A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes
An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is gua...
Ausführliche Beschreibung
Autor*in: |
Ngo, Long Cu [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017 |
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Rechteinformationen: |
Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: International journal for numerical methods in engineering - Chichester [u.a.] : Wiley, 1969, 110(2017), 10, Seite 947-971 |
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Übergeordnetes Werk: |
volume:110 ; year:2017 ; number:10 ; pages:947-971 |
Links: |
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DOI / URN: |
10.1002/nme.5442 |
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Katalog-ID: |
OLC1994558229 |
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520 | |a An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. | ||
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10.1002/nme.5442 doi PQ20171125 (DE-627)OLC1994558229 (DE-599)GBVOLC1994558229 (PRQ)p1675-89cbce927539bb82fe895eab270a0bbd0015534f533bd390423f07d94891283b3 (KEY)0065660720170000110001000947multileveladaptivemeshrefinementmethodforlevelsets DE-627 ger DE-627 rakwb eng 510 DE-600 50.03 bkl Ngo, Long Cu verfasserin aut A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations Choi, Hyoung Gwon oth Enthalten in International journal for numerical methods in engineering Chichester [u.a.] : Wiley, 1969 110(2017), 10, Seite 947-971 (DE-627)129601217 (DE-600)241381-4 (DE-576)015094812 0029-5981 nnns volume:110 year:2017 number:10 pages:947-971 http://dx.doi.org/10.1002/nme.5442 Volltext http://onlinelibrary.wiley.com/doi/10.1002/nme.5442/abstract https://search.proquest.com/docview/1895882691 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.03 AVZ AR 110 2017 10 947-971 |
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10.1002/nme.5442 doi PQ20171125 (DE-627)OLC1994558229 (DE-599)GBVOLC1994558229 (PRQ)p1675-89cbce927539bb82fe895eab270a0bbd0015534f533bd390423f07d94891283b3 (KEY)0065660720170000110001000947multileveladaptivemeshrefinementmethodforlevelsets DE-627 ger DE-627 rakwb eng 510 DE-600 50.03 bkl Ngo, Long Cu verfasserin aut A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations Choi, Hyoung Gwon oth Enthalten in International journal for numerical methods in engineering Chichester [u.a.] : Wiley, 1969 110(2017), 10, Seite 947-971 (DE-627)129601217 (DE-600)241381-4 (DE-576)015094812 0029-5981 nnns volume:110 year:2017 number:10 pages:947-971 http://dx.doi.org/10.1002/nme.5442 Volltext http://onlinelibrary.wiley.com/doi/10.1002/nme.5442/abstract https://search.proquest.com/docview/1895882691 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.03 AVZ AR 110 2017 10 947-971 |
allfields_unstemmed |
10.1002/nme.5442 doi PQ20171125 (DE-627)OLC1994558229 (DE-599)GBVOLC1994558229 (PRQ)p1675-89cbce927539bb82fe895eab270a0bbd0015534f533bd390423f07d94891283b3 (KEY)0065660720170000110001000947multileveladaptivemeshrefinementmethodforlevelsets DE-627 ger DE-627 rakwb eng 510 DE-600 50.03 bkl Ngo, Long Cu verfasserin aut A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations Choi, Hyoung Gwon oth Enthalten in International journal for numerical methods in engineering Chichester [u.a.] : Wiley, 1969 110(2017), 10, Seite 947-971 (DE-627)129601217 (DE-600)241381-4 (DE-576)015094812 0029-5981 nnns volume:110 year:2017 number:10 pages:947-971 http://dx.doi.org/10.1002/nme.5442 Volltext http://onlinelibrary.wiley.com/doi/10.1002/nme.5442/abstract https://search.proquest.com/docview/1895882691 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.03 AVZ AR 110 2017 10 947-971 |
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10.1002/nme.5442 doi PQ20171125 (DE-627)OLC1994558229 (DE-599)GBVOLC1994558229 (PRQ)p1675-89cbce927539bb82fe895eab270a0bbd0015534f533bd390423f07d94891283b3 (KEY)0065660720170000110001000947multileveladaptivemeshrefinementmethodforlevelsets DE-627 ger DE-627 rakwb eng 510 DE-600 50.03 bkl Ngo, Long Cu verfasserin aut A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations Choi, Hyoung Gwon oth Enthalten in International journal for numerical methods in engineering Chichester [u.a.] : Wiley, 1969 110(2017), 10, Seite 947-971 (DE-627)129601217 (DE-600)241381-4 (DE-576)015094812 0029-5981 nnns volume:110 year:2017 number:10 pages:947-971 http://dx.doi.org/10.1002/nme.5442 Volltext http://onlinelibrary.wiley.com/doi/10.1002/nme.5442/abstract https://search.proquest.com/docview/1895882691 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.03 AVZ AR 110 2017 10 947-971 |
