INVESTIGATION OF LAGRANGIAN-EULERIAN DIFFERENCE SCHEMES CONVERGENCE BY THE EXAMPLE OF “BLAST WAVES” TASK
S. M. Bakhrakh, I. Yu. Bezrukova, V. F. Spiridonov
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.2. С. 60-64.
The work is devoted to investigation of accuracy and convergence of Lagrangian-Eulerian difference schemes by the example of “Blast Wave” task reflecting plain one-dimensional interaction of two shock waves of different intensity. Computational investigation of three Eulerian difference schemes is given in the paper. Computation has been carried out in three different statements — Eulerian (on the motionless grid), Lagrangian-Eulerian (Lagrangian points correspond to the initial position of shock wave fronts) and using concentration method. Density miscalculation values in the integral norm L1 at the end point of time t = 0.038 as well as orders of convergence are given as a results of the investigation.
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