Abstract
The gasdynamic equations are solved by using an implicit Lagrangian algorithm in one and two dimensions. The evolution equation of energy is replaced by the algebraic isentropic condition for each Lagrangian computational cell. The algorithm is essentially developed for isentropic flows but is also applicable to problems involving weak shocks where the entropy increase across the shock is fairly small. The algorithm can be used to predict shock tube problems provided that the entropy change of the shocked fluid is taken into account by incorporating the Rankine-Hugoniot condition. The present method does not require an added artificial viscosity since it contains a built-in mechanism to damp high-frequency disturbances behind shocks. The solution performance of the algorithm is assessed against the exact solution for two shock tube problems. Contact discontinuities are computed with infinite resolution (the number of cells over which the variation occurs is zero). Finally, the algorithm is applied to several gasdynamic problems.
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