Mathematical Model K-MODEL - Revision history

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2022-10-21T09:29:50Z

The LinkTitles extension automatically added links to existing pages (<a target="_blank" rel="nofollow noreferrer noopener" class="external free" href="https://github.com/bovender/LinkTitles">https://github.com/bovender/LinkTitles</a>).

imported>Lang Guenther: /* users (in alphabetical order) */ Vierfuss eliminiert

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users (in alphabetical order): Vierfuss eliminiert

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	* Gayer. G., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany;		* Gayer. G., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany;
	* Günther, H., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany;		* Günther, H., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany; (meanwhile retired)
	* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;
	* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.		* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.

imported>Lang Guenther: /* users (in alphabetical order) */ text modified

2011-05-25T12:39:45Z

users (in alphabetical order): text modified

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	==users (in alphabetical order)==		==users (in alphabetical order)==

	* Gayer. G., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ ~~Institut~~ für Material- und Küstenforschung], Geesthacht, Germany;		* Gayer. G., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany;
	* Günther, H., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ ~~Institut~~ für Material- und Küstenforschung], Geesthacht, Germany;		* Günther, H., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Zentrum für Material- und Küstenforschung], Geesthacht, Germany;
	* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;		* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;
	* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.		* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.

imported>Lang Guenther: /* users (in alphabetical order) */ nam of GKSS modified (text)

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users (in alphabetical order): nam of GKSS modified (text)

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	==users (in alphabetical order)==		==users (in alphabetical order)==

	* Gayer. G., [http://www.~~gkss~~.de/ GKSS ~~Forschungszentrum~~ Geesthacht], [http://www.~~gkss~~.de/institute/coastal_research/ Institut für Küstenforschung], Geesthacht, Germany;		* Gayer. G., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Institut für Material- und Küstenforschung], Geesthacht, Germany;
	* Günther, H., [http://www.~~gkss~~.de/ GKSS ~~Forschungszentrum~~ Geesthacht], [http://www.~~gkss~~.de/institute/coastal_research/ Institut für Küstenforschung], Geesthacht, Germany;		* Günther, H., [http://www.hzg.de/ GKSS Helmholtz-Zentrum Geesthacht], [http://www.hzg.de/institute/coastal_research/ Institut für Material- und Küstenforschung], Geesthacht, Germany;
	* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;		* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;
	* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.		* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.

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	#three-dimensional hydrodynamic and transport model [[UNTRIM]];		#three-dimensional hydrodynamic and transport model [[UNTRIM]];
	#sedimentological model SediMorph (see [[SEDIMORPH.DAT\|sedimorph.dat).		#sedimentological model SediMorph (see [[SEDIMORPH.DAT\|sedimorph.dat]]).

	The above mentioned sub-models can be used together with the k-model.		The above mentioned sub-models can be used together with the k-model.

imported>BAWiki 3: Created page with 'Category: Mathematical Models de:Mathematisches Verfahren K-MODELL ==short description== The mathematical model k-model is a spectral wave model with non-linear dissipa…'

2010-06-23T05:46:47Z

Created page with 'Category: Mathematical Models de:Mathematisches Verfahren K-MODELL ==short description== The mathematical model k-model is a spectral wave model with non-linear dissipa…'

New page

[[Category: Mathematical Models]]
[[de:Mathematisches Verfahren K-MODELL]]

==short description==

The mathematical model k-model is a spectral wave model with non-linear dissipation which was developed at [http://www.gkss.de/ GKSS Research Center (Geesthacht)]. The model can be used to compute the development, propagation and dissipation of waves, sea and swell in the ocean, coastal waters or estuaries. It uses a source function which describes dissipation by wave turbulence interaction. The use of action density in (k,Θ)-co-ordinates as a prognostic field in the model enables a convenient treatment of instationary systems, e.g. systems with tidal influence.

The k-model is able to work on unstructured orthogonal grids (UOG). The modelling domain is covered by a grid consisting of a set of non-overlapping convex polygons, usually either triangles or quadrilaterals. The grid is said to be an unstructured orthogonal grid if within each polygon a point (hereafter called a center) can be identified in such a way that the segment joining the center of two adjacent polygons and the side shared by the two polygons, have a non-empty intersection and are orthogonal to each other.

Areas with pronounced variations in bathymetry as well as current velocity do often occur in coastal water bodies. Due to the use of an unstructured grid concept these areas of strong variations may be discretized with sufficiently high resolution in order to arrive at a good quality for simulated results related to processes like shoaling or current refraction of waves.

==physical processes==

* conservation of wave action density (action density balance equation);
* advection of wave action density due to currents;
* shoaling of waves due to variation of water depth and/or current velocity;
* refraction of waves due to horizontal gradients of water depth and/or current velocity;
* wind forcing at the free surface;
* dissipation due to turbulent diffusion;
* dissipation due to bottom friction.

