Prof. Amitabh Bhattacharya's Talk

Mar 30, 2017 - 17:00

Mar 30, 2017 - 18:00

Rm. No. 118 Ground floor Chemical Engg. Dept.

Seminars

Prof. Amitabh Bhattacharya IIT Bombay

Abstract: Many instances involving fluid flow around arbitrary shaped particles with small surface features at finite Reynolds number can be found in both nature and technological applications. In this talk an efficient hybrid approach combining Finite-Difference (FD) method and Boundary Integral (BI) method is presented. The 2D unsteady Stokes equation is solved on a Cartesian grid using a second order FD method while the 2D steady Stokes equation is being solved near the particle using BI method. The two methods are coupled within the viscous boundary layer a few FD grid cells away from the particle where solutions from both FD and BI methods are valid. We demonstrate that this hybrid method can be used to accurately solve for the flow around particles with irregular shapes even though radius of curvature of the particle surface is not resolved by the FD grid. This method allows us to formulate an O(N) scheme for dilute suspensions where N is the number of particles. For semi-dilute suspensions where particles may cluster a novel envelope formation method has been formulated and implemented which enables solving the BI problem for each individual particle cluster allowing efficient simulation of hydrodynamic interaction between particles even when they are in close proximity. We will also discuss how below a threshold particle Reynolds number which in turn depends on the required resolution of the particle surface the FD-BI scheme will be more computationally efficient than a pure FD scheme solved on a multi-block grid.Bio: Amitabh Bhattacharya is an Associate Professor at the Department of Mechanical Engineering I.I.T. Bombay. He received his Ph.D. in Theoretical and Applied Mechanics from University of Illinois Urbana Champaign his M.S. from Univ Massachusetts Amherst and his B.Tech from I.I.T Kanpur. Prior to joining IITB in 2012 he was a postdoctoral fellow at the Department of Chemical Engineering University of Pittsburgh. His research interests are related to various areas of fluid mechanics. His research group attempts to solve problems related to turbulence interfacial flows fluid-structure interaction and multiphase flows usingboth experimental and computational methods. Note: The seminar is mandatory for those enrolled in CL 702/704.