A particle method to solve the Navier-Stokes system |
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Authors: | G H Cottet S Mas-Gallic |
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Institution: | (1) Centre de Mathématiques Appliquées, Ecole Polytechnique, F-91128 Palaiseau Cedex, France;(2) Analyse Numérique, T55-65, 5ê étage, Université Pierre et Marie Curie, 4 Place Jussieu, F-75252 Paris Cedex 05, France |
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Abstract: | Summary We extend to the case of the two-dimensional Navier-Stokes equations, a particle method introduced in a previous paper to solve linear convection-diffusion equations. The method is based on a viscous splitting of the operator. The particles move under the effect of the velocity field but are not affected by the diffusion which is taken into account by the weights. We prove the stability and the convergence of the method. |
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Keywords: | AMS(MOS): 65N30 CR: G1 8 |
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