An extension of the MAC scheme to some unstructured meshes. (English) Zbl 1246.76113
Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 253-261 (2011).
Summary: We give a variational formulation of the standard MAC scheme for the approximation of the Navier-Stokes problem. This allows an extension of the MAC scheme to locally refined Cartesian meshes. A numerical example is presented, which shows an efficient computation of the solution of the Navier-Stokes problem for a general 2D or 3D domain, using locally refined meshes.
For the entire collection see [Zbl 1220.76004].
For the entire collection see [Zbl 1220.76004].
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
References:
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