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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, April 16, 2010 - 05:00

Location:

Gilkey 113

Guest Speaker:

Sourabh Apte

Institution:

School of Mechanical, Industrial, and Manufacturing Engineering, OSU

Abstract:

A finite-volume based fictitious domain method is developed for direct numerical simulation of flow over arbitrary shaped, immersed objects on fixed grids.

Each object is assumed to be made up of material points immersed into a fixed background mesh, structured of unstructured. The entire computational domain is first assumed to be a fluid and the Navier-Stokes equations are solved using a fractional-step method. The velocity field inside the immersed object is constrained to be a rigid body motion using an additional rigidity constraint force. High-order mollification kernels, typically used in particle methods, are applied to interpolate between the particle material points and the fixed background mesh. The accuracy of the numerical scheme is evaluated on several test cases involving single and multiple objects, fixed or freely moving, over a wide-range of Reynolds numbers and density ratios. We will discuss the suitability of this approach for different practical applications, for example, micro-air vehicles with leading edge actuator for improved lift-to-drag ratios; flow through porous media in the inertial range; wall-bounded, particle-laden turbulent flows; and control of flow maldistribution due to particulate fouling in microchannels; among others.