Artificial Viscosity Methods forModelling Shock Wave Propagation
The paper gives an overview of the artificial viscoity method widely used today to alow the simulation of problems containg shock waves. The development of the most common basic form of the viscosity term is summarised and its behaviour is illustrated through simulations of a 1D piston problem. Test problems that are commonly used to test different viscosity formulations are then discussed to further illustrate the method. Finally other shock viscosity forms such as edge and tensor viscosities are briefly discussed.
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- 3.Toro E.F. (1999) Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer-Verlag Berlin HeidelbergGoogle Scholar
- 5.Landshoff R. (1955) A numerical method for treating fluid flow in the presence of shocks. LA-1930, Los Alamos National Laboratory.Google Scholar
- 6.Lin J.I. (2004) DYNA3D: A nonlinear, explicit, three-dimensional finite element code for solid and structural mechanics. UCRL-MA-107254, Lawrence Livermore National Laboratory. 19 Artificial Viscosity Methods 365Google Scholar
- 11.Margolin L.G. (1988) A centered artificial viscosity for cells with large aspect ratios. UCRL-53882, Lawrence Livermore National Laboratory.Google Scholar
- 15.Kurapatenko V.F. (1967) In: Difference methods for solutions of problems of mathematical physics, I (Editor: N.N. Janenko). Amer. Math. Soc., Providence, R.I., p. 116.Google Scholar