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Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24
www.ijera.com 22|P a g e
Baroclinic Channel Model in Fluid Dynamics
Kharatti Lal
Deptt .of (Applied Science) – Mathematics Govt. Millennium Polytechnic College Chamba Himachal Pradesh -
176310
ABSTRACT
A complex flow structure is studied using a 2-dimentional baroclinic channel model Unsteady Navier - stokes
equation coupled with equation of thermal energy ,salinity and the equation of state are implemented .System
closure is achieved through a modified Prandtl,
s mixing length formulation of turbulence dissipation The model
is applied in a region where the fluid flow is effected by various forcing equation .In this case ,flow is estuarine
region affected by diurnal tide and the fresh water inflow in to the estuary and a submerged structure is
considered giving possible insight in to stress effects on submerged structure .the result show that in the time
evolution of the vertical velocity along downstream edge changes sign from negative to positive .as the dike
length increases the primary cell splits and flow becomes turbulent du e to the non-linear effect caused by the
dike .these are found to agree favourably with result published in the open literature.
Key Words: Submerged dike, estuarine dynamics, Baroclinic numerical model, Turbulent dike.
I. INTRODUCTION
The two – dimensional baroclinic model
predicts flow in a vertical plane with horizontal and
vertical momentum equation .from the economic
point of view the estuarine dynamics has gained
increasing importance .The exploration for oil in this
region has brought about an interesting feature of
interaction of the water waves and the estuarine
structure .the physical model s are not viable due to
economic and man –hours point of view and the
analytical model s do not gives an exact solution to
the problems .Steady of flow characteristics using a
numerical model has become an important tool for
gaining insight into the dynamical stability.
Accurate predictions of wave transformation due
to submerged dike could be achieved by non –linear
shallow water waves theories [1] using the boundary
integral equation method. A similar approach is
applied in Ref. [2] for transformation of periodic
wave crossing over the dike. The important and main
characterize this interaction is the generation of the
vortex in the flow field around the marine objects
due to wave body interaction and the subsequent
scouring effects .Numerical modeling is confined to
mainly the solitary wave transformation on crossing
the submerged dike and related corresponding flow
fields [ 3, 4] with some observational studies [5] the
present study extends the methodology to the case of
a complex resultant forcing of fresh water flow and
the semi – diurnal tide existing in estuarine
.turbulence changes are accounted as a function of
vertical density satisfaction as salinity and thermal
energy variation are substantial along the estuary.
The model uses a free surface boundary condition to
bring in a realistic semi diurnal – tidal forcing on the
down- stream Boundary condition are based on the
specification of condition on an incoming
characteristic , disposable parameters are used to
represent the forcing function which consists of
strength of the fresh water and the amplitude of the
semi – diurnal tide .Notable feature is the use of
upstream scheme for the horizontal advection term in
the transport equation s .Numerical investigations
delve into flow characteristic in the vertical, the flow
evolution and a possible insight into scouring effects
at the bottom .
Mining and web structure mining, Clustering,
Classification and finding. Association Rule are the
techniques used for almost all data mining and web
mining task s. other techniques are sequential
patterns, regression, Deviation detection and other
statistical and machine leaving method .
The Process of identification natural grouping:
This paper focuses on clustering, which is the
processing s of objects Most of the existing methods
for document clustering are based on the either
probabilistic m, methods, and distances based
methods such as k-means analysis, hierarchical
clustering [10] and nearest neighbor clustering [6]
use a selected set of words appearing in a different
documents as features The k- algorithmic is a straight
forward method s for clustering data [6] .The basic
procedure of k-means method typically. begins with
the assigning each data items to a cluster .The
number of cluster are say, k is provided a priori by
the user .Next the cluster center s are calculated by
the centroid of the data item in each cluster . After
that a new assignment of the data item s to cluster is
computed by assigning them to their closest center
according to some distance measure. Different
distance measure or web matrices are well explained
RESEARCH ARTICLE OPEN ACCESS
Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24
www.ijera.com 23|P a g e
in [1] .Web matrices are divided into six categories
based on its applications.
