Operator splitting for Navier-Stokes equations and Chorin-Marsden product formula. (English) Zbl 0860.76063
Beale, J. T. (ed.) et al., Vortex flows and related numerical methods. Proceedings of the NATO Advanced Research Workshop, Grenoble, France, June 15-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 395, 27-38 (1993).
Summary: Operator splitting applied to the Navier-Stokes equations, in which alternately the nonlinearity and the diffusion are ignored, requires the accommodation of incompatible initial conditions at each time step. A one-dimensional model problem which can be solved explicitly and in which operator splitting converges is presented. Euler/Stokes splitting and the Chorin-Marsden product formula are discussed. Convergence results are reviewed.
For the entire collection see [Zbl 0818.00017].
For the entire collection see [Zbl 0818.00017].
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
