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A numerical method for fully resolved simulation (FRS) of rigid particleflow interactions in complex flows

Summary: A numerical method for fully resolved simulation (FRS) of rigid particle­flow
interactions in complex flows
Sourabh V. Apte1c
, Mathieu Martinc
, and Neelesh A. Patankard
aSchool of Mechanical, Industrial, and Manufacturing Engineeing, Oregon State University, Corvallis, OR 97331
bDepartment of Mechanical Engineering, Northwestern University, Evanston, IL 60208
A fictitious-domain based formulation for fully resolved simulations of arbitrary shaped, freely moving rigid
particles in unsteady flows is presented. The entire fluid-particle domain is assumed to be an incompressible, but
variable density, fluid. The numerical method is based on a finite-volume approach on a co-located, Cartesian
grid together with a fractional step method for variable density, low-Mach number flows. The flow inside the fluid
region is constrained to be divergence-free for an incompressible fluid, whereas the flow inside the particle domain
is constrained to undergo rigid body motion. In this approach, the rigid body motion constraint is imposed by
avoiding the explicit calculation of distributed Lagrange multipliers and is based upon the formulation developed
by Patankar ([1]). The rigidity constraint is imposed and the rigid body motion (translation and rotational velocity
fields) is obtained directly in the context of a two-stage fractional step scheme. The numerical approach is applied
to both imposed particle motion and fluid-particle interaction problems involving freely moving particles. Grid
and time-step convergence studies are performed to evaluate the accuracy of the approach. Finally, simulation
of rigid particles in a decaying isotropic turbulent flow is performed to study the feasibility of simulations of


Source: Apte, Sourabh V. - School of Mechanical, Industrial, and Manufacturing Engineering, Oregon State University


Collections: Engineering