A conservative particle approximation for a boundary advection-diffusion problem
ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 6, pp. 757-791.
@article{M2AN_1992__26_6_757_0,
     author = {Lucquin-Desreux, B. and Mas-Gallic, S.},
     title = {A conservative particle approximation for a boundary advection-diffusion problem},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {757--791},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {26},
     number = {6},
     year = {1992},
     mrnumber = {1183416},
     zbl = {0766.65095},
     language = {en},
     url = {http://archive.numdam.org/item/M2AN_1992__26_6_757_0/}
}
TY  - JOUR
AU  - Lucquin-Desreux, B.
AU  - Mas-Gallic, S.
TI  - A conservative particle approximation for a boundary advection-diffusion problem
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1992
SP  - 757
EP  - 791
VL  - 26
IS  - 6
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - http://archive.numdam.org/item/M2AN_1992__26_6_757_0/
LA  - en
ID  - M2AN_1992__26_6_757_0
ER  - 
%0 Journal Article
%A Lucquin-Desreux, B.
%A Mas-Gallic, S.
%T A conservative particle approximation for a boundary advection-diffusion problem
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1992
%P 757-791
%V 26
%N 6
%I AFCET - Gauthier-Villars
%C Paris
%U http://archive.numdam.org/item/M2AN_1992__26_6_757_0/
%G en
%F M2AN_1992__26_6_757_0
Lucquin-Desreux, B.; Mas-Gallic, S. A conservative particle approximation for a boundary advection-diffusion problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 6, pp. 757-791. http://archive.numdam.org/item/M2AN_1992__26_6_757_0/

[1] C. Anderson, Observations on Vorticity Creation Boundary Conditions in Mathematical Aspects of Vortex Dynamics (R. E. Caflish ed.), S.I.A.M., Philadelphia 1988. | MR | Zbl

[2] J. P. Choquin, S. Huberson, Application de la méthode particulaire aux écoulements à grand nombre de Reynolds, 18e Congrès National d'Analyse Numérique, Puy St-Vincent (1985).

[3] J. P. Choquin, B. Lucquin-Desreux, Accuracy of a deterministic particle method for Navier-Stokes equations, Internat. J. Numer. Methods Fluids, 8 (1988), 1439-1458. | Zbl

[4] A. Chorin, Numerical study of slightly viscous flow, J. Fluid Mech., 57 (1973), p. 785. | MR

[5] G. H. Cottet, Boundary conditions and the deterministic vortex methods for the Navier-Stokes equations in Mathematical Aspects of Vortex Dynamics (R. E. Caflish ed.), S.I.A.M., Philadelphia 1988. | MR | Zbl

[6] G. H. Cottet, S. Gallic, A particle method to solve transport - diffusion equations - Part I : the linear case, Internal report n° 115, C.M.A.P., École Polytechnique, Palaiseau, France.

[7] G. H. Cottet, S. Mas-Gallic, A particle method to solve the Navier-Stokes system, Numer. Math. 57 (1990), 1-23. | MR | Zbl

[8] P. Degond, S. Mas-Gallic, The weighted particle method for convection - diffusion equations, part I : the case of an isotropic viscosity, part II : the anisotropic case, Math. Comput. 53 (1989), 485-526. | MR | Zbl

[9] J. Goodman, Convergence of the random vortex method, Comm. Pure Appl. Math., 40 (1987), 189-220. | MR | Zbl

[10] S. Huberson, Modélisation asymptotique et numérique de noyaux tourbillonaires enroulés, Thèse d'état (1986), Université Pierre et Marie Curie.

[11] S. Huberson, A. Jolles, C. R. Acad. Sci. Paris 309, Série II, 445-448, Paris, 1989, and A Jollès, Résolution des équations de Navier-Stokes par des méthodes particules maillage, Thèse de Doctorat de l'Université, Université Pierre et Marie Curie, février 1989. | MR | Zbl

[12] A. Leonard, G. Winckelmans, Improved vortex methods for three-dimensional flows with application to the interactions of two vortex rings in Mathematical Aspects of Vortex Dynamics (R. E. Caflish ed.), S.I.A.M., Philadelphia 1988. | MR | Zbl

[13] B. Lucquin-Desreux, Particle approximation of the two dimensional Navier-Stokes equations, Rech. Aérospat. 4 (1987), 1-12. | Zbl

[14] B. Lucquin-Desreux, Méthode particulaire conservative avec condition à la limite en dimension 1, internal report, Lab. Anal. Num. 1990.

[15] S. Mas-Gallic, Thèse d'État de l'Université Pierre et Marie Curie, 1987 and C. R. Acad. Sci. Paris 305, série I, p. 431-434, 1987. | MR | Zbl

[16] S. Mas-Gallic, C. R. Acad. Sci. Paris 310, série I, p. 465-468, 1990 and Une méthode particulaire déterministe incluant diffusion et conditions aux limites, internal report 90003, Lab. Anal. Num. 1990. | MR | Zbl

[17] S. Mas-Gallic, P. A. Raviart, A particle method for first order symmetric systems, Numer. Math. 51 (1987), 323-352. | EuDML | MR | Zbl

[18] F. Pepin, Simulation of the flow past an impulsively started cylinder using a discrete vortex method, Thesis, California Institute of Technology, Pasadena, California (1990).

[19] P. A. Raviart, An analysis of particle methods, in Numerical Methods in Fluid Dynamics (F. Brezzi, ed.), Lecture Notes in Math., vol. 1127, Springer Verlag, Berlin 1985. | MR | Zbl