An edge-based method for the incompressible Navier-Stokes equations on polygonal meshes. (English) Zbl 0989.76054
The authors present an edge-based finite volume method for solving nonstationary incompressible Navier-Stokes equations. The method is an extension of the one proposed by M. Thomadakis and M. Leschziner [Int. J. Numer. Methods Fluids 22, No. 7, 581-601 (1996; Zbl 0865.76069)], with another coupling of pressure and velocity. For time integration, an implicit two-stage Runge-Kutta scheme is used. Numerical results are shown for the buoyancy-driven cavity flow, decaying vortex flow, lid-driven cavity flow, impulsively started circular cylinder flow, and for the vortex shedding from a circular cylinder at different Reynolds numbers.
Reviewer: Etienne Emmrich (Berlin)
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
unstructured grid; edge-based finite volume method; nonstationary incompressible Navier-Stokes equations; implicit two-stage Runge-Kutta scheme; buoyancy-driven cavity flow; decaying vortex flow; lid-driven cavity flow; impulsively started circular cylinder; vortex sheddingCitations:
Zbl 0865.76069References:
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