In this paper, a three-dimensional, two-phase transport model of liquid-feed direct methanol fuel cell (DMFC), which is based on the multiphase mixture formulation and encompasses all components in a DMFC using a single computational domain, is specifically studied and simulated by a combined finite element-upwind finite volume discretization along with Newton’s method, where flow, species, charge-transport, and energy equations are simultaneously addressed. Numerical simulations in three dimensions are carried out to explore and design efficient and robust numerical algorithms for the sake of fast and convergent nonlinear iteration. A series of efficient numerical algorithms and discretizations is specifically designed and analyzed to assist in achieving this goal. Our numerical simulations demonstrate that the convergent and correct physical solutions can be attained within 100 more steps, against the oscillating and long-running nonlinear iterations (up to 5000 steps) performed by standard finite element/volume method without new numerical techniques.
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e-mail: pengtao.sun@unlv.edu
e-mail: cxw31@psu.edu
e-mail: xu@math.psu.edu
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August 2010
This article was originally published in
Journal of Fuel Cell Science and Technology
Research Papers
A Combined Finite Element-Upwind Finite Volume Method for Liquid-Feed Direct Methanol Fuel Cell Simulations
Pengtao Sun,
Pengtao Sun
Department of Mathematical Sciences,
e-mail: pengtao.sun@unlv.edu
University of Nevada, Las Vegas
, 4505 Maryland Parkway, Las Vegas, NV 89154
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Chaoyang Wang,
Chaoyang Wang
Department of Mechanical Engineering, and Department of Materials Science and Engineering,
e-mail: cxw31@psu.edu
Pennsylvania State University
, University Park, PA 16802
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Jinchao Xu
Jinchao Xu
Department of Mathematics,
e-mail: xu@math.psu.edu
Pennsylvania State University
, University Park, PA 16802
Search for other works by this author on:
Pengtao Sun
Department of Mathematical Sciences,
University of Nevada, Las Vegas
, 4505 Maryland Parkway, Las Vegas, NV 89154e-mail: pengtao.sun@unlv.edu
Chaoyang Wang
Department of Mechanical Engineering, and Department of Materials Science and Engineering,
Pennsylvania State University
, University Park, PA 16802e-mail: cxw31@psu.edu
Jinchao Xu
Department of Mathematics,
Pennsylvania State University
, University Park, PA 16802e-mail: xu@math.psu.edu
J. Fuel Cell Sci. Technol. Aug 2010, 7(4): 041010 (14 pages)
Published Online: April 7, 2010
Article history
Received:
July 16, 2008
Revised:
July 30, 2009
Online:
April 7, 2010
Published:
April 7, 2010
Citation
Sun, P., Wang, C., and Xu, J. (April 7, 2010). "A Combined Finite Element-Upwind Finite Volume Method for Liquid-Feed Direct Methanol Fuel Cell Simulations." ASME. J. Fuel Cell Sci. Technol. August 2010; 7(4): 041010. https://doi.org/10.1115/1.4000630
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