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A numerical solution of a transient shock wave problem

✍ Scribed by J.W. Watts; D.U. von Rosenberg


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
613 KB
Volume
24
Category
Article
ISSN
0009-2509

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✦ Synopsis


A numerical method for solving one-dimensional, compressible flow problems including locating and followjng shock waves is described. This method uses a small amount of computer storage, and complete problems can be computed in a few minutes on an IBM 7044 computer. Results of a problem for the discharge of air from a duct are presented. tThis work has been partially supported by NASA Contract NAS8-20136 issued at


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Numerical solution of a time-like Cauchy
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## Abstract Let __D__ βŠ‚ ℝ^__n__^ be a bounded domain with piecewise‐smooth boundary, and __q__(__x__,__t__) a smooth function on __D__ Γ— [0, __T__]. Consider the time‐like Cauchy problem magnified image magnified image Given __g__, __h__ for which the equation has a solution, we show how to approxi