Published May 1988
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Families of exact solutions of gas dynamics equations in planar, cylindrical and spherical geometries with shocks
Creators
- 1. Centre d'Etudes de Limeil-Valenton, Departement de Mathematiques Appliquees, Service Mathematiques et Codes Numeriques, B.P No. 27 94190 Villeneuve-Saint-Georges (France)
Description
Several families of exact and relatively simple solutions of the one space dimension gas dynamics equations with shocks are given. Most of these solutions are obtained by applying a boundary condition of the form: u1 (Ri,t) = 0 where u1 is the gas velocity behind the shock wave and Ri is the initial radius of any point where the shock is generated. Other families are obtained from a boundary condition of the following form u1( Ri,t) = f(Ri) g(t). In each case, the initial conditions of the gas are determined in order to provide the expected shock, and the complete description of the gas flow as well as the propagation law of the shock wave are given. (author)
Abstract (French)
On donne plusieurs familles de solutions exactes relativement simples des equations de la dynamique des gaz avec chocs, en geometries 1-D quelconques; la plupart sont obtenues a partir d'une condition a la limite u1 ( Ri,t) = 0 ou u1 designe la vitesse materielle qui existe derriere l'onde de choc et Ri est l'abscisse initiale d'un point quelconque ou se forme le choc. D'autres familles sont obtenues a partir d'une condition a la limite de la forme u1( Ri,t) = f(Ri) g(t). On determine dans chaque cas les conditions initiales du gaz compatibles avec une telle condition a la limite et on calcule completement l'ecoulement en aval et en amont du choc, ainsi que la trajectoire de l'onde de choc. (auteur)Files
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Additional details
Additional titles
- Original title (French)
- Famille de solutions exactes des equations de la dynamique des gaz en geometries plane, cylindrique et spherique avec chocs
Publishing Information
- Imprint Pagination
- 50 p.
- Report number
- CEA-N--2573
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 49089196
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; CONSERVATION LAWS; CYLINDRICAL CONFIGURATION; DENSITY; DIFFERENTIAL EQUATIONS; EQUATIONS OF STATE; PRESSURE GRADIENTS; RANKINE-HUGONIOT EQUATIONS; SHOCK WAVES; SPHERICAL CONFIGURATION; TRAJECTORIES; VELOCITY; WAVE PROPAGATION
- Descriptors DEC
- CONFIGURATION; EQUATIONS; MATHEMATICAL SOLUTIONS; PHYSICAL PROPERTIES
Optional Information
- Notes
- 4 refs.; Available from the INIS Liaison Officer for France, see the INIS website for current contact and E-mail addresses