The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models
Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Carpio, J. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2011 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2011 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and computational fluid dynamics - Springer-Verlag, 1989, 26(2011), 1-4 vom: 21. Mai, Seite 225-243 |
|---|---|
| Übergeordnetes Werk: |
volume:26 ; year:2011 ; number:1-4 ; day:21 ; month:05 ; pages:225-243 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00162-011-0232-z |
|---|
| Katalog-ID: |
OLC2071164482 |
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| 520 | |a Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. | ||
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10.1007/s00162-011-0232-z doi (DE-627)OLC2071164482 (DE-He213)s00162-011-0232-z-p DE-627 ger DE-627 rakwb eng 530 620 VZ 510 530 VZ Carpio, J. verfasserin aut The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2011 Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. Black smokers Numerical simulation Porous media Statistical comparisons Semi-Lagrangian method Finite element method Braack, M. aut Enthalten in Theoretical and computational fluid dynamics Springer-Verlag, 1989 26(2011), 1-4 vom: 21. Mai, Seite 225-243 (DE-627)130799521 (DE-600)1007949-X (DE-576)023042370 0935-4964 nnns volume:26 year:2011 number:1-4 day:21 month:05 pages:225-243 https://doi.org/10.1007/s00162-011-0232-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4116 GBV_ILN_4277 AR 26 2011 1-4 21 05 225-243 |
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10.1007/s00162-011-0232-z doi (DE-627)OLC2071164482 (DE-He213)s00162-011-0232-z-p DE-627 ger DE-627 rakwb eng 530 620 VZ 510 530 VZ Carpio, J. verfasserin aut The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2011 Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. Black smokers Numerical simulation Porous media Statistical comparisons Semi-Lagrangian method Finite element method Braack, M. aut Enthalten in Theoretical and computational fluid dynamics Springer-Verlag, 1989 26(2011), 1-4 vom: 21. Mai, Seite 225-243 (DE-627)130799521 (DE-600)1007949-X (DE-576)023042370 0935-4964 nnns volume:26 year:2011 number:1-4 day:21 month:05 pages:225-243 https://doi.org/10.1007/s00162-011-0232-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4116 GBV_ILN_4277 AR 26 2011 1-4 21 05 225-243 |
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10.1007/s00162-011-0232-z doi (DE-627)OLC2071164482 (DE-He213)s00162-011-0232-z-p DE-627 ger DE-627 rakwb eng 530 620 VZ 510 530 VZ Carpio, J. verfasserin aut The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2011 Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. Black smokers Numerical simulation Porous media Statistical comparisons Semi-Lagrangian method Finite element method Braack, M. aut Enthalten in Theoretical and computational fluid dynamics Springer-Verlag, 1989 26(2011), 1-4 vom: 21. Mai, Seite 225-243 (DE-627)130799521 (DE-600)1007949-X (DE-576)023042370 0935-4964 nnns volume:26 year:2011 number:1-4 day:21 month:05 pages:225-243 https://doi.org/10.1007/s00162-011-0232-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4116 GBV_ILN_4277 AR 26 2011 1-4 21 05 225-243 |
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10.1007/s00162-011-0232-z doi (DE-627)OLC2071164482 (DE-He213)s00162-011-0232-z-p DE-627 ger DE-627 rakwb eng 530 620 VZ 510 530 VZ Carpio, J. verfasserin aut The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2011 Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. Black smokers Numerical simulation Porous media Statistical comparisons Semi-Lagrangian method Finite element method Braack, M. aut Enthalten in Theoretical and computational fluid dynamics Springer-Verlag, 1989 26(2011), 1-4 vom: 21. Mai, Seite 225-243 (DE-627)130799521 (DE-600)1007949-X (DE-576)023042370 0935-4964 nnns volume:26 year:2011 number:1-4 day:21 month:05 pages:225-243 https://doi.org/10.1007/s00162-011-0232-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4116 GBV_ILN_4277 AR 26 2011 1-4 21 05 225-243 |
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10.1007/s00162-011-0232-z doi (DE-627)OLC2071164482 (DE-He213)s00162-011-0232-z-p DE-627 ger DE-627 rakwb eng 530 620 VZ 510 530 VZ Carpio, J. verfasserin aut The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models 2011 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2011 Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. Black smokers Numerical simulation Porous media Statistical comparisons Semi-Lagrangian method Finite element method Braack, M. aut Enthalten in Theoretical and computational fluid dynamics Springer-Verlag, 1989 26(2011), 1-4 vom: 21. Mai, Seite 225-243 (DE-627)130799521 (DE-600)1007949-X (DE-576)023042370 0935-4964 nnns volume:26 year:2011 number:1-4 day:21 month:05 pages:225-243 https://doi.org/10.1007/s00162-011-0232-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4116 GBV_ILN_4277 AR 26 2011 1-4 21 05 225-243 |
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The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models |
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The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models |
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Carpio, J. |
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Theoretical and computational fluid dynamics |
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Carpio, J. Braack, M. |
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the effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models |
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The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models |
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Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. © Springer-Verlag 2011 |
| abstractGer |
Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. © Springer-Verlag 2011 |
| abstract_unstemmed |
Abstract This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solving the mathematical model of this system. In concrete, we consider two ways to treat the temperature equation of the model: a semi-Lagrangian formulation of the advective terms in combination with a Galerkin finite element method for the parabolic part of the equations and a stabilized finite element scheme. Both methods are very robust and accurate. However, due to physical instabilities in the system at high Rayleigh number, the effect of the numerical method is significant with regard to the temperature distribution at a certain time instant. The good news is that relevant statistical quantities remain relatively stable and coincide for the two numerical schemes. The agreement is larger in the case of a mathematical model with constant water properties. In the case of a model with nonlinear dependence of the water properties on the temperature and pressure, the agreement in the statistics is clearly less pronounced. Hence, the presented work accentuates the need for a strengthened validation of the compatibility between numerical scheme (accuracy/resolution) and complex (realistic/nonlinear) models. © Springer-Verlag 2011 |
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The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models |
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