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AbstractAbstract
[en] After having reminded the definition of some model (elliptic, parabolic or hyperbolic) partial differential equations we will present several equations or systems of equations coming from very various area of computational physics: we are particularly interested in the radiative transfer equations which describe the interaction between the matter and radiation and by the striations equations which describe the plasma instabilities triggered in the ionosphere by the ambient electromagnetic field. We explain how to discretize all those equations by the DDFV (Discrete Duality Finite Volume) method on nearly arbitrary (polygonal, distorted, non-convex, etc...) meshes. Several numerical experiences illustrating the good behavior of the method will end the paper. (author)
[fr]
Apres avoir rappele la definition de quelques equations aux derivees partielles modeles (elliptique, parabolique, hyperbolique) nous presenterons plusieurs equations ou systemes d'equations aux derivees partielles provenant de domaines tres varies de la physique: on s'interessera en particulier aux equations du transfert radiatif qui decrivent les interactions entre la matiere et le rayonnement et aux equations des striations qui decrivent les instabilites d'un plasma dans l'ionosphere sous l'influence du champ electromagnetique ambiant. Nous expliquerons comment resoudre numeriquement ces differents types d'equations ou systemes d'equations par la methode DDFV (Discrete Duality Finite Volume) sur des maillages a peu pres quelconques (polygonaux, deformes, non convexes, etc...). Plusieurs experiences numeriques illustrant le bon comportement de la methode termineront l'expose. (auteur)Original Title
Sur une methode generale de discretisation des equations aux derivees partielles usuelles: application aux equations du transfert radiatif et des striations
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Source
8 Apr 2019; May 2019; 130 p; 111 refs.; Available from the INIS Liaison Officer for France, see the INIS website for current contact and E-mail addresses
Record Type
Miscellaneous
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Country of publication
CONVECTION, DARCY LAW, DIFFUSION, DIRAC EQUATION, EFFICIENCY, FOURIER HEAT EQUATION, LEGENDRE POLYNOMIALS, MAGNETOHYDRODYNAMICS, MAXWELL EQUATIONS, MESH GENERATION, NAVIER-STOKES EQUATIONS, NUMERICAL SOLUTION, PERFORMANCE, PLANCK RADIATION FORMULA, RADIANT HEAT TRANSFER, SCHROEDINGER EQUATION, SPHERICAL HARMONICS METHOD
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