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On the new choice of adaptive artificial viscosity

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Abstract

The method of adaptive artificial viscosity (AAV) [1, 2] as applied to gas dynamics problems in cylindrical, spherical, and Cartesian coordinates is considered in the paper. A new way of choosing artificial viscosity, resulting in the weak diffusion of shock waves (into three intervals), and accurate smoothing of oscillations of solutions having a grid nature is suggested. The calculation results are presented.

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References

  1. I. V. Popov and I. V. Fryazinov, “Grid Method for Solution of Gas Dynamics Equations with Introduction of Artificial Viscosity,” in Grid Methods for Boundary Problems and Applications, Proc. 7th All-Russian Seminar (Kazan. gos. univ., Kazan, 2007), pp. 223–230 [in Russian].

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  2. I. V. Popov and I. V. Fryazinov, “Finite-Difference Method for Solution of Gas Dynamics Equations with Introduction of Adaptive Artificial Viscosity,” Mat. Mod. 20(8), 48 (2008).

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  3. I. V. Popov and I. V. Fryazinov, “Adaptive Artificial Viscosity for a Multidimensional Gas Dynamics in Euler Variables in Cartesian Coordinates,” Mat. Mod. 22(1), 32 (2010).

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  4. I. V. Popov and I. V. Fryazinov, “Calculations of Two-Dimensional Test Problems Using the Adaptive Artificial Viscosity Method,” Mat. Mod. 22(5), 57 (2010).

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  5. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction (Springer).

  6. R. Liska and B. Wendroff, “Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations,” SIAM J. Sci. Comp. 25(3), 995 (2003). http://www.math.ntnu.no/conservation.

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Correspondence to I. V. Popov.

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Original Russian Text © I.V. Popov, I.V. Fryazinov, 2010, published in Matematicheskoe Modelirovanie, 2010, Vol. 22, No. 12, pp. 23–32.

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Popov, I.V., Fryazinov, I.V. On the new choice of adaptive artificial viscosity. Math Models Comput Simul 3, 411–418 (2011). https://doi.org/10.1134/S2070048211040089

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  • DOI: https://doi.org/10.1134/S2070048211040089

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