A variational principle for ideal flow over a spillway
A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow speci...
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| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1980 |
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| Umfang: |
2 Ill. 6 |
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| Reproduktion: |
Wiley InterScience Backfile Collection 1832-2000 |
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| Übergeordnetes Werk: |
in: International Journal for Numerical Methods in Engineering - Chichester [u.a.] : Wiley, 15(1980) vom: Mai, Seite 767-772 |
| Übergeordnetes Werk: |
volume:15 ; year:1980 ; month:05 ; pages:767-772 ; extent:6 |
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| 520 | |a A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. | ||
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(DE-627)NLEJ163267243 DE-627 ger DE-627 rakwb eng A variational principle for ideal flow over a spillway 1980 2 Ill. 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. Wiley InterScience Backfile Collection 1832-2000 O'carroll, M. J. oth in International Journal for Numerical Methods in Engineering Chichester [u.a.] : Wiley 15(1980) vom: Mai, Seite 767-772 (DE-627)NLEJ159071275 (DE-600)1480873-0 0029-5981 nnns volume:15 year:1980 month:05 pages:767-772 extent:6 http://dx.doi.org/10.1002/nme.1620150511 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 15 1980 5 767-772 6 |
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(DE-627)NLEJ163267243 DE-627 ger DE-627 rakwb eng A variational principle for ideal flow over a spillway 1980 2 Ill. 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. Wiley InterScience Backfile Collection 1832-2000 O'carroll, M. J. oth in International Journal for Numerical Methods in Engineering Chichester [u.a.] : Wiley 15(1980) vom: Mai, Seite 767-772 (DE-627)NLEJ159071275 (DE-600)1480873-0 0029-5981 nnns volume:15 year:1980 month:05 pages:767-772 extent:6 http://dx.doi.org/10.1002/nme.1620150511 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 15 1980 5 767-772 6 |
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(DE-627)NLEJ163267243 DE-627 ger DE-627 rakwb eng A variational principle for ideal flow over a spillway 1980 2 Ill. 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. Wiley InterScience Backfile Collection 1832-2000 O'carroll, M. J. oth in International Journal for Numerical Methods in Engineering Chichester [u.a.] : Wiley 15(1980) vom: Mai, Seite 767-772 (DE-627)NLEJ159071275 (DE-600)1480873-0 0029-5981 nnns volume:15 year:1980 month:05 pages:767-772 extent:6 http://dx.doi.org/10.1002/nme.1620150511 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 15 1980 5 767-772 6 |
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(DE-627)NLEJ163267243 DE-627 ger DE-627 rakwb eng A variational principle for ideal flow over a spillway 1980 2 Ill. 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. Wiley InterScience Backfile Collection 1832-2000 O'carroll, M. J. oth in International Journal for Numerical Methods in Engineering Chichester [u.a.] : Wiley 15(1980) vom: Mai, Seite 767-772 (DE-627)NLEJ159071275 (DE-600)1480873-0 0029-5981 nnns volume:15 year:1980 month:05 pages:767-772 extent:6 http://dx.doi.org/10.1002/nme.1620150511 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 15 1980 5 767-772 6 |
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(DE-627)NLEJ163267243 DE-627 ger DE-627 rakwb eng A variational principle for ideal flow over a spillway 1980 2 Ill. 6 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. Wiley InterScience Backfile Collection 1832-2000 O'carroll, M. J. oth in International Journal for Numerical Methods in Engineering Chichester [u.a.] : Wiley 15(1980) vom: Mai, Seite 767-772 (DE-627)NLEJ159071275 (DE-600)1480873-0 0029-5981 nnns volume:15 year:1980 month:05 pages:767-772 extent:6 http://dx.doi.org/10.1002/nme.1620150511 text/html Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-WIS GBV_NL_ARTICLE AR 15 1980 5 767-772 6 |
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A variational principle for ideal flow over a spillway |
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A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. |
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A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. |
| abstract_unstemmed |
A variational principle is presented which represents steady ideal flow with a free surface under gravity in terms of the stream function with Dirichlet boundary conditions. A different principle of Ikegawa and Washizu is shown to require restricted variations not consistent with the mass flow specification. The new principle is a special case of the of O'Carroll and Harrison in terms of enthalpy discontinuity between two streams. It is also reciprocal to a velocity potential functional. Finite element procedures and the determination of critical flow are discussed. |
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