Projection methods for incompressible flow problems with WENO finite difference schemes
Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this en...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
de Frutos, Javier [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
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| Schlagwörter: |
Non-incremental projection methods Finite difference WENO schemes |
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| Umfang: |
19 |
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| Übergeordnetes Werk: |
Enthalten in: Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty - Miranda, Regina ELSEVIER, 2023, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:309 ; year:2016 ; day:15 ; month:03 ; pages:368-386 ; extent:19 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jcp.2015.12.041 |
|---|
| Katalog-ID: |
ELV035601574 |
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| 520 | |a Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. | ||
| 520 | |a Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. | ||
| 650 | 7 | |a Non-incremental projection methods |2 Elsevier | |
| 650 | 7 | |a PSPG-type stabilization |2 Elsevier | |
| 650 | 7 | |a Finite difference WENO schemes |2 Elsevier | |
| 650 | 7 | |a Incremental projection methods |2 Elsevier | |
| 650 | 7 | |a Incompressible Navier–Stokes equations |2 Elsevier | |
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| 700 | 1 | |a Novo, Julia |4 oth | |
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10.1016/j.jcp.2015.12.041 doi GBVA2016022000007.pica (DE-627)ELV035601574 (ELSEVIER)S0021-9991(15)00860-8 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl de Frutos, Javier verfasserin aut Projection methods for incompressible flow problems with WENO finite difference schemes 2016transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Non-incremental projection methods Elsevier PSPG-type stabilization Elsevier Finite difference WENO schemes Elsevier Incremental projection methods Elsevier Incompressible Navier–Stokes equations Elsevier John, Volker oth Novo, Julia oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 https://doi.org/10.1016/j.jcp.2015.12.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 309 2016 15 0315 368-386 19 045F 530 |
| spelling |
10.1016/j.jcp.2015.12.041 doi GBVA2016022000007.pica (DE-627)ELV035601574 (ELSEVIER)S0021-9991(15)00860-8 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl de Frutos, Javier verfasserin aut Projection methods for incompressible flow problems with WENO finite difference schemes 2016transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Non-incremental projection methods Elsevier PSPG-type stabilization Elsevier Finite difference WENO schemes Elsevier Incremental projection methods Elsevier Incompressible Navier–Stokes equations Elsevier John, Volker oth Novo, Julia oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 https://doi.org/10.1016/j.jcp.2015.12.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 309 2016 15 0315 368-386 19 045F 530 |
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10.1016/j.jcp.2015.12.041 doi GBVA2016022000007.pica (DE-627)ELV035601574 (ELSEVIER)S0021-9991(15)00860-8 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl de Frutos, Javier verfasserin aut Projection methods for incompressible flow problems with WENO finite difference schemes 2016transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Non-incremental projection methods Elsevier PSPG-type stabilization Elsevier Finite difference WENO schemes Elsevier Incremental projection methods Elsevier Incompressible Navier–Stokes equations Elsevier John, Volker oth Novo, Julia oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 https://doi.org/10.1016/j.jcp.2015.12.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 309 2016 15 0315 368-386 19 045F 530 |
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10.1016/j.jcp.2015.12.041 doi GBVA2016022000007.pica (DE-627)ELV035601574 (ELSEVIER)S0021-9991(15)00860-8 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl de Frutos, Javier verfasserin aut Projection methods for incompressible flow problems with WENO finite difference schemes 2016transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Non-incremental projection methods Elsevier PSPG-type stabilization Elsevier Finite difference WENO schemes Elsevier Incremental projection methods Elsevier Incompressible Navier–Stokes equations Elsevier John, Volker oth Novo, Julia oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 https://doi.org/10.1016/j.jcp.2015.12.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 309 2016 15 0315 368-386 19 045F 530 |
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10.1016/j.jcp.2015.12.041 doi GBVA2016022000007.pica (DE-627)ELV035601574 (ELSEVIER)S0021-9991(15)00860-8 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl de Frutos, Javier verfasserin aut Projection methods for incompressible flow problems with WENO finite difference schemes 2016transfer abstract 19 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. Non-incremental projection methods Elsevier PSPG-type stabilization Elsevier Finite difference WENO schemes Elsevier Incremental projection methods Elsevier Incompressible Navier–Stokes equations Elsevier John, Volker oth Novo, Julia oth Enthalten in Elsevier Miranda, Regina ELSEVIER Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty 2023 Amsterdam (DE-627)ELV010178430 volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 https://doi.org/10.1016/j.jcp.2015.12.041 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 309 2016 15 0315 368-386 19 045F 530 |
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English |
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Enthalten in Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty Amsterdam volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 |
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Enthalten in Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty Amsterdam volume:309 year:2016 day:15 month:03 pages:368-386 extent:19 |
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Non-incremental projection methods PSPG-type stabilization Finite difference WENO schemes Incremental projection methods Incompressible Navier–Stokes equations |
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Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty |
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de Frutos, Javier @@aut@@ John, Volker @@oth@@ Novo, Julia @@oth@@ |
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Projection methods for incompressible flow problems with WENO finite difference schemes |
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Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. |
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Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. |
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Weighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convection–diffusion equations . This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several non-incremental and incremental projection methods for the incompressible Navier–Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov–Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious. |
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