==computational results==

* integral wave parameters for waves, sea and swell:
:*significant wave height;
:*wave peak period;
:*wave mean period TM-1;
:*wave period TM1;
:*wave period TM2;
:*wave mean direction;
:*wave mean directional spread;
:*acceleration (due to radiation stress).
* two-dimensional spectra for waves, sea and swell:
:*frequency-direction wave spectrum.

==publications==

#Schneggenburger, C. (1997) : Shallow Water Wave Modelling with Nonlinear Dissipation, Deutsche Hydrographische Zeitschrift, 49, 431--444.
#Schneggenburger, C. (1998) : Spectral Wave Modelling with Nonlinear Dissipation, Dissertation, 117 Seiten, Bericht Nr. GKSS 98/E/42, [http://www.gkss.de/ GKSS-Forschungszentrum] Geesthacht, Germany.
#Schneggenburger, C., Günther, H. and Rosenthal, W. (1998) : Shallow Water Wave Modelling with Non-Linear Dissipation: Application to Small Scale Tidal Systems, in Proc. 5th Int. Workshop Wave Hindcasting and Forecasting, 242--255, Melbourne, FL, USA.
#Schneggenburger, C., Günther, H. and Rosenthal, W. (2000) : Shallow Water Wave Modelling with Non-Linear Dissipation: Validation and Applications in a Coastal Tidal Environment, Coastal Engineering, 41, 201--235.
#Werft, A. (2003) : Surface Wave Modelling in the Wadden Sea, Diplomarbeit, 83 Seiten, [http://www.icbm.de/ Institut für Chemie und Biologie des Meeres], [http://www.uni-oldenburg.de/ Carl-von-Ossietzky Universität] Oldenburg, Germany.

==validation document==

An independent validation document is currently not available for the k-model. In this context the reader is referred to the above mentioned literature, i.e. Schneggenburger (1998).

A PDF-version of this dissertation is freely available for download:

[http://www.baw.de/downloads/wasserbau/mathematische_verfahren/pdf/Schneggenburger_C_diss_1998.pdf Schneggenburger, C. (1998)]

==user interface description==

Currently not available.

==users (in alphabetical order)==

* Gayer. G., [http://www.gkss.de/ GKSS Forschungszentrum Geesthacht], [http://www.gkss.de/institute/coastal_research/ Institut für Küstenforschung], Geesthacht, Germany;
* Günther, H., [http://www.gkss.de/ GKSS Forschungszentrum Geesthacht], [http://www.gkss.de/institute/coastal_research/ Institut für Küstenforschung], Geesthacht, Germany;
* Vierfuß, U., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany;
* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.

In all of the above mentioned organizations, k-model is applied by a larger number of users, compared to the people listed. People mentioned are the main contact persons and speakers for their respective organization concerning all questions related to applications of the k-model and related developments.

==BAW-specific informations==

==grid generation==

An unstructured orthogonal grid for UNTRIM can be prepared using JANET grid generator software, made by [http://www.smileconsult.de/ SmileConsult]. For further informations related to the integration of JANET into BAW's programming environment please visit [[JANET|JANET program description]].

==simulation==

Actually the k-model can be used as a stand-alone postprocessor [[UNK]] as well as directly coupled to the three-dimensional mathematical model [[UNTRIM]] for hydrodynamics and transport processes.

==graphical presentation of computed results==

To display UNTRIM results currently several methods are used at BAW. The more important ones are,

* [[HVIEW2D]], for data available throughout the computational domain,
* [[VVIEW2D]] and/or [[LQ2PRO]], for data at longitudinal- and/or cross-sections, as well as
* [[GVIEW2D]], for data at specific locations.

==analyses of computational results==

A great variety of methods for analyses of computational results is available which enables the user to respond to many different questions.

==coupling to independent sub-models==

At BAW the k-model can be actually used in direct connexion to the following physical sub-models:

#three-dimensional hydrodynamic and transport model [[UNTRIM]];
#sedimentological model SediMorph (see [[SEDIMORPH.DAT|sedimorph.dat).

The above mentioned sub-models can be used together with the k-model.

