Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the Navier–Stokes and heat equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1905-1917

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The stability and numerical viscosity of certain Lagrangian methods for flow simulation are analyzed in numerical experiments. Most attention is given to the viscous vortex domains method and its generalization, the viscous vortex thermal domains method.
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     author = {Ya. A. Dynnikov and G. Ya. Dynnikova},
     title = {Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the {Navier{\textendash}Stokes} and heat equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1905--1917},
     publisher = {mathdoc},
     volume = {51},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a13/}
}
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Ya. A. Dynnikov; G. Ya. Dynnikova. Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the Navier–Stokes and heat equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1905-1917. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a13/