Class information for:
Level 1: APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22480 380 29.9 51%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
22480 1                   APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS 380

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 APPROXIMATE DECONVOLUTION authKW 1001341 5% 69% 18
2 NS ALPHA authKW 562488 2% 100% 7
3 SCOTT VOGELIUS ELEMENTS authKW 562488 2% 100% 7
4 DECONVOLUTION MODELS authKW 492175 2% 88% 7
5 TIME RELAXATION authKW 405113 3% 46% 11
6 APPROXIMATE DECONVOLUTION MODELS authKW 334813 1% 83% 5
7 ADAPTIVE DNS LES authKW 321422 1% 100% 4
8 ALPHA MODELS authKW 321422 1% 100% 4
9 ENSEMBLE CALCULATION authKW 321422 1% 100% 4
10 LAGRANGIAN AVERAGING authKW 321422 1% 100% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 7527 56% 0% 211
2 Mechanics 1948 25% 0% 96
3 Physics, Fluids & Plasmas 1514 16% 0% 60
4 Mathematics, Interdisciplinary Applications 1320 14% 0% 52
5 Physics, Mathematical 1105 16% 0% 59
6 Mathematics 884 22% 0% 83
7 Engineering, General 245 7% 0% 25
8 Computer Science, Interdisciplinary Applications 205 7% 0% 26
9 Physics, Multidisciplinary 38 6% 0% 24
10 Oceanography 5 1% 0% 5

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 10781 80355 0% 100% 1
2 AACS 80355 0% 100% 1
3 DICE4 80355 0% 100% 1
4 INTERIOR ENGN 80355 0% 100% 1
5 O MATEMAT IMECC 80355 0% 100% 1
6 PDES PLICAT 80355 0% 100% 1
7 SEZ MATEMAT DICATAM 80355 0% 100% 1
8 ANALYSIS NUMER 40177 0% 50% 1
9 FLUMINANCE TEAM 40177 0% 50% 1
10 CIVIL INFRASTRUCT ENVIRONM ENGN 38058 1% 16% 3

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 13373 4% 1% 15
2 JOURNAL OF MATHEMATICAL FLUID MECHANICS 11916 2% 2% 8
3 JOURNAL OF TURBULENCE 8446 2% 1% 9
4 COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 5391 1% 2% 3
5 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 4575 2% 1% 9
6 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 3127 5% 0% 18
7 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 3072 4% 0% 14
8 MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 2979 2% 0% 8
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2174 6% 0% 24
10 PHYSICA D-NONLINEAR PHENOMENA 2122 3% 0% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 APPROXIMATE DECONVOLUTION 1001341 5% 69% 18 Search APPROXIMATE+DECONVOLUTION Search APPROXIMATE+DECONVOLUTION
2 NS ALPHA 562488 2% 100% 7 Search NS+ALPHA Search NS+ALPHA
3 SCOTT VOGELIUS ELEMENTS 562488 2% 100% 7 Search SCOTT+VOGELIUS+ELEMENTS Search SCOTT+VOGELIUS+ELEMENTS
4 DECONVOLUTION MODELS 492175 2% 88% 7 Search DECONVOLUTION+MODELS Search DECONVOLUTION+MODELS
5 TIME RELAXATION 405113 3% 46% 11 Search TIME+RELAXATION Search TIME+RELAXATION
6 APPROXIMATE DECONVOLUTION MODELS 334813 1% 83% 5 Search APPROXIMATE+DECONVOLUTION+MODELS Search APPROXIMATE+DECONVOLUTION+MODELS
7 ADAPTIVE DNS LES 321422 1% 100% 4 Search ADAPTIVE+DNS+LES Search ADAPTIVE+DNS+LES
8 ALPHA MODELS 321422 1% 100% 4 Search ALPHA+MODELS Search ALPHA+MODELS
9 ENSEMBLE CALCULATION 321422 1% 100% 4 Search ENSEMBLE+CALCULATION Search ENSEMBLE+CALCULATION
10 LAGRANGIAN AVERAGING 321422 1% 100% 4 Search LAGRANGIAN+AVERAGING Search LAGRANGIAN+AVERAGING

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BOWERS, AL , KIM, TY , NEDA, M , REBHOLZ, LG , FRIED, E , (2013) THE LERAY-ALPHA BETA-DECONVOLUTION MODEL: ENERGY ANALYSIS AND NUMERICAL ALGORITHMS.APPLIED MATHEMATICAL MODELLING. VOL. 37. ISSUE 3. P. 1225 -1241 30 83% 1
2 DUNCA, AA , (2016) ON AN ENERGY INEQUALITY FOR THE APPROXIMATE DECONVOLUTION MODELS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 32. ISSUE . P. 294 -300 24 92% 0
3 REBHOLZ, LG , KIM, TY , BYON, YJ , (2017) ON AN ACCURATE ALPHA MODEL FOR COARSE MESH TURBULENT CHANNEL FLOW SIMULATION.APPLIED MATHEMATICAL MODELLING. VOL. 43. ISSUE . P. 139 -154 29 74% 0
4 KIM, TY , NEDA, M , REBHOLZ, LG , FRIED, E , (2011) A NUMERICAL STUDY OF THE NAVIER-STOKES-ALPHA BETA MODEL.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 200. ISSUE 41-44. P. 2891 -2902 28 85% 1
5 BERSELLI, LC , KIM, TY , REBHOLZ, LG , (2016) ANALYSIS OF A REDUCED-ORDER APPROXIMATE DECONVOLUTION MODEL AND ITS INTERPRETATION AS A NAVIER-STOKES-VOIGT REGULARIZATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. VOL. 21. ISSUE 4. P. 1027 -1050 22 85% 0
6 HOLST, M , LUNASIN, E , TSOGTGEREL, G , (2010) ANALYSIS OF A GENERAL FAMILY OF REGULARIZED NAVIER-STOKES AND MHD MODELS.JOURNAL OF NONLINEAR SCIENCE. VOL. 20. ISSUE 5. P. 523 -567 28 68% 16
7 LINSHIZ, JS , TITI, ES , (2010) ON THE CONVERGENCE RATE OF THE EULER-ALPHA, AN INVISCID SECOND-GRADE COMPLEX FLUID, MODEL TO THE EULER EQUATIONS.JOURNAL OF STATISTICAL PHYSICS. VOL. 138. ISSUE 1-3. P. 305 -332 29 63% 13
8 HINZ, DF , KIM, TY , RILEY, JJ , FRIED, E , (2013) A-PRIORI TESTING OF ALPHA REGULARISATION MODELS AS SUBGRID-SCALE CLOSURES FOR LARGE-EDDY SIMULATIONS.JOURNAL OF TURBULENCE. VOL. 14. ISSUE 6. P. 1-20 24 69% 2
9 ZHANG, T , SHEN, C , (2014) REGULARIZATION OF THE SHOCK WAVE SOLUTION TO THE RIEMANN PROBLEM FOR THE RELATIVISTIC BURGERS EQUATION.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 19 79% 0
10 KIM, TY , REBHOLZ, LG , FRIED, E , (2012) A DECONVOLUTION ENHANCEMENT OF THE NAVIER-STOKES-ALPHA BETA MODEL.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 231. ISSUE 11. P. 4015 -4027 22 69% 2

Classes with closest relation at Level 1


Rank Class id link
1 12337 TWO LEVEL METHOD//NAVIER STOKES EQUATIONS//TWO GRID METHOD
2 5094 LARGE EDDY SIMULATION//SUBGRID SCALE MODEL//LES
3 986 REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS
4 5511 CAMASSA HOLM EQUATION//PEAKON//DEGASPERIS PROCESI EQUATION
5 12140 MIXED FINITE ELEMENTS//CI2MA//INGN MATEMAT
6 19556 ROTATING TURBULENCE//MHD STUDIES//GUI LIN TANG
7 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS
8 15111 PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP
9 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
10 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY

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