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An approximate solution of one-dimensional piston problem |
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| Authors: | M P Lazarev Phoolan Prasad S K Singh |
| Institution: | (1) Institute of the Physics of the Earth, Russian Academy of Sciences, Bol'shaya Gruzinskaya 10, 123 810 Moscow, Russia;(2) Dept of Mathematics, Indian Institute of Science, 560 012 Bangalore, India;(3) Centre for Aeronautical System Studies and Analyses, New Thippasandra P.O., 560 075 Bangalore, India |
| Abstract: | A new theory of shock dynamics has been developed in the form of a finite number of compatibility conditions along shock rays. It has been used to study the growth or decay of shock strength for accelerating or decelerating piston starting with a nonzero piston velocity. The results show good agreement with those obtained by Harten's high resolution TVD scheme. |
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