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Unstructured lattice Boltzmann method in three dimensions
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| Zeitschriftentitel: | International Journal for Numerical Methods in Fluids |
|---|---|
| Personen und Körperschaften: | , , , |
| In: | International Journal for Numerical Methods in Fluids, 49, 2005, 6, S. 619-633 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
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| Schlagwörter: |
| author_facet |
Rossi, N. Ubertini, S. Bella, G. Succi, S. Rossi, N. Ubertini, S. Bella, G. Succi, S. |
|---|---|
| author |
Rossi, N. Ubertini, S. Bella, G. Succi, S. |
| spellingShingle |
Rossi, N. Ubertini, S. Bella, G. Succi, S. International Journal for Numerical Methods in Fluids Unstructured lattice Boltzmann method in three dimensions Applied Mathematics Computer Science Applications Mechanical Engineering Mechanics of Materials Computational Mechanics |
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rossi, n. |
| spelling |
Rossi, N. Ubertini, S. Bella, G. Succi, S. 0271-2091 1097-0363 Wiley Applied Mathematics Computer Science Applications Mechanical Engineering Mechanics of Materials Computational Mechanics http://dx.doi.org/10.1002/fld.1018 <jats:title>Abstract</jats:title><jats:p>Over the last decade, the lattice Boltzmann method (LBM) has evolved into a valuable alternative to continuum computational fluid dynamics (CFD) methods for the numerical simulation of several complex fluid‐dynamic problems. Recent advances in lattice Boltzmann research have considerably extended the capability of LBM to handle complex geometries. Among these, a particularly remarkable option is represented by cell‐vertex finite‐volume formulations which permit LBM to operate on fully unstructured grids. The two‐dimensional implementation of unstructured LBM, based on the use of triangular elements, has shown capability of tolerating significant grid distortions without suffering any appreciable numerical viscosity effects, to second‐order in the mesh size. In this work, we present the first three‐dimensional generalization of the unstructured lattice Boltzmann technique (ULBE as unstructured lattice Boltzmann equation), in which geometrical flexibility is achieved by coarse‐graining the lattice Boltzmann equation in differential form, using tetrahedrical grids. This 3D extension is demonstrated for the case of 3D pipe flow and moderate Reynolds numbers flow past a sphere. The results provide evidence that the ULBE has significant potential for the accurate calculation of flows in complex 3D geometries. Copyright © 2005 John Wiley & Sons, Ltd.</jats:p> Unstructured lattice Boltzmann method in three dimensions International Journal for Numerical Methods in Fluids |
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Unstructured lattice Boltzmann method in three dimensions |
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Unstructured lattice Boltzmann method in three dimensions |
| title_full |
Unstructured lattice Boltzmann method in three dimensions |
| title_fullStr |
Unstructured lattice Boltzmann method in three dimensions |
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Unstructured lattice Boltzmann method in three dimensions |
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Unstructured lattice Boltzmann method in three dimensions |
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unstructured lattice boltzmann method in three dimensions |
| topic |
Applied Mathematics Computer Science Applications Mechanical Engineering Mechanics of Materials Computational Mechanics |
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http://dx.doi.org/10.1002/fld.1018 |
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2005 |
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619-633 |
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<jats:title>Abstract</jats:title><jats:p>Over the last decade, the lattice Boltzmann method (LBM) has evolved into a valuable alternative to continuum computational fluid dynamics (CFD) methods for the numerical simulation of several complex fluid‐dynamic problems. Recent advances in lattice Boltzmann research have considerably extended the capability of LBM to handle complex geometries. Among these, a particularly remarkable option is represented by cell‐vertex finite‐volume formulations which permit LBM to operate on fully unstructured grids. The two‐dimensional implementation of unstructured LBM, based on the use of triangular elements, has shown capability of tolerating significant grid distortions without suffering any appreciable numerical viscosity effects, to second‐order in the mesh size. In this work, we present the first three‐dimensional generalization of the unstructured lattice Boltzmann technique (ULBE as unstructured lattice Boltzmann equation), in which geometrical flexibility is achieved by coarse‐graining the lattice Boltzmann equation in differential form, using tetrahedrical grids. This 3D extension is demonstrated for the case of 3D pipe flow and moderate Reynolds numbers flow past a sphere. The results provide evidence that the ULBE has significant potential for the accurate calculation of flows in complex 3D geometries. Copyright © 2005 John Wiley & Sons, Ltd.</jats:p> |
