A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field
The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in differ...
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| Autor*in: |
Xiao, Tianbai [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of computational physics - Amsterdam : Elsevier, 1966, 332(2017), Seite 475-491 |
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| Übergeordnetes Werk: |
volume:332 ; year:2017 ; pages:475-491 |
| Links: |
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| DOI / URN: |
10.1016/j.jcp.2016.12.022 |
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| 520 | |a The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. | ||
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10.1016/j.jcp.2016.12.022 doi PQ20170721 (DE-627)OLC1992140014 (DE-599)GBVOLC1992140014 (PRQ)a1403-800a43cf4df3475ed08a59f8d12b2939565ee548e625b3b4394b6365805d85a60 (KEY)0034221120170000332000000475wellbalancedunifiedgaskineticschemeformultiscalefl DE-627 ger DE-627 rakwb eng 530 510 000 DE-600 Xiao, Tianbai verfasserin aut A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. Physics Computational Physics Cai, Qingdong oth Xu, Kun oth Enthalten in Journal of computational physics Amsterdam : Elsevier, 1966 332(2017), Seite 475-491 (DE-627)129359084 (DE-600)160508-2 (DE-576)014731401 0021-9991 nnns volume:332 year:2017 pages:475-491 http://dx.doi.org/10.1016/j.jcp.2016.12.022 Volltext http://arxiv.org/abs/1608.08730 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_70 AR 332 2017 475-491 |
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10.1016/j.jcp.2016.12.022 doi PQ20170721 (DE-627)OLC1992140014 (DE-599)GBVOLC1992140014 (PRQ)a1403-800a43cf4df3475ed08a59f8d12b2939565ee548e625b3b4394b6365805d85a60 (KEY)0034221120170000332000000475wellbalancedunifiedgaskineticschemeformultiscalefl DE-627 ger DE-627 rakwb eng 530 510 000 DE-600 Xiao, Tianbai verfasserin aut A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. Physics Computational Physics Cai, Qingdong oth Xu, Kun oth Enthalten in Journal of computational physics Amsterdam : Elsevier, 1966 332(2017), Seite 475-491 (DE-627)129359084 (DE-600)160508-2 (DE-576)014731401 0021-9991 nnns volume:332 year:2017 pages:475-491 http://dx.doi.org/10.1016/j.jcp.2016.12.022 Volltext http://arxiv.org/abs/1608.08730 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_70 AR 332 2017 475-491 |
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10.1016/j.jcp.2016.12.022 doi PQ20170721 (DE-627)OLC1992140014 (DE-599)GBVOLC1992140014 (PRQ)a1403-800a43cf4df3475ed08a59f8d12b2939565ee548e625b3b4394b6365805d85a60 (KEY)0034221120170000332000000475wellbalancedunifiedgaskineticschemeformultiscalefl DE-627 ger DE-627 rakwb eng 530 510 000 DE-600 Xiao, Tianbai verfasserin aut A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. Physics Computational Physics Cai, Qingdong oth Xu, Kun oth Enthalten in Journal of computational physics Amsterdam : Elsevier, 1966 332(2017), Seite 475-491 (DE-627)129359084 (DE-600)160508-2 (DE-576)014731401 0021-9991 nnns volume:332 year:2017 pages:475-491 http://dx.doi.org/10.1016/j.jcp.2016.12.022 Volltext http://arxiv.org/abs/1608.08730 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_70 AR 332 2017 475-491 |
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10.1016/j.jcp.2016.12.022 doi PQ20170721 (DE-627)OLC1992140014 (DE-599)GBVOLC1992140014 (PRQ)a1403-800a43cf4df3475ed08a59f8d12b2939565ee548e625b3b4394b6365805d85a60 (KEY)0034221120170000332000000475wellbalancedunifiedgaskineticschemeformultiscalefl DE-627 ger DE-627 rakwb eng 530 510 000 DE-600 Xiao, Tianbai verfasserin aut A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. Physics Computational Physics Cai, Qingdong oth Xu, Kun oth Enthalten in Journal of computational physics Amsterdam : Elsevier, 1966 332(2017), Seite 475-491 (DE-627)129359084 (DE-600)160508-2 (DE-576)014731401 0021-9991 nnns volume:332 year:2017 pages:475-491 http://dx.doi.org/10.1016/j.jcp.2016.12.022 Volltext http://arxiv.org/abs/1608.08730 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_70 AR 332 2017 475-491 |
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10.1016/j.jcp.2016.12.022 doi PQ20170721 (DE-627)OLC1992140014 (DE-599)GBVOLC1992140014 (PRQ)a1403-800a43cf4df3475ed08a59f8d12b2939565ee548e625b3b4394b6365805d85a60 (KEY)0034221120170000332000000475wellbalancedunifiedgaskineticschemeformultiscalefl DE-627 ger DE-627 rakwb eng 530 510 000 DE-600 Xiao, Tianbai verfasserin aut A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. Physics Computational Physics Cai, Qingdong oth Xu, Kun oth Enthalten in Journal of computational physics Amsterdam : Elsevier, 1966 332(2017), Seite 475-491 (DE-627)129359084 (DE-600)160508-2 (DE-576)014731401 0021-9991 nnns volume:332 year:2017 pages:475-491 http://dx.doi.org/10.1016/j.jcp.2016.12.022 Volltext http://arxiv.org/abs/1608.08730 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_70 AR 332 2017 475-491 |
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A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field |
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A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field |
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Xiao, Tianbai |
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well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field |
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A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field |
| abstract |
The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. |
| abstractGer |
The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. |
| abstract_unstemmed |
The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to accurately capture the non-equilibrium physical effect in different regimes. In this paper, a well-balanced unified gas-kinetic scheme (UGKS) for all flow regimes under gravitational field will be developed, which can be used for the study of non-equilibrium gravitational gas system. The well-balanced scheme here is defined as a method to evolve an isolated gravitational system under any initial condition to an isothermal hydrostatic equilibrium state and to keep such a solution. To preserve such a property is important for a numerical scheme, which can be used for the study of slowly evolving gravitational system, such as the formation of star and galaxy. Based on the Boltzmann model with external forcing term, an analytic time evolving (or scale-dependent) solution is constructed to provide the corresponding dynamics in the cell size and time step scale, which is subsequently used in the construction of UGKS. As a result, with the varia- tion of the ratio between the numerical time step and local particle collision time, the UGKS is able to recover flow physics in different regimes and provides a continuum spectrum of gas dynamics. For the first time, the flow physics of a gravitational system in the transition regime can be studied using the UGKS, and the non-equilibrium phenomena in such a grav- itational system can be clearly identified. Many numerical examples will be used to validate the scheme. New physical observation, such as the correlation between the gravitational field and the heat flux in the transition regime, will be presented. The current method provides an indispensable tool for the study of non-equilibrium gravitational system. |
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A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field |
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http://dx.doi.org/10.1016/j.jcp.2016.12.022 http://arxiv.org/abs/1608.08730 |
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Cai, Qingdong Xu, Kun |
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