کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
172874 | 458567 | 2012 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Reduced order modelling of chemical reactors with recycle by means of POD-penalty method Reduced order modelling of chemical reactors with recycle by means of POD-penalty method](/preview/png/172874.png)
Spectral method based on POD are an effective approach for model reduction but variable boundary conditions are often a problem, since basis functions must satisfy boundary conditions at all times. In this work we introduce weak imposition of boundary conditions by means of a penalty method and apply the method to develop reduced order models of two different chemical reactors. A quantitative analysis shows that, by changing the values of the penalty parameters, arbitrary accuracy can be achieved at the expense of increasing CPU time. Computations can be reduced by a factor 50 at least, by maintaining still acceptable accuracy. Performance parameters of the approach appear to be model dependent.
► Spectral method based on POD are an effective approach for model reduction.
► Variable boundary conditions are a problem with spectral methods.
► We introduce weak imposition of boundary conditions by a penalty method.
► POD-penalty generates a reduced order model of arbitrary accuracy.
► Computations are reduced by a factor 50 maintaining still good accuracy.
Journal: Computers & Chemical Engineering - Volume 39, 6 April 2012, Pages 22–32