Iterative Brinkman penalization for remeshed vortex methods
We introduce an iterative Brinkman penalization method for the enforcement of the no-slip boundary condition in remeshed vortex methods. In the proposed method, the Brinkman penalization is applied iteratively only in the neighborhood of the body. This allows for using significantly larger time steps, than what is customary in the Brinkman penalization, thus reducing its computational cost while maintaining the capability of the method to handle complex geometries. We demonstrate the accuracy of our method by considering challenging benchmark problems such as flow past an impulsively started cylinder and normal to an impulsively started and accelerated flat plate. We find that the present method enhances significantly the accuracy of the Brinkman penalization technique for the simulations of highly unsteady flows past complex geometries.
© 2014 Elsevier Inc. Received 27 September 2013. Received in revised form 12 September 2014. Accepted 24 September 2014. Available online 2 October 2014. We would like to acknowledge the helpful discussions with Henrik Juul Spietz, Johannes Tophøj Rasmussen, Babak Hejazialhosseini and Wim van Rees. We are gratefulfor the lift and drag data provided by Jeff D. Eldredge. Finally, we thank the reviewers for their insightful and helpful comments.