An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Potsdam
Potsdam Institute für Climate Impact Research
2005
|
| Series: | PIK report
101 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 69 S. graph. Darst. |
Staff View
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| 100 | 1 | |a Dolaptchiev, Stamen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |c Stamen Dolaptchiev |
| 264 | 1 | |a Potsdam |b Potsdam Institute für Climate Impact Research |c 2005 | |
| 300 | |a VI, 69 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text |
Contents
Introduction
1
1
Tropical circulation
5
1.1
Observations
of the
tropical circulation
. 5
1.2
Convection and the large-scale flow.
7
1.3
The Hadley cell
. 8
1.4
Meridional transport of momentum
. 11
2
Multiple Scales Asymptotic Approach
15
2.1
Dimensionless governing equations
. 15
2.2
The distinguished limit
. 16
2.3
The Coriolis term and the equatorial /J-plane approximation
. 17
2.4
Expansion scheme
. 18
2.5
Derivation and results
. 20
2.6
The sub-planetary equatorial WTG regime
. 24
3
Source Terms
27
3.1
Radiative processes
. 27
3.2
Convection
. 29
3.2.1
Parameterization of Sg using water vapor budget
. 31
3.2.2
Constraint on the potential temperature source term
. 35
3.2.3
Static stability
. 36
3.3
The source terms Su, Sv
. 36
v
vi
CONTENTS
4
Analytical Solutions
39
4.1
The Stream function
. 39
4.2
The zonal wind
. 43
4.2.1
Zonal wind with zero vertical velocity
. 46
4.3
Potential temperature distribution
. 47
4.4
Hide's theorem for a jS-plane fluid
. 49
5
Numerical Solution
53
5.1
Upwind discretization
. 53
5.2
Stability study and convergence order
. 55
5.3
The zonal velocity
u
. 57
5.3.1
Vertical diffusion: Su
=
-pdz\&zu
. 58
5.3.2
Relaxation parameterization: 5U
=
—au
. 60
Summary
63
Bibliography
67 |
| adam_txt |
Contents
Introduction
1
1
Tropical circulation
5
1.1
Observations
of the
tropical circulation
. 5
1.2
Convection and the large-scale flow.
7
1.3
The Hadley cell
. 8
1.4
Meridional transport of momentum
. 11
2
Multiple Scales Asymptotic Approach
15
2.1
Dimensionless governing equations
. 15
2.2
The distinguished limit
. 16
2.3
The Coriolis term and the equatorial /J-plane approximation
. 17
2.4
Expansion scheme
. 18
2.5
Derivation and results
. 20
2.6
The sub-planetary equatorial WTG regime
. 24
3
Source Terms
27
3.1
Radiative processes
. 27
3.2
Convection
. 29
3.2.1
Parameterization of Sg using water vapor budget
. 31
3.2.2
Constraint on the potential temperature source term
. 35
3.2.3
Static stability
. 36
3.3
The source terms Su, Sv
. 36
v
vi
CONTENTS
4
Analytical Solutions
39
4.1
The Stream function
. 39
4.2
The zonal wind
. 43
4.2.1
Zonal wind with zero vertical velocity
. 46
4.3
Potential temperature distribution
. 47
4.4
Hide's theorem for a jS-plane fluid
. 49
5
Numerical Solution
53
5.1
Upwind discretization
. 53
5.2
Stability study and convergence order
. 55
5.3
The zonal velocity
u
. 57
5.3.1
Vertical diffusion: Su
=
-pdz\&zu
. 58
5.3.2
Relaxation parameterization: 5U
=
—au
. 60
Summary
63
Bibliography
67 |
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| geographic | Tropen (DE-588)4060997-2 gnd |
| geographic_facet | Tropen |
| id | DE-604.BV021532977 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:25:53Z |
| indexdate | 2024-07-20T05:45:22Z |
| institution | BVB |
| language | English |
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| physical | VI, 69 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Potsdam Institute für Climate Impact Research |
| record_format | marc |
| series | PIK report |
| series2 | PIK report |
| spelling | Dolaptchiev, Stamen Verfasser aut An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics Stamen Dolaptchiev Potsdam Potsdam Institute für Climate Impact Research 2005 VI, 69 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier PIK report 101 Diplomarbeit Freie Universität Berlin 2005 Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd rswk-swf Luftströmung (DE-588)4338131-5 gnd rswk-swf Tropen (DE-588)4060997-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Tropen (DE-588)4060997-2 g Luftströmung (DE-588)4338131-5 s Nichtlineares mathematisches Modell (DE-588)4127859-8 s b DE-604 PIK report 101 (DE-604)BV009745982 101 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014749296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dolaptchiev, Stamen An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics PIK report Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Luftströmung (DE-588)4338131-5 gnd |
| subject_GND | (DE-588)4127859-8 (DE-588)4338131-5 (DE-588)4060997-2 (DE-588)4113937-9 |
| title | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |
| title_auth | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |
| title_exact_search | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |
| title_exact_search_txtP | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |
| title_full | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics Stamen Dolaptchiev |
| title_fullStr | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics Stamen Dolaptchiev |
| title_full_unstemmed | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics Stamen Dolaptchiev |
| title_short | An asymptotic, nonlinear model for anisotropic, large scale flows in the tropics |
| title_sort | an asymptotic nonlinear model for anisotropic large scale flows in the tropics |
| topic | Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Luftströmung (DE-588)4338131-5 gnd |
| topic_facet | Nichtlineares mathematisches Modell Luftströmung Tropen Hochschulschrift |
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| volume_link | (DE-604)BV009745982 |
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