Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid
Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discus...
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| Autor*in: |
Alam, Mohammad-Reza [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2009 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2009 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Springer Netherlands, 1967, 65(2009), 2 vom: 27. Juni, Seite 179-200 |
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| Übergeordnetes Werk: |
volume:65 ; year:2009 ; number:2 ; day:27 ; month:06 ; pages:179-200 |
| Links: |
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| DOI / URN: |
10.1007/s10665-009-9303-1 |
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OLC2074041071 |
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| 520 | |a Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. | ||
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10.1007/s10665-009-9303-1 doi (DE-627)OLC2074041071 (DE-He213)s10665-009-9303-1-p DE-627 ger DE-627 rakwb eng 510 VZ Alam, Mohammad-Reza verfasserin aut Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2009 Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. Green function Moving and oscillating disturbance Spectral method Two-layer fluid Liu, Yuming aut Yue, Dick K. P. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 65(2009), 2 vom: 27. Juni, Seite 179-200 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:65 year:2009 number:2 day:27 month:06 pages:179-200 https://doi.org/10.1007/s10665-009-9303-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 65 2009 2 27 06 179-200 |
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10.1007/s10665-009-9303-1 doi (DE-627)OLC2074041071 (DE-He213)s10665-009-9303-1-p DE-627 ger DE-627 rakwb eng 510 VZ Alam, Mohammad-Reza verfasserin aut Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2009 Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. Green function Moving and oscillating disturbance Spectral method Two-layer fluid Liu, Yuming aut Yue, Dick K. P. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 65(2009), 2 vom: 27. Juni, Seite 179-200 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:65 year:2009 number:2 day:27 month:06 pages:179-200 https://doi.org/10.1007/s10665-009-9303-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 65 2009 2 27 06 179-200 |
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10.1007/s10665-009-9303-1 doi (DE-627)OLC2074041071 (DE-He213)s10665-009-9303-1-p DE-627 ger DE-627 rakwb eng 510 VZ Alam, Mohammad-Reza verfasserin aut Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2009 Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. Green function Moving and oscillating disturbance Spectral method Two-layer fluid Liu, Yuming aut Yue, Dick K. P. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 65(2009), 2 vom: 27. Juni, Seite 179-200 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:65 year:2009 number:2 day:27 month:06 pages:179-200 https://doi.org/10.1007/s10665-009-9303-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 65 2009 2 27 06 179-200 |
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10.1007/s10665-009-9303-1 doi (DE-627)OLC2074041071 (DE-He213)s10665-009-9303-1-p DE-627 ger DE-627 rakwb eng 510 VZ Alam, Mohammad-Reza verfasserin aut Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2009 Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. Green function Moving and oscillating disturbance Spectral method Two-layer fluid Liu, Yuming aut Yue, Dick K. P. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 65(2009), 2 vom: 27. Juni, Seite 179-200 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:65 year:2009 number:2 day:27 month:06 pages:179-200 https://doi.org/10.1007/s10665-009-9303-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 65 2009 2 27 06 179-200 |
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10.1007/s10665-009-9303-1 doi (DE-627)OLC2074041071 (DE-He213)s10665-009-9303-1-p DE-627 ger DE-627 rakwb eng 510 VZ Alam, Mohammad-Reza verfasserin aut Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2009 Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. Green function Moving and oscillating disturbance Spectral method Two-layer fluid Liu, Yuming aut Yue, Dick K. P. aut Enthalten in Journal of engineering mathematics Springer Netherlands, 1967 65(2009), 2 vom: 27. Juni, Seite 179-200 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:65 year:2009 number:2 day:27 month:06 pages:179-200 https://doi.org/10.1007/s10665-009-9303-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_70 GBV_ILN_95 GBV_ILN_2015 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4700 AR 65 2009 2 27 06 179-200 |
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Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid |
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Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. © Springer Science+Business Media B.V. 2009 |
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Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. © Springer Science+Business Media B.V. 2009 |
| abstract_unstemmed |
Abstract Wave generation due to the steady translational motion of an oscillatory disturbance in a two-layer density-stratified fluid is studied. In the context of linearized two- and three-dimensional potential flow, explicit expressions for the Green functions are derived and limiting cases discussed. Of special interest are the waves in the far field. The number and amplitudes of these waves depend on the characteristics of the disturbance (location, speed and oscillation frequency) and the ocean (stratified layer density and depth ratios). These dependencies are elucidated in concrete examples. An interesting finding, for example, is that, for constant frequency, there are critical speeds (as functions of density and depth ratios) at which the specific amplitudes attain maxima. For the more general problem and as an independent validation, an efficient numerical scheme for the problem based on a spectral method is developed. Direct simulation results compare well with analytical predictions in the near- and far-fields and offer a powerful tool for practical problems with general time-dependent motions of one or more bodies. © Springer Science+Business Media B.V. 2009 |
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| title_short |
Waves due to an oscillating and translating disturbance in a two-layer density-stratified fluid |
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https://doi.org/10.1007/s10665-009-9303-1 |
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Liu, Yuming Yue, Dick K. P. |
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