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A viscous penalty method is used to simulate the interaction between spheres and flows with Particle- Resolved Direct Numerical Simulations. An original method has been developed and validated in order to extract from these simulations the hydrodynamic forces and heat transfers on immersed boundaries representing the particles thanks to Aslam extensions [3]. This method is an improvement of a previous work based on Lagrange extrapolations [6, 7]. Comparisons between these two approaches are considered on various incompressible motions such as the flow around an isolated particle at various Reynolds numbers and flows across packed spheres under Faced-Centered Cubic monoand bi-disperse arrangements.

Novel method to compute drag force and heat transfers for motions around spheres