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| author | Rossi, N., Ubertini, S., Bella, G., Succi, S. |
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| description | <jats:title>Abstract</jats:title><jats:p>Over the last decade, the lattice Boltzmann method (LBM) has evolved into a valuable alternative to continuum computational fluid dynamics (CFD) methods for the numerical simulation of several complex fluid‐dynamic problems. Recent advances in lattice Boltzmann research have considerably extended the capability of LBM to handle complex geometries. Among these, a particularly remarkable option is represented by cell‐vertex finite‐volume formulations which permit LBM to operate on fully unstructured grids. The two‐dimensional implementation of unstructured LBM, based on the use of triangular elements, has shown capability of tolerating significant grid distortions without suffering any appreciable numerical viscosity effects, to second‐order in the mesh size. In this work, we present the first three‐dimensional generalization of the unstructured lattice Boltzmann technique (ULBE as unstructured lattice Boltzmann equation), in which geometrical flexibility is achieved by coarse‐graining the lattice Boltzmann equation in differential form, using tetrahedrical grids. This 3D extension is demonstrated for the case of 3D pipe flow and moderate Reynolds numbers flow past a sphere. The results provide evidence that the ULBE has significant potential for the accurate calculation of flows in complex 3D geometries. Copyright © 2005 John Wiley & Sons, Ltd.</jats:p> |
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| spelling | Rossi, N. Ubertini, S. Bella, G. Succi, S. 0271-2091 1097-0363 Wiley Applied Mathematics Computer Science Applications Mechanical Engineering Mechanics of Materials Computational Mechanics http://dx.doi.org/10.1002/fld.1018 <jats:title>Abstract</jats:title><jats:p>Over the last decade, the lattice Boltzmann method (LBM) has evolved into a valuable alternative to continuum computational fluid dynamics (CFD) methods for the numerical simulation of several complex fluid‐dynamic problems. Recent advances in lattice Boltzmann research have considerably extended the capability of LBM to handle complex geometries. Among these, a particularly remarkable option is represented by cell‐vertex finite‐volume formulations which permit LBM to operate on fully unstructured grids. The two‐dimensional implementation of unstructured LBM, based on the use of triangular elements, has shown capability of tolerating significant grid distortions without suffering any appreciable numerical viscosity effects, to second‐order in the mesh size. In this work, we present the first three‐dimensional generalization of the unstructured lattice Boltzmann technique (ULBE as unstructured lattice Boltzmann equation), in which geometrical flexibility is achieved by coarse‐graining the lattice Boltzmann equation in differential form, using tetrahedrical grids. This 3D extension is demonstrated for the case of 3D pipe flow and moderate Reynolds numbers flow past a sphere. The results provide evidence that the ULBE has significant potential for the accurate calculation of flows in complex 3D geometries. Copyright © 2005 John Wiley & Sons, Ltd.</jats:p> Unstructured lattice Boltzmann method in three dimensions International Journal for Numerical Methods in Fluids |
| spellingShingle | Rossi, N., Ubertini, S., Bella, G., Succi, S., International Journal for Numerical Methods in Fluids, Unstructured lattice Boltzmann method in three dimensions, Applied Mathematics, Computer Science Applications, Mechanical Engineering, Mechanics of Materials, Computational Mechanics |
| title | Unstructured lattice Boltzmann method in three dimensions |
| title_full | Unstructured lattice Boltzmann method in three dimensions |
| title_fullStr | Unstructured lattice Boltzmann method in three dimensions |
| title_full_unstemmed | Unstructured lattice Boltzmann method in three dimensions |
| title_short | Unstructured lattice Boltzmann method in three dimensions |
| title_sort | unstructured lattice boltzmann method in three dimensions |
| title_unstemmed | Unstructured lattice Boltzmann method in three dimensions |
| topic | Applied Mathematics, Computer Science Applications, Mechanical Engineering, Mechanics of Materials, Computational Mechanics |
| url | http://dx.doi.org/10.1002/fld.1018 |