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This article is cited in 5 scientific papers (total in 5 papers)
Modifications of the godunov method for computing disturbance propagation in an elastic body
A. A. Aganinab, N. A. Khismatullinab a Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
b Institute of Mechanics and Engineering
Abstract:
Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO- modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.
Keywords:
linear waves in an elastic body, Godunov method, ENO-schemes, UNO-schemes, TVD-schemes.
Received: 25.11.2016
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