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Numerical methods for multiphysics, multiphase, and multicomponent models for fuel cells.

機譯：用于燃料電池的多物理場，多相和多組分模型的數(shù)值方法。

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In this dissertation, we design and analyze efficient numerical methods for obtaining accurate solutions to model problems arising in fuel cells. A basic fuel cell model consists of five principles of conservation, namely, mass, momentum, species, charges (electrons and ions), and thermal energy. Overall, transport equations couple with electrochemical processes through source terms to describe reaction kinetics and electro-osmotic drag in the polymer electrolyte.;To model multiphase species transport in the porous media and the gas channel of fuel cells, we consider a multiphase mixture model framework. The diffusivity of the two-phase mixture water conservation equation in this model is nonlinear, discontinuous, and degenerate. To handle this difficulty, we developed efficient and fast nonlinear iterative solvers based on the Kirchhoff transformation and nonlinear Dirichlet-Neumann domain decomposition methods.;To model the coupling between the multiphase flow in the porous media and the viscous flow in the gas channel of fuel cells, we consider the Darcy-Stokes-Brinkman model, which treats both the Darcy equation and the Stokes equation in a single form of partial differential equation (PDE) but with strongly discontinuous viscosity and permeability coefficients. For this model, we develop robust finite element methods that are uniformly stable with respect to the highly discontinuous coefficients and their jumps.;Finally, we develop new numerical methods for the full steady-state 3D multi-physics simulation of liquid-feed direct methanol fuel cells (DMFC), consisting of five fundamental conservation equations: mass, momentum, species, charges, and thermal energy. Fast convergence of nonlinear iteration is achieved in our method.
機譯：在本文中，我們設(shè)計并分析了有效的數(shù)值方法，以獲得對燃料電池中出現(xiàn)的問題進行建模的精確解。基本的燃料電池模型包括五個守恒原理，即質(zhì)量，動量，種類，電荷（電子和離子）和熱能。總的來說，傳輸方程通過源項與電化學過程耦合，以描述聚合物電解質(zhì)中的反應動力學和電滲阻力。為了模擬燃料電池在多孔介質(zhì)和氣體通道中的多相物質(zhì)傳輸，我們考慮了多相混合物模型框架。該模型中兩相混合水守恒方程的擴散率是非線性，不連續(xù)且退化的。為了解決這一難題，我們基于基爾霍夫變換和非線性狄利克雷-諾伊曼域分解方法開發(fā)了高效，快速的非線性迭代求解器。為模擬多孔介質(zhì)中多相流與燃料氣體通道中的粘滯流之間的耦合而建模。單元，我們考慮Darcy-Stokes-Brinkman模型，該模型以單一形式的偏微分方程（PDE）形式處理Darcy方程和Stokes方程，但是它們的黏度和滲透系數(shù)非常不連續(xù)。對于此模型，我們開發(fā)了針對高度不連續(xù)系數(shù)及其跳躍均勻穩(wěn)定的魯棒有限元方法;最后，我們?yōu)橐后w進料直接甲醇的全穩(wěn)態(tài)3D多物理場仿真開發(fā)了新的數(shù)值方法燃料電池（DMFC），由五個基本守恒方程組成：質(zhì)量，動量，種類，電荷和熱能。我們的方法實現(xiàn)了非線性迭代的快速收斂。

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  • 作者

    Xue, Guangri.;

  • 作者單位

    The Pennsylvania State University.;

  • 授予單位 The Pennsylvania State University.;
  • 學科 Applied Mathematics.;Mathematics.;Energy.
  • 學位 Ph.D.
  • 年度 2008
  • 頁碼 194 p.
  • 總頁數(shù) 194
  • 原文格式 PDF
  • 正文語種 eng
  • 中圖分類
  • 關(guān)鍵詞

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