----
back to [[Mathematical Models for Coastal Areas and Estuaries]]
----
[[Overview]]

← Older revision		Revision as of 09:29, 21 October 2022
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	==short description==		==short description==

	The mathematical model k-model is a spectral wave model with non-linear dissipation which was developed at [http://www.gkss.de/ GKSS Research Center (Geesthacht)]. The model can be used to compute the development, propagation and dissipation of waves, sea and swell in the ocean, coastal waters or estuaries. It uses a source function which describes dissipation by wave turbulence interaction. The use of action density in (k,Θ)-co-ordinates as a prognostic field in the model enables a convenient treatment of instationary systems, e.g. systems with tidal influence.		The mathematical [[model]] k-[[model]] is a spectral wave [[model]] with non-linear dissipation which was developed at [http://www.gkss.de/ GKSS Research Center (Geesthacht)]. The [[model]] can be used to compute the development, propagation and dissipation of waves, sea and [[swell]] in the [[ocean]], coastal [[waters]] or estuaries. It uses a source function which describes dissipation by wave turbulence interaction. The use of action density in (k,Θ)-co-ordinates as a prognostic field in the [[model]] enables a convenient treatment of instationary systems, e.g. systems with tidal influence.

	The k-model is able to work on unstructured orthogonal grids (UOG). The modelling domain is covered by a grid consisting of a set of non-overlapping convex polygons, usually either triangles or quadrilaterals. The grid is said to be an unstructured orthogonal grid if within each polygon a point (hereafter called a center) can be identified in such a way that the segment joining the center of two adjacent polygons and the side shared by the two polygons, have a non-empty intersection and are orthogonal to each other.		The k-[[model]] is able to work on unstructured orthogonal grids (UOG). The modelling domain is covered by a grid consisting of a set of non-overlapping convex polygons, usually either triangles or quadrilaterals. The grid is said to be an unstructured orthogonal grid if within each polygon a point (hereafter called a center) can be identified in such a way that the segment joining the center of two adjacent polygons and the side shared by the two polygons, have a non-empty intersection and are orthogonal to each other.

	Areas with pronounced variations in bathymetry as well as current velocity do often occur in coastal water bodies. Due to the use of an unstructured grid concept these areas of strong variations may be discretized with sufficiently high resolution in order to arrive at a good quality for simulated results related to processes like shoaling or current refraction of waves.		Areas with pronounced variations in bathymetry as well as current velocity do often occur in coastal water bodies. Due to the use of an unstructured grid concept these areas of strong variations may be discretized with sufficiently high resolution in order to arrive at a good quality for simulated results related to processes like [[shoaling]] or current refraction of waves.

	==physical processes==		==physical processes==
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	* conservation of wave action density (action density balance equation);		* conservation of wave action density (action density balance equation);
	* advection of wave action density due to currents;		* advection of wave action density due to currents;
	* shoaling of waves due to variation of water depth and/or current velocity;		* [[shoaling]] of waves due to variation of [[water depth]] and/or current velocity;
	* refraction of waves due to horizontal gradients of water depth and/or current velocity;		* refraction of waves due to horizontal gradients of [[water depth]] and/or current velocity;
	* wind forcing at the free surface;		* wind forcing at the free surface;
	* dissipation due to turbulent diffusion;		* dissipation due to turbulent diffusion;
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	==computational results==		==computational results==

	* integral wave parameters for waves, sea and swell:		* integral wave parameters for waves, sea and [[swell]]:
	:*significant wave height;		:*significant wave height;
	:*wave peak period;		:*wave peak period;
Line 31:		Line 31:
	:*wave mean directional spread;		:*wave mean directional spread;
	:*acceleration (due to radiation stress).		:*acceleration (due to radiation stress).
	* two-dimensional spectra for waves, sea and swell:		* two-dimensional spectra for waves, sea and [[swell]]:
	:*frequency-direction wave spectrum.		:*frequency-direction wave spectrum.