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10.1002/nme.5442 doi PQ20171125 (DE-627)OLC1994558229 (DE-599)GBVOLC1994558229 (PRQ)p1675-89cbce927539bb82fe895eab270a0bbd0015534f533bd390423f07d94891283b3 (KEY)0065660720170000110001000947multileveladaptivemeshrefinementmethodforlevelsets DE-627 ger DE-627 rakwb eng 510 DE-600 50.03 bkl Ngo, Long Cu verfasserin aut A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. Nutzungsrecht: Copyright © 2016 John Wiley & Sons, Ltd. level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations Choi, Hyoung Gwon oth Enthalten in International journal for numerical methods in engineering Chichester [u.a.] : Wiley, 1969 110(2017), 10, Seite 947-971 (DE-627)129601217 (DE-600)241381-4 (DE-576)015094812 0029-5981 nnns volume:110 year:2017 number:10 pages:947-971 http://dx.doi.org/10.1002/nme.5442 Volltext http://onlinelibrary.wiley.com/doi/10.1002/nme.5442/abstract https://search.proquest.com/docview/1895882691 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 50.03 AVZ AR 110 2017 10 947-971 |
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Enthalten in International journal for numerical methods in engineering 110(2017), 10, Seite 947-971 volume:110 year:2017 number:10 pages:947-971 |
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author |
Ngo, Long Cu |
spellingShingle |
Ngo, Long Cu ddc 510 bkl 50.03 misc level set misc CFL condition misc multi‐level refinement misc incompressible flow misc finite element method misc adaptive mesh refinement misc Finite element method misc Navier-Stokes equations A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
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510 DE-600 50.03 bkl A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes level set CFL condition multi‐level refinement incompressible flow finite element method adaptive mesh refinement Finite element method Navier-Stokes equations |
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A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
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A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
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multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
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A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
abstract |
An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. |
abstractGer |
An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. |
abstract_unstemmed |
An adaptive mesh refinement (AMR) technique is proposed for level set simulations of incompressible multiphase flows. The present AMR technique is implemented for two‐dimensional/three‐dimensional unstructured meshes and extended to multi‐level refinement. Smooth variation of the element size is guaranteed near the interface region with the use of multi‐level refinement. A Courant–Friedrich–Lewy condition for zone adaption frequency is newly introduced to obtain a mass‐conservative solution of incompressible multiphase flows. Finite elements around the interface are dynamically refined using the classical element subdivision method. Accordingly, finite element method is employed to solve the problems governed by the incompressible Navier–Stokes equations, using the level set method for dynamically updated meshes. The accuracy of the adaptive solutions is found to be comparable with that of non‐adaptive solutions only if a similar mesh resolution near the interface is provided. Because of the substantial reduction in the total number of nodes, the adaptive simulations with two‐level refinement used to solve the incompressible Navier–Stokes equations with a free surface are about four times faster than the non‐adaptive ones. Further, the overhead of the present AMR procedure is found to be very small, as compared with the total CPU time for an adaptive simulation. Copyright © 2016 John Wiley & Sons, Ltd. |
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A multi‐level adaptive mesh refinement method for level set simulations of multiphase flow on unstructured meshes |
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