کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
172825 458564 2012 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Model order reduction of parametrized nonlinear reaction–diffusion systems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Model order reduction of parametrized nonlinear reaction–diffusion systems
چکیده انگلیسی

We present a model order reduction technique for parametrized nonlinear reaction–diffusion systems. In our approach we combine the reduced basis method – a computational framework for rapid evaluation of functional outputs associated with the solution of parametrized partial differential equations – with the empirical interpolation method – a tool to construct “affine” coefficient-function approximations of nonlinear parameter dependent functions. We develop an efficient offline–online computational procedure for the evaluation of the reduced basis approximation: in the offline stage, we generate the reduced basis space; in the online stage, given a new parameter value, we calculate the reduced basis output. The operation count for the online stage depends only on the dimension of the reduced order model and the parametric complexity of the problem. The method is thus ideally suited for the many-query or real-time contexts. We present numerical results for a non-isothermal reaction–diffusion model to confirm and test our approach.


► Model order reduction technique for nonlinear reaction–diffusion system.
► Empirical interpolation method allows efficient offline–online decomposition even in the presence of nonlinear terms.
► Computational saving in the online stage are several order of magnitude compared to classical solution techniques.
► Model problem: self-ignition of a coal stockpile with Arrhenius type nonlinearity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Chemical Engineering - Volume 43, 10 August 2012, Pages 33–44
نویسندگان
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