Title
A second-order coupled immersed boundary-SAMR construction for chemically reacting flow over a heat-conducting Cartesian grid-conforming solid.
Abstract
In this paper, we present a second-order numerical method for simulations of reacting flow around heat-conducting immersed solid objects. The method is coupled with a block-structured adaptive mesh refinement (SAMR) framework and a low-Mach number operator-split projection algorithm. A “buffer zone” methodology is introduced to impose the solid–fluid boundary conditions such that the solver uses symmetric derivatives and interpolation stencils throughout the interior of the numerical domain; irrespective of whether it describes fluid or solid cells. Solid cells are tracked using a binary marker function. The no-slip velocity boundary condition at the immersed wall is imposed using the staggered mesh. Near the immersed solid boundary, single-sided buffer zones (inside the solid) are created to resolve the species discontinuities, and dual buffer zones (inside and outside the solid) are created to capture the temperature gradient discontinuities. The development discussed in this paper is limited to a two-dimensional Cartesian grid-conforming solid. We validate the code using benchmark simulations documented in the literature. We also demonstrate the overall second-order convergence of our numerical method. To demonstrate its capability, a reacting flow simulation of a methane/air premixed flame stabilized on a channel-confined bluff-body using a detailed chemical kinetics model is discussed.
Year
DOI
Venue
2014
10.1016/j.jcp.2014.04.019
Journal of Computational Physics
Keywords
Field
DocType
Reacting flow,Conjugate heat exchange,Cartesian solid,Immersed boundary,Adaptive mesh refinement,Operator-split projection
Boundary value problem,Mathematical optimization,Classification of discontinuities,Regular grid,Mathematical analysis,Premixed flame,Flow (psychology),Adaptive mesh refinement,Numerical analysis,Mathematics,Cartesian coordinate system
Journal
Volume
ISSN
Citations 
272
0021-9991
0
PageRank 
References 
Authors
0.34
8
5
Name
Order
Citations
PageRank
Kushal S. Kedia100.34
Cosmin Safta2338.56
Jaideep Ray319824.42
Habib N. Najm425727.90
Ahmed F. Ghoniem5102.64