The second approach user the similarity based
on structure of the web page. There are several
techniques that can be used to detect lay out structure
in HTML documents. Tables are frames are two
components that are commonly used to organize the
contents of web documents .Thus a tables or frame
detection technique is required to give a view of web
page layout for an analyzing process. Many
developers prefer to use tables rather than frames to
design the prefer web pages layout. Even though
frames can provide added context and consistency
during navigation, they have several serious
problems that are related to screen real estate , page
model, the speed of the display and the complexity of
the web design [8] .Therefore , several researchers
have reported their work in table mining due to the
efficiency and the popularity of tables for web page
layout structure [11, 12] many other approaches such
as hybrid, partition based Clustering, based on
documents structure [9,10] are also develop by the
researcher s using one or other combination of basic
clustering techniques mentioned above. The other
approaches, which use Neural Networks [7]. and soft
computing techniques [6] are also in their way to
success .more about the advancement in web mining
can be found in [5]
(A) CLUSTERING METHOD
Web documents clustering using hyperlink
structures :The World Wide Web has a rich structure
:it contains both textual web documents and the
hyper links that connect them The web documents
are hyperlink s between them from a directed graph
in which the web documents can be views as
vertices and the hyperlinks as the directed edges
.Algorithms have been developed utilizing this
directed graph to extract information contained in a
collection of hyperlinked web documents Kleinberg
proposed the HITS algorithm based purely on
hyperlink information to retrieve the most relevant
information :Authority and hub documents may for
a user query ( Kleinberg (1998)). However, if the
hypertext collection consists of several topics
authority and hub documents may also cover the
most popular topics and leave out the less popular
ones .One way to remedy this situation is to first
partition the hypertext collection into topical groups,
and present the search results as a list of topics to the
user. This leads to the need to cluster web
documents based on both the textual and
hyperlink information . In this model ,the similarity
metric used for clustering web page is based on
hyperlink structure , Textual information and co –
citation patterns The link information is obtained
directly from the link graph .given a link graph G =
(V,E),which is directed , we define the matrix A to
be:
Ai j = { 1 if (i, j ) ε E or ( j , e) ε E
{ i f : 0 , otherwise
A is the adjacency matrix of the link graph
where directionality of the hyperlink is ignored. Link
structure alone provides us with rich information on
the topics of the documents collection.
(B) The Factor of the Textual Information:
The next factor included is textual information
(S ) of the web page .The textual information can be
included to better cluster the web documents
.moreover , compared to printed literature , web
documents reference each other more randomly .thus
is another reason that the text information is
incorporated in order to regulate the influence of the
documents .each web document is represented as a
vector in the vector space model of (IR) information
retrieval then computes the similarity between them
The higher the similarity , the more likely the two
documents deal with the same topic .For each
element of the vector we use the standard t f .X idf
weighting; t f ( I , j) X idf ( i ) . t f ( i , j ) is the term
frequency of the word in documents in documents j,
idf is the inverse Document Frequency
corresponding to word i , is defined such as :
idf ( i ) = log (no. of total docs) / No. of docs
containing word i )
Co–citation (C) is another metric to measure the
relevance of two web documents. If there are many
documents pointing to both of them , then these two
documents are likely to address a similar issue .the
Co – citation pattern is used by H .the Co – citation
C ij of the documents i and j is the number of the
web documents pointing to both i and j
.Incorporating the above information in to the
similarity metric , we form the weight
Matrix of the graph;
A⊗S C
W = α + (1 – α)
||A ⊗ S || 2 || C || 2
Where ʿαʾ is weightage ranging from 0 to1.
(C) Web documents clustering based on their
structure
Based on some information the assumption that
links that share layout and presentation properties
usually point to pages that are structurally similar,
are made the set are layout and presentation
properties associated with the links of a page can be
used to characterize the structure of the page itself. In
other words, whenever two or more pages contain
links that share the same layout and presentation
properties. There are several techniques that can be
used to detect layout structure in HTML documents.
Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24
www.ijera.com 24|P a g e
Tables and frames are two components that are
commonly used to organize the contents of web -
documents. Thus, a table or frame detection
technique is required to give a view of web page
layout for an analyzing process .Many developers
prefer to use tables rather than frames to design the
web page s, layout. Even though frames can be
provides added context and consistency during
navigation , they have several serious problems that
are related to screen real estate , page model ,the
speed of the display and the complexity of web
design [4 ] . Therefore, several researchers have
reported their work in table mining due to the
efficiency and the popularity of tables for web pages
layout structure [15]. A model to abstract structure
from a web site, based on the main idea that layout
and presentation properties associated with links can
characterize the structure of the page can be found at
[13].[13] gives a site model generation algorithm for
finding the structure and cluster them according to
the similarity . The model tries to find the schema of
the web site based on the analysis of the HTML code
of the web site .Based on the analysis page schemas,
page classes, and class links are obtained. The
distances between the web pages is calculated .The
distances between schemas is defined as the
normalized cardinality of the symmetric set
difference between the two schemas .namely, G i and
G j be the schemas of the groups i and j ;
Then such as:
| (G i –G j) U (G j – G i)|
Dist (G i, G j) =
| (G i U G j) |
II. CONCLUSION
Both of these method were implemented and the
initial phase of result is obtained. In initial phase,
pages about 150 web pages are clustered. The
method based on the hyperlink structure, textual
information and Co – citation matrix, is .method 1,
gave us a better result s compared to second method
.The first method not only cluster s the web page s
according to content, but also their related topic. The
second method cluster only based on the HTML
schema, which is usually found in a organization or
pages giving similar type of information. In the
second type, web pages related to event like sports,
news etc .have the same page structure. In the first
method, the calculation for the clusters are
complicated compared to the second one. So , when
pages from a company or organization or pages for
particular events , which usually have the similar
structure , are needed to be clustered ,the second
method recommended , whereas , if pages along to a
particular is needed ,the first method gives us the
correct result .
REFERENCES
[1.] L.Ronsenfeld, and P. Morville,
ʽʽInformation Architecture for the World
Wide Webʼʼ, O, reilly, Sebastopol, Canada,
1998.
[2.] Yue Xu, “hybrid clustering with
Application to web Miningʼʼ, IEEE
(2005).
[3.] M. Hurst, ʽʽLayout and Language: ʽʽ
Challenges for Table Understanding on the
Web, ʾProceeding of the First International
workshop on the Web Documents Analysis
WDA (2001), Seattle, Washington, USA
.2002.
[4.] Xiaofeng He, Hongyuan Zha , Chris H.Q.
Ding , Horst D. simon , ʽʽWeb document
clustering hyperlink structure ,ʼʼ
Computational Statistics and Data Analysis
41( 2002) 19 – 45 .
[5.] Yi –Hong Doing, ʽʽA Novel Competitive
Neural Network for web miningʼʼ,
Proceedings of the Third International
Conferences on Machine Learning and
Cybernetics, shanghai, August 2004.
[6.] H .H .Chen, C.T. Shih and H.T. Jin,
ʽʽMining Tables from large Scale HTML
Textsʼʼ, the 18th
International Conference,
Saarbrucken, Germany, 2000.
[7.] Valter crescenzi , Paolo merialdo ,Paolo
Missier, Clustering Web Pages based on
their structure , data and Knowledge
Engineering 54 (2005 ) 279 – 299 .

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Baroclinic Channel Model in Fluid Dynamics

  • 1. Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24 www.ijera.com 22|P a g e Baroclinic Channel Model in Fluid Dynamics Kharatti Lal Deptt .of (Applied Science) – Mathematics Govt. Millennium Polytechnic College Chamba Himachal Pradesh - 176310 ABSTRACT A complex flow structure is studied using a 2-dimentional baroclinic channel model Unsteady Navier - stokes equation coupled with equation of thermal energy ,salinity and the equation of state are implemented .System closure is achieved through a modified Prandtl, s mixing length formulation of turbulence dissipation The model is applied in a region where the fluid flow is effected by various forcing equation .In this case ,flow is estuarine region affected by diurnal tide and the fresh water inflow in to the estuary and a submerged structure is considered giving possible insight in to stress effects on submerged structure .the result show that in the time evolution of the vertical velocity along downstream edge changes sign from negative to positive .as the dike length increases the primary cell splits and flow becomes turbulent du e to the non-linear effect caused by the dike .these are found to agree favourably with result published in the open literature. Key Words: Submerged dike, estuarine dynamics, Baroclinic numerical model, Turbulent dike. I. INTRODUCTION The two – dimensional baroclinic model predicts flow in a vertical plane with horizontal and vertical momentum equation .from the economic point of view the estuarine dynamics has gained increasing importance .The exploration for oil in this region has brought about an interesting feature of interaction of the water waves and the estuarine structure .the physical model s are not viable due to economic and man –hours point of view and the analytical model s do not gives an exact solution to the problems .Steady of flow characteristics using a numerical model has become an important tool for gaining insight into the dynamical stability. Accurate predictions of wave transformation due to submerged dike could be achieved by non –linear shallow water waves theories [1] using the boundary integral equation method. A similar approach is applied in Ref. [2] for transformation of periodic wave crossing over the dike. The important and main characterize this interaction is the generation of the vortex in the flow field around the marine objects due to wave body interaction and the subsequent scouring effects .Numerical modeling is confined to mainly the solitary wave transformation on crossing the submerged dike and related corresponding flow fields [ 3, 4] with some observational studies [5] the present study extends the methodology to the case of a complex resultant forcing of fresh water flow and the semi – diurnal tide existing in estuarine .turbulence changes are accounted as a function of vertical density satisfaction as salinity and thermal energy variation are substantial along the estuary. The model uses a free surface boundary condition to bring in a realistic semi diurnal – tidal forcing on the down- stream Boundary condition are based