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Freely falling cylinder inside unbounded medium
Last Updated: 8 June 2011
People: Dedy Zulhidayat Noor,Chern, M.J.and Horng ,Tzyy Leng
We developed an immerse boundary method with both virtual force and heat source to solve Navier-Stokes and the associated energy transport equations to study some momentum and thermal flow problems caused by stationary and moving rigid solid objects. The key point of this novel numerical method is that the solid object, stationary or moving, is first treated as fluid governed by Navier-Stokes equations for velocity and pressure, and by energy transport equation for temperature in every time step. An additional virtual force term is then compensated to the right hand side of momentum equations at the solid object region to make it acting mechanically like a solid rigid body immersed in fluid exactly. Likewise, an additional virtual heat source term is applied to the right hand side of energy equation at the solid object region to maintain the solid object at prescribed temperature all the time. For the case of moving objects without a prescribed velocity, the motion of object is tracked in Lagrangian reference by the equations of linear momentum and transportation of a rigid body. We simulated some well-known and interesting cases to demonstrate the capability of the proposed method in handling fluid-solid interactions. Our current method avoids the otherwise requested dynamic grid generation in traditional method and shows great efficiency in the computation of thermal and flow fields caused by fluid-structure interaction.
1. Noor, D.Z., Chern, M.J.and Horng, T.L., 2009 An immersed boundary method to solve fluid–solid interaction problems.Computational Mechanics 44, 447–453.
2. Noor, D.Z., Rajesh Kanna, P. and Chern, M.J. 2009 Flow and heat transfer in a driven square cavity with double-sided oscillating lids in anti-phase. International Journal of Heat and Mass Transfer 52, 3009-3023.
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E-mail: mjchern@mail.ntust.edu.tw
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