it possible to simulate entropy growth on shock waves. The structure of shock waves after the discontinuity decays is studied. It is shown that the width of the shock waves and the time required for their formation depend on the choice of the Courant number. The accuracy of the discontinuous solutions is tested numerically.
KW - discontinuous solutions
KW - gas dynamics equations
KW - Godunov’s scheme
KW - Riemann problem
KW - shock waves
KW - RIEMANN SOLVERS
KW - Godunov's scheme
KW - SCHEMES
UR - http://www.scopus.com/inward/record.url?scp=85053933998&partnerID=8YFLogxK
U2 - 10.1134/S0965542518080067
DO - 10.1134/S0965542518080067
M3 - Article
AN - SCOPUS:85053933998
VL - 58
SP - 1201
EP - 1216
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 8
ER -
ID: 16757854