Iterative Brinkman penalization for simulation of impulsively started flow past a sphere and a circular disc. (English) Zbl 1375.76037
Summary: We present a Brinkman penalization method for three-dimensional (3D) flows using particle vortex methods, improving the existing technique by an iterative process. We perform simulations to study the impulsively started flow past a sphere at \(\operatorname{Re} = 1000\) and normal to a circular disc at \(\operatorname{Re} = 500\). The simulation results obtained for the flow past a sphere are found in qualitative good agreement with previously published results obtained using respectively a 3D vortex penalization method and a 3D vortex method combined with an accurate boundary element method. From the results obtained for the flow normal to a circular disc it is found that the iterative method enables the use of a time step that is one order of magnitude larger than required by the standard non-iterative Brinkman penalization method.
MSC:
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76D17 | Viscous vortex flows |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
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