on the specification of condition on an incoming characteristic , disposable parameters are used to represent the forcing function which consists of strength of the fresh water and the amplitude of the semi – diurnal tide .Notable feature is the use of upstream scheme for the horizontal advection term in the transport equation s .Numerical investigations delve into flow characteristic in the vertical, the flow evolution and a possible insight into scouring effects at the bottom . Mining and web structure mining, Clustering, Classification and finding. Association Rule are the techniques used for almost all data mining and web mining task s. other techniques are sequential patterns, regression, Deviation detection and other statistical and machine leaving method . The Process of identification natural grouping: This paper focuses on clustering, which is the processing s of objects Most of the existing methods for document clustering are based on the either probabilistic m, methods, and distances based methods such as k-means analysis, hierarchical clustering [10] and nearest neighbor clustering [6] use a selected set of words appearing in a different documents as features The k- algorithmic is a straight forward method s for clustering data [6] .The basic procedure of k-means method typically. begins with the assigning each data items to a cluster .The number of cluster are say, k is provided a priori by the user .Next the cluster center s are calculated by the centroid of the data item in each cluster . After that a new assignment of the data item s to cluster is computed by assigning them to their closest center according to some distance measure. Different distance measure or web matrices are well explained RESEARCH ARTICLE OPEN ACCESS
  • 2. Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24 www.ijera.com 23|P a g e in [1] .Web matrices are divided into six categories based on its applications. The second approach user the similarity based on structure of the web page. There are several techniques that can be used to detect lay out structure in HTML documents. Tables are frames are two components that are commonly used to organize the contents of web documents .Thus a tables or frame detection technique is required to give a view of web page layout for an analyzing process. Many developers prefer to use tables rather than frames to design the prefer web pages layout. Even though frames can provide added context and consistency during navigation, they have several serious problems that are related to screen real estate , page model, the speed of the display and the complexity of the web design [8] .Therefore , several researchers have reported their work in table mining due to the efficiency and the popularity of tables for web page layout structure [11, 12] many other approaches such as hybrid, partition based Clustering, based on documents structure [9,10] are also develop by the researcher s using one or other combination of basic clustering techniques mentioned above. The other approaches, which use Neural Networks [7]. and soft computing techniques [6] are also in their way to success .more about the advancement in web mining can be found in [5] (A) CLUSTERING METHOD Web documents clustering using hyperlink structures :The World Wide Web has a rich structure :it contains both textual web documents and the hyper links that connect them The web documents are hyperlink s between them from a directed graph in which the web documents can be views as vertices and the hyperlinks as the directed edges .Algorithms have been developed utilizing this directed graph to extract information contained in a collection of hyperlinked web documents Kleinberg proposed the HITS algorithm based purely on hyperlink information to retrieve the most relevant information :Authority and hub documents may for a user query ( Kleinberg (1998)). However, if the hypertext collection consists of several topics authority and hub documents may also cover the most popular topics and leave out the less popular ones .One way to remedy this situation is to first partition the hypertext collection into topical groups, and present the search results as a list of topics to the user. This leads to the need to cluster web documents based on both the textual and hyperlink information . In this model ,the similarity metric used for clustering web page is based on hyperlink structure , Textual information and co – citation patterns The link information is obtained directly from the link graph .given a link graph G = (V,E),which is directed , we define the matrix A to be: Ai j = { 1 if (i, j ) ε E or ( j , e) ε E { i f : 0 , otherwise A is the adjacency matrix of the link graph where directionality of the hyperlink is ignored. Link structure alone provides us with rich information on the topics of the documents collection. (B) The Factor of the Textual Information: The next factor included is textual information (S ) of the web page .The textual information can be included to better cluster the web documents .moreover , compared to printed literature , web documents reference each other more randomly .thus is another reason that the text information is incorporated in order to regulate the influence of the documents .each web document is represented as a vector in the vector space model of (IR) information retrieval then computes the similarity between them The higher the similarity , the more likely the two documents deal with the same topic .For each element of the vector we use the standard t f .X idf weighting; t f ( I , j) X idf ( i ) . t f ( i , j ) is the term frequency of the word in documents in documents j, idf is the inverse Document Frequency corresponding to word i , is defined such as : idf ( i ) = log (no. of total docs) / No. of docs containing word i ) Co–citation (C) is another metric to measure the relevance of two web documents. If there are many documents pointing to both of them , then these two documents are likely to address a similar issue .the Co – citation pattern is used by H .the Co – citation C ij of the documents i and j is the number of the web documents pointing to both i and j .Incorporating the above information in to the similarity metric , we form the weight Matrix of the graph; A⊗S C W = α + (1 – α) ||A ⊗ S || 2 || C || 2 Where ʿαʾ is weightage ranging from 0 to1. (C) Web documents clustering based on their structure Based on some information the assumption that links that share layout and presentation properties usually point to pages that are structurally similar, are made the set are layout and presentation properties associated with the links of a page can be used to characterize the structure of the page itself. In other words, whenever two or more pages contain links that share the same layout and presentation properties. There are several techniques that can be used to detect layout structure in HTML documents.
