Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies
Constant-curl Laplacian equation is a new approach to study the behaviour of flows around bodies that do not present boundary-layer separation. It owns the simplicity and linearity of a potential analysis but also includes the rotational effects induced by a rotational displacement of the body such...
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2003
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00457930_v32_n7_p975_Ponta http://hdl.handle.net/20.500.12110/paper_00457930_v32_n7_p975_Ponta |
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paper:paper_00457930_v32_n7_p975_Ponta2023-06-08T15:05:21Z Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies Constant-curl condition Finite element implementation Flow around bodies Laplacian equation Boundary layers Finite element method Separation Wind turbines Boundary-layer separation Water finite element analysis flow analysis flow around object Constant-curl Laplacian equation is a new approach to study the behaviour of flows around bodies that do not present boundary-layer separation. It owns the simplicity and linearity of a potential analysis but also includes the rotational effects induced by a rotational displacement of the body such as turbine blades, manoeuvring aircrafts, etc. It assumes that this rotation is constant so that complex curved trajectories should be treated approximating the original path by a series of circular tracks. The idea is based upon a kinematic scheme that states the nullity of the velocity field Laplacian, imposing simultaneously the conditions of incompressibility and constant curl for velocity. We use 9-nodes isoparametric finite elements interpolating velocities and imposing the constant-curl condition by a modified penalty method and incompressibility by a classical one. The numerical results were compared satisfactorily against experimental data for aerodynamic forces and wake constitution on wind-turbine blades. © 2002 Elsevier Science Ltd. All rights reserved. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00457930_v32_n7_p975_Ponta http://hdl.handle.net/20.500.12110/paper_00457930_v32_n7_p975_Ponta |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Constant-curl condition Finite element implementation Flow around bodies Laplacian equation Boundary layers Finite element method Separation Wind turbines Boundary-layer separation Water finite element analysis flow analysis flow around object |
| spellingShingle |
Constant-curl condition Finite element implementation Flow around bodies Laplacian equation Boundary layers Finite element method Separation Wind turbines Boundary-layer separation Water finite element analysis flow analysis flow around object Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| topic_facet |
Constant-curl condition Finite element implementation Flow around bodies Laplacian equation Boundary layers Finite element method Separation Wind turbines Boundary-layer separation Water finite element analysis flow analysis flow around object |
| description |
Constant-curl Laplacian equation is a new approach to study the behaviour of flows around bodies that do not present boundary-layer separation. It owns the simplicity and linearity of a potential analysis but also includes the rotational effects induced by a rotational displacement of the body such as turbine blades, manoeuvring aircrafts, etc. It assumes that this rotation is constant so that complex curved trajectories should be treated approximating the original path by a series of circular tracks. The idea is based upon a kinematic scheme that states the nullity of the velocity field Laplacian, imposing simultaneously the conditions of incompressibility and constant curl for velocity. We use 9-nodes isoparametric finite elements interpolating velocities and imposing the constant-curl condition by a modified penalty method and incompressibility by a classical one. The numerical results were compared satisfactorily against experimental data for aerodynamic forces and wake constitution on wind-turbine blades. © 2002 Elsevier Science Ltd. All rights reserved. |
| title |
Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| title_short |
Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| title_full |
Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| title_fullStr |
Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| title_full_unstemmed |
Constant-curl Laplacian equation: A new approach for the analysis of flows around bodies |
| title_sort |
constant-curl laplacian equation: a new approach for the analysis of flows around bodies |
| publishDate |
2003 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00457930_v32_n7_p975_Ponta http://hdl.handle.net/20.500.12110/paper_00457930_v32_n7_p975_Ponta |
| _version_ |
1768543744040108032 |