Directional artificial fluid properties for compressible large-eddy simulation
An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Olson, Britton J. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Umfang: |
14 |
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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 |
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| Übergeordnetes Werk: |
volume:246 ; year:2013 ; day:1 ; month:08 ; pages:207-220 ; extent:14 |
| Links: |
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| DOI / URN: |
10.1016/j.jcp.2013.03.026 |
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ELV027641201 |
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| 520 | |a An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. | ||
| 520 | |a An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. | ||
| 650 | 7 | |a Shock waves |2 Elsevier | |
| 650 | 7 | |a Shock capturing |2 Elsevier | |
| 650 | 7 | |a Large-eddy simulation |2 Elsevier | |
| 650 | 7 | |a Turbulent boundary layer |2 Elsevier | |
| 650 | 7 | |a Compressible flow |2 Elsevier | |
| 700 | 1 | |a Lele, Sanjiva K. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Miranda, Regina ELSEVIER |t Future-oriented repetitive thought, depressive symptoms, and suicide ideation severity: Role of future-event fluency and depressive predictive certainty |d 2023 |g Amsterdam |w (DE-627)ELV010178430 |
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10.1016/j.jcp.2013.03.026 doi GBVA2013021000027.pica (DE-627)ELV027641201 (ELSEVIER)S0021-9991(13)00204-0 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl Olson, Britton J. verfasserin aut Directional artificial fluid properties for compressible large-eddy simulation 2013transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. Shock waves Elsevier Shock capturing Elsevier Large-eddy simulation Elsevier Turbulent boundary layer Elsevier Compressible flow Elsevier Lele, Sanjiva K. 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:246 year:2013 day:1 month:08 pages:207-220 extent:14 https://doi.org/10.1016/j.jcp.2013.03.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 246 2013 1 0801 207-220 14 045F 530 |
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10.1016/j.jcp.2013.03.026 doi GBVA2013021000027.pica (DE-627)ELV027641201 (ELSEVIER)S0021-9991(13)00204-0 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl Olson, Britton J. verfasserin aut Directional artificial fluid properties for compressible large-eddy simulation 2013transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. Shock waves Elsevier Shock capturing Elsevier Large-eddy simulation Elsevier Turbulent boundary layer Elsevier Compressible flow Elsevier Lele, Sanjiva K. 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:246 year:2013 day:1 month:08 pages:207-220 extent:14 https://doi.org/10.1016/j.jcp.2013.03.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 246 2013 1 0801 207-220 14 045F 530 |
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10.1016/j.jcp.2013.03.026 doi GBVA2013021000027.pica (DE-627)ELV027641201 (ELSEVIER)S0021-9991(13)00204-0 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl Olson, Britton J. verfasserin aut Directional artificial fluid properties for compressible large-eddy simulation 2013transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. Shock waves Elsevier Shock capturing Elsevier Large-eddy simulation Elsevier Turbulent boundary layer Elsevier Compressible flow Elsevier Lele, Sanjiva K. 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:246 year:2013 day:1 month:08 pages:207-220 extent:14 https://doi.org/10.1016/j.jcp.2013.03.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 246 2013 1 0801 207-220 14 045F 530 |
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10.1016/j.jcp.2013.03.026 doi GBVA2013021000027.pica (DE-627)ELV027641201 (ELSEVIER)S0021-9991(13)00204-0 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl Olson, Britton J. verfasserin aut Directional artificial fluid properties for compressible large-eddy simulation 2013transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. Shock waves Elsevier Shock capturing Elsevier Large-eddy simulation Elsevier Turbulent boundary layer Elsevier Compressible flow Elsevier Lele, Sanjiva K. 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:246 year:2013 day:1 month:08 pages:207-220 extent:14 https://doi.org/10.1016/j.jcp.2013.03.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 246 2013 1 0801 207-220 14 045F 530 |
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10.1016/j.jcp.2013.03.026 doi GBVA2013021000027.pica (DE-627)ELV027641201 (ELSEVIER)S0021-9991(13)00204-0 DE-627 ger DE-627 rakwb eng 530 510 000 530 DE-600 510 DE-600 000 DE-600 610 VZ 44.91 bkl Olson, Britton J. verfasserin aut Directional artificial fluid properties for compressible large-eddy simulation 2013transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. Shock waves Elsevier Shock capturing Elsevier Large-eddy simulation Elsevier Turbulent boundary layer Elsevier Compressible flow Elsevier Lele, Sanjiva K. 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:246 year:2013 day:1 month:08 pages:207-220 extent:14 https://doi.org/10.1016/j.jcp.2013.03.026 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_24 GBV_ILN_90 44.91 Psychiatrie Psychopathologie VZ AR 246 2013 1 0801 207-220 14 045F 530 |
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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:246 year:2013 day:1 month:08 pages:207-220 extent:14 |
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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:246 year:2013 day:1 month:08 pages:207-220 extent:14 |
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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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directional artificial fluid properties for compressible large-eddy simulation |
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An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. |
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An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. |
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An improved methodology for large-eddy simulation (LES) for flows involving shock waves and turbulence is described. This approach provides better shock capturing and enhanced resolution of turbulence while preserving numerical stability on high aspect ratio (AR) grids. The proposed improvements are based on the LES approach which uses artificial fluid diffusivities (shear viscosity, bulk viscosity and thermal diffusivity) to damp the unresolved gradients of turbulence, shock waves and contact discontinuities, respectively. The scalar artificial viscosities are active only in under-resolved regions of the flow and added directly to the physical quantities. On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR. Our proposed method allows fluid diffusivities to be independently applied along each grid direction by forming directional quantities, which ensure the method is minimally dissipative. This alternative approach reduces the errors and numerical stiffness associated with over dissipation. Several test cases are presented which demonstrate the improved performance of this approach on high aspect ratio grids and the enhanced numerical stability. Brief results from LES of an over-expanded planar nozzle are given which demonstrate the method’s robustness on practical applications. |
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