Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow
Joint Authors
Abe, Satoshi
Kato, Shinsuke
Hamba, Fujihiro
Kitazawa, Daisuke
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-15
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
When a hazardous substance is diffused, it is necessary to identify the pollutant source and respond immediately.
However, there are many cases in which damage is caused without a clear understanding of where the pollutant source is located.
There are three groups of identifying pollutant source information (Liu and Zhai, 2007): the probability method, forward method, and backward method.
In our previous study, we proposed reverse simulation, which is categorized as a backward method (Abe and Kato, 2011).
Numerical instability by negative diffusion is a principal problem in the backward method.
In order to improve the problem, we applied a low-pass filter operation to the concentration flux in the RANS analysis.
The simulation secured the numerical stability.
However, reverse simulation accuracy is expected to depend on the grid resolution and filter width.
In this paper, we introduce reverse simulation results in cavity flow.
In particular, we survey the dependence of reverse simulation accuracy on the grid resolution and filter width.
Moreover, we discuss the dependence of reverse simulation on the grid resolution and filter width with a one-dimensional diffusion equation.
As a result, we found that the simulated negative diffusion varies greatly among the grid resolution and filter width.
American Psychological Association (APA)
Abe, Satoshi& Kato, Shinsuke& Hamba, Fujihiro& Kitazawa, Daisuke. 2012. Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993762
Modern Language Association (MLA)
Abe, Satoshi…[et al.]. Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow. Journal of Applied Mathematics No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-993762
American Medical Association (AMA)
Abe, Satoshi& Kato, Shinsuke& Hamba, Fujihiro& Kitazawa, Daisuke. Study on the Dependence of Reverse Simulation for Identifying a Pollutant Source on Grid Resolution and Filter Width in Cavity Flow. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-993762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993762