Many reacting flow applications mandate coupled solution of the species conservation equations. A low-memory coupled solver was developed to solve the species transport equations on an unstructured mesh with implicit spatial as well as species-to-species coupling. First, the computational domain was decomposed into sub-domains comprised of geometrically contiguous cells—a process termed internal domain decomposition (IDD). This was done using the binary spatial partitioning (BSP) algorithm. Following this step, for each sub-domain, the discretized equations were developed using the finite-volume method, written in block implicit form, and solved using an iterative solver based on Krylov sub-space iterations, i.e., the Generalized Minimum Residual (GMRES) solver. Overall (outer) iterations were then performed to treat explicitness at sub-domain interfaces and non-linearities in the governing equations. The solver is demonstrated for a laminar ethane-air flame calculation with five species and a single reaction step, and for a catalytic methane-air combustion case with 19 species and 22 reaction steps. It was found that the best performance is manifested for sub-domain size of about 1000 cells, the exact number depending on the problem at hand. The overall gain in computational efficiency was found to be a factor of 2–5 over the block Gauss-Seidel procedure.
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ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
August 10–14, 2008
Jacksonville, Florida, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4849-4
PROCEEDINGS PAPER
An Unstructured Reacting Flow Solver With Coupled Implicit Solution of the Species Conservation Equations Available to Purchase
Ankan Kumar,
Ankan Kumar
Ohio State University, Columbus, OH
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Sandip Mazumder
Sandip Mazumder
Ohio State University, Columbus, OH
Search for other works by this author on:
Ankan Kumar
Ohio State University, Columbus, OH
Sandip Mazumder
Ohio State University, Columbus, OH
Paper No:
HT2008-56145, pp. 437-443; 7 pages
Published Online:
July 7, 2009
Citation
Kumar, A, & Mazumder, S. "An Unstructured Reacting Flow Solver With Coupled Implicit Solution of the Species Conservation Equations." Proceedings of the ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. Heat Transfer: Volume 3. Jacksonville, Florida, USA. August 10–14, 2008. pp. 437-443. ASME. https://doi.org/10.1115/HT2008-56145
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