  • 3. Kharatti Lal et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 5) February 2016, pp.22-24 www.ijera.com 24|P a g e Tables and frames are two components that are commonly used to organize the contents of web - documents. Thus, a table or frame detection technique is required to give a view of web page layout for an analyzing process .Many developers prefer to use tables rather than frames to design the web page s, layout. Even though frames can be provides added context and consistency during navigation , they have several serious problems that are related to screen real estate , page model ,the speed of the display and the complexity of web design [4 ] . Therefore, several researchers have reported their work in table mining due to the efficiency and the popularity of tables for web pages layout structure [15]. A model to abstract structure from a web site, based on the main idea that layout and presentation properties associated with links can characterize the structure of the page can be found at [13].[13] gives a site model generation algorithm for finding the structure and cluster them according to the similarity . The model tries to find the schema of the web site based on the analysis of the HTML code of the web site .Based on the analysis page schemas, page classes, and class links are obtained. The distances between the web pages is calculated .The distances between schemas is defined as the normalized cardinality of the symmetric set difference between the two schemas .namely, G i and G j be the schemas of the groups i and j ; Then such as: | (G i –G j) U (G j – G i)| Dist (G i, G j) = | (G i U G j) | II. CONCLUSION Both of these method were implemented and the initial phase of result is obtained. In initial phase, pages about 150 web pages are clustered. The method based on the hyperlink structure, textual information and Co – citation matrix, is .method 1, gave us a better result s compared to second method .The first method not only cluster s the web page s according to content, but also their related topic. The second method cluster only based on the HTML schema, which is usually found in a organization or pages giving similar type of information. In the second type, web pages related to event like sports, news etc .have the same page structure. In the first method, the calculation for the clusters are complicated compared to the second one. So , when pages from a company or organization or pages for particular events , which usually have the similar structure , are needed to be clustered ,the second method recommended , whereas , if pages along to a particular is needed ,the first method gives us the correct result . REFERENCES [1.] L.Ronsenfeld, and P. Morville, ʽʽInformation Architecture for the World Wide Webʼʼ, O, reilly, Sebastopol, Canada, 1998. [2.] Yue Xu, “hybrid clustering with Application to web Miningʼʼ, IEEE (2005). [3.] M. Hurst, ʽʽLayout and Language: ʽʽ Challenges for Table Understanding on the Web, ʾProceeding of the First International workshop on the Web Documents Analysis WDA (2001), Seattle, Washington, USA .2002. [4.] Xiaofeng He, Hongyuan Zha , Chris H.Q. Ding , Horst D. simon , ʽʽWeb document clustering hyperlink structure ,ʼʼ Computational Statistics and Data Analysis 41( 2002) 19 – 45 . [5.] Yi –Hong Doing, ʽʽA Novel Competitive Neural Network for web miningʼʼ, Proceedings of the Third International Conferences on Machine Learning and Cybernetics, shanghai, August 2004. [6.] H .H .Chen, C.T. Shih and H.T. Jin, ʽʽMining Tables from large Scale HTML Textsʼʼ, the 18th International Conference, Saarbrucken, Germany, 2000. [7.] Valter crescenzi , Paolo merialdo ,Paolo Missier, Clustering Web Pages based on their structure , data and Knowledge Engineering 54 (2005 ) 279 – 299 .