	==publications==		==publications==

	#Schneggenburger, C. (1997) : Shallow Water Wave Modelling with Nonlinear Dissipation, Deutsche Hydrographische Zeitschrift, 49, 431--444.		#Schneggenburger, C. (1997) : [[Shallow water\|Shallow Water]] Wave Modelling with Nonlinear Dissipation, Deutsche Hydrographische Zeitschrift, 49, 431--444.
	#Schneggenburger, C. (1998) : Spectral Wave Modelling with Nonlinear Dissipation, Dissertation, 117 Seiten, Bericht Nr. GKSS 98/E/42, [http://www.gkss.de/ GKSS-Forschungszentrum] Geesthacht, Germany.		#Schneggenburger, C. (1998) : Spectral Wave Modelling with Nonlinear Dissipation, Dissertation, 117 Seiten, Bericht Nr. GKSS 98/E/42, [http://www.gkss.de/ GKSS-Forschungszentrum] Geesthacht, Germany.
	#Schneggenburger, C., Günther, H. and Rosenthal, W. (1998) : Shallow Water Wave Modelling with Non-Linear Dissipation: Application to Small Scale Tidal Systems, in Proc. 5th Int. Workshop Wave Hindcasting and Forecasting, 242--255, Melbourne, FL, USA.		#Schneggenburger, C., Günther, H. and Rosenthal, W. (1998) : [[Shallow water\|Shallow Water]] Wave Modelling with Non-Linear Dissipation: Application to Small Scale Tidal Systems, in Proc. 5th Int. Workshop Wave Hindcasting and Forecasting, 242--255, Melbourne, FL, USA.
	#Schneggenburger, C., Günther, H. and Rosenthal, W. (2000) : Shallow Water Wave Modelling with Non-Linear Dissipation: Validation and Applications in a Coastal Tidal Environment, Coastal Engineering, 41, 201--235.		#Schneggenburger, C., Günther, H. and Rosenthal, W. (2000) : [[Shallow water\|Shallow Water]] Wave Modelling with Non-Linear Dissipation: Validation and Applications in a Coastal Tidal Environment, Coastal Engineering, 41, 201--235.
	#Werft, A. (2003) : Surface Wave Modelling in the Wadden Sea, Diplomarbeit, 83 Seiten, [http://www.icbm.de/ Institut für Chemie und Biologie des Meeres], [http://www.uni-oldenburg.de/ Carl-von-Ossietzky Universität] Oldenburg, Germany.		#Werft, A. (2003) : Surface Wave Modelling in the Wadden Sea, Diplomarbeit, 83 Seiten, [http://www.icbm.de/ Institut für Chemie und Biologie des Meeres], [http://www.uni-oldenburg.de/ Carl-von-Ossietzky Universität] Oldenburg, Germany.

	==validation document==		==validation document==

	An independent validation document is currently not available for the k-model. In this context the reader is referred to the above mentioned literature, i.e. Schneggenburger (1998).		An independent validation document is currently not available for the k-[[model]]. In this context the reader is referred to the above mentioned literature, i.e. Schneggenburger (1998).

	A PDF-version of this dissertation is freely available for download:		A PDF-version of this dissertation is freely available for download:
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	* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.		* Winkel, N., [http://www.baw.de/de/index.php.html Bundesanstalt für Wasserbau], [http://www.baw.de/de/kontakt/index.html Dienststelle Hamburg - Wasserbau im Küstenbereich], Hamburg, Germany.

	In all of the above mentioned organizations, k-model is applied by a larger number of users, compared to the people listed. People mentioned are the main contact persons and speakers for their respective organization concerning all questions related to applications of the k-model and related developments.		In all of the above mentioned organizations, k-[[model]] is applied by a larger number of users, compared to the people listed. People mentioned are the main contact persons and speakers for their respective organization concerning all questions related to applications of the k-[[model]] and related developments.

	==BAW-specific informations==		==BAW-specific informations==
Line 66:		Line 66:
	==grid generation==		==grid generation==

	An unstructured orthogonal grid for UNTRIM can be prepared using JANET grid generator software, made by [http://www.smileconsult.de/ SmileConsult]. For further informations related to the integration of JANET into BAW's programming environment please visit [[JANET\|JANET program description]].		An unstructured orthogonal grid for [[UNTRIM]] can be prepared using [[JANET]] grid generator software, made by [http://www.smileconsult.de/ SmileConsult]. For further informations related to the integration of [[JANET]] into BAW's programming environment please visit [[JANET\|JANET program description]].

	==simulation==		==simulation==

	Actually the k-model can be used as a stand-alone postprocessor [[UNK]] as well as directly coupled to the three-dimensional mathematical model [[UNTRIM]] for hydrodynamics and transport processes.		Actually the k-[[model]] can be used as a stand-alone postprocessor [[UNK]] as well as directly coupled to the three-dimensional mathematical [[model]] [[UNTRIM]] for hydrodynamics and transport processes.

	==graphical presentation of computed results==		==graphical presentation of computed results==

	To display UNTRIM results currently several methods are used at BAW. The more important ones are,		To display [[UNTRIM]] results currently several methods are used at BAW. The more important ones are,

	* [[HVIEW2D]], for data available throughout the computational domain,		* [[HVIEW2D]], for data available throughout the computational domain,
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	==coupling to independent sub-models==		==coupling to independent sub-models==

	At BAW the k-model can be actually used in direct connexion to the following physical sub-models:		At BAW the k-[[model]] can be actually used in direct connexion to the following physical sub-models:

	#three-dimensional hydrodynamic and transport model [[UNTRIM]];		#three-dimensional hydrodynamic and transport [[model]] [[UNTRIM]];
	#sedimentological model SediMorph (see [[SEDIMORPH.DAT\|sedimorph.dat]]).		#sedimentological [[model]] SediMorph (see [[SEDIMORPH.DAT\|sedimorph.dat]]).

	The above mentioned sub-models can be used together with the k-model.		The above mentioned sub-models can be used together with the k-[[model]].

	----		----