A Cartesian Method For Mixing Tank Simulation
Author(s)
J. N. Thornock & P. J. Smith
Abstract
We present a study of a Cartesian grid method termed the Cell Adjusted Boundary
ForceMethod (CABFM) and analyze its potential for reacting mixing tank simulations.
CABFM represents the geometry separately from the fixed Cartesian mesh
on which the momentum equations are solved, allowing the geometry to move
freely or with a prescribed motion. The moving geometry does not alter the underlying
Cartesian lattice. This Cartesian method is akin to an immersed boundary
method, whereby a force vector representing the moving boundary is added to the
momentum equations. CABFM adds complexity to represent the geometry from
traditional immersed boundary methods by altering intersected cells using volume
and area fraction quantities. We analyze simple, laminar, mixing tank configurations
with chemical reaction. The reaction set considered consists of two, parallel
competing reactions. The resulting flow field obtained from the simulations compares
well with experimental data. Selectivity of the slow reaction is measured
after a period of time and qualitatively compares well with experimental data.
Keywords: Cartesian methods, mixing tanks, immersed boundaries, parallel
reactions.
1 Introduction
In this paper, we present a method for solving the incompressible Navier-Stokes
equations and scalar transport on a staggered, Cartesian, finite volume mesh for
complex, moving boundaries. The numerical CFD grid is static for all time while
the geometry is moved with a prescribedmotion across the CFD grid creating arbitrary
intersections. No remeshing of the CFD grid is necessary to accommodate the
moving boundary.
Keywords
Cartesian methods, mixing tanks, immersed boundaries, parallel
reactions.
Related Book
Other papers in this volume
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