The numerical simulation of flows past flapping foils at moderate Reynolds numbers presents two challenges to computational fluid dynamics: turbulent flows and moving boundaries. The direct forcing immersed boundary (IB) method has been developed to simulate laminar flows. However, its performance in simulating turbulent flows and transitional flows with moving boundaries has not been fully evaluated. In the present work, we use the IB method to simulate fully developed turbulent channel flows and transitional flows past a stationary/plunging SD7003 airfoil. To suppress the non-physical force oscillations in the plunging case, we use the smoothed discrete delta function for interpolation in the IB method. The results of the present work demonstrate that the IB method can be used to simulate turbulent flows and transitional flows with moving boundaries.
Bibliographical noteFunding Information:
This work was supported by the Chinese Academy of Sciences under the Innovative Project “Multi-scale modeling and simulation in complex systems” (Grant No. KJCX-SW-L08), “Mathematical modeling of complex system” (Grant No. KJCX3-SYW-S01), the National Basic Research Program of China (Grant No. 2007CB814803), and the National Natural Science Foundation of China (Grant Nos. 10325211, 10628206, 10732090 and 10872201).
- Immersed boundary method
- Moving boundary
- Smoothed discrete delta function
- Transitional flows