A simple and effective axisymmetric convected Helmholtz integral equation
In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Beldi, Mohamed [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
Monopole source in a uniform flow |
|---|
| Umfang: |
14 |
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| Übergeordnetes Werk: |
Enthalten in: Uniqueness of solution of a generalized ⋆-Sylvester matrix equation - De Terán, Fernando ELSEVIER, 2016, Paris |
|---|---|
| Übergeordnetes Werk: |
volume:343 ; year:2015 ; number:9 ; pages:457-470 ; extent:14 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.crme.2015.07.001 |
|---|
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ELV039689573 |
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| 520 | |a In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. | ||
| 520 | |a In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. | ||
| 650 | 7 | |a Monopole source in a uniform flow |2 Elsevier | |
| 650 | 7 | |a Axisymmetric |2 Elsevier | |
| 650 | 7 | |a Weakly singular integrals |2 Elsevier | |
| 650 | 7 | |a Axisymmetric convected Green's function |2 Elsevier | |
| 650 | 7 | |a Convected boundary integral formulation |2 Elsevier | |
| 700 | 1 | |a Barhoumi, Bassem |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a De Terán, Fernando ELSEVIER |t Uniqueness of solution of a generalized ⋆-Sylvester matrix equation |d 2016 |g Paris |w (DE-627)ELV024881597 |
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10.1016/j.crme.2015.07.001 doi GBVA2015007000019.pica (DE-627)ELV039689573 (ELSEVIER)S1631-0721(15)00073-X DE-627 ger DE-627 rakwb eng 520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl Beldi, Mohamed verfasserin aut A simple and effective axisymmetric convected Helmholtz integral equation 2015transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier Barhoumi, Bassem oth Enthalten in Elsevier De Terán, Fernando ELSEVIER Uniqueness of solution of a generalized ⋆-Sylvester matrix equation 2016 Paris (DE-627)ELV024881597 volume:343 year:2015 number:9 pages:457-470 extent:14 https://doi.org/10.1016/j.crme.2015.07.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 343 2015 9 457-470 14 045F 520 |
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10.1016/j.crme.2015.07.001 doi GBVA2015007000019.pica (DE-627)ELV039689573 (ELSEVIER)S1631-0721(15)00073-X DE-627 ger DE-627 rakwb eng 520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl Beldi, Mohamed verfasserin aut A simple and effective axisymmetric convected Helmholtz integral equation 2015transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier Barhoumi, Bassem oth Enthalten in Elsevier De Terán, Fernando ELSEVIER Uniqueness of solution of a generalized ⋆-Sylvester matrix equation 2016 Paris (DE-627)ELV024881597 volume:343 year:2015 number:9 pages:457-470 extent:14 https://doi.org/10.1016/j.crme.2015.07.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 343 2015 9 457-470 14 045F 520 |
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10.1016/j.crme.2015.07.001 doi GBVA2015007000019.pica (DE-627)ELV039689573 (ELSEVIER)S1631-0721(15)00073-X DE-627 ger DE-627 rakwb eng 520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl Beldi, Mohamed verfasserin aut A simple and effective axisymmetric convected Helmholtz integral equation 2015transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier Barhoumi, Bassem oth Enthalten in Elsevier De Terán, Fernando ELSEVIER Uniqueness of solution of a generalized ⋆-Sylvester matrix equation 2016 Paris (DE-627)ELV024881597 volume:343 year:2015 number:9 pages:457-470 extent:14 https://doi.org/10.1016/j.crme.2015.07.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 343 2015 9 457-470 14 045F 520 |
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10.1016/j.crme.2015.07.001 doi GBVA2015007000019.pica (DE-627)ELV039689573 (ELSEVIER)S1631-0721(15)00073-X DE-627 ger DE-627 rakwb eng 520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl Beldi, Mohamed verfasserin aut A simple and effective axisymmetric convected Helmholtz integral equation 2015transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier Barhoumi, Bassem oth Enthalten in Elsevier De Terán, Fernando ELSEVIER Uniqueness of solution of a generalized ⋆-Sylvester matrix equation 2016 Paris (DE-627)ELV024881597 volume:343 year:2015 number:9 pages:457-470 extent:14 https://doi.org/10.1016/j.crme.2015.07.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 343 2015 9 457-470 14 045F 520 |
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10.1016/j.crme.2015.07.001 doi GBVA2015007000019.pica (DE-627)ELV039689573 (ELSEVIER)S1631-0721(15)00073-X DE-627 ger DE-627 rakwb eng 520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl Beldi, Mohamed verfasserin aut A simple and effective axisymmetric convected Helmholtz integral equation 2015transfer abstract 14 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier Barhoumi, Bassem oth Enthalten in Elsevier De Terán, Fernando ELSEVIER Uniqueness of solution of a generalized ⋆-Sylvester matrix equation 2016 Paris (DE-627)ELV024881597 volume:343 year:2015 number:9 pages:457-470 extent:14 https://doi.org/10.1016/j.crme.2015.07.001 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 343 2015 9 457-470 14 045F 520 |
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Enthalten in Uniqueness of solution of a generalized ⋆-Sylvester matrix equation Paris volume:343 year:2015 number:9 pages:457-470 extent:14 |
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Enthalten in Uniqueness of solution of a generalized ⋆-Sylvester matrix equation Paris volume:343 year:2015 number:9 pages:457-470 extent:14 |
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520 540 530 520 DNB 540 DNB 530 DNB 510 VZ 690 VZ 530 620 VZ 52.56 bkl A simple and effective axisymmetric convected Helmholtz integral equation Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation Elsevier |
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ddc 520 ddc 540 ddc 530 ddc 510 ddc 690 bkl 52.56 Elsevier Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation |
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ddc 520 ddc 540 ddc 530 ddc 510 ddc 690 bkl 52.56 Elsevier Monopole source in a uniform flow Elsevier Axisymmetric Elsevier Weakly singular integrals Elsevier Axisymmetric convected Green's function Elsevier Convected boundary integral formulation |
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Uniqueness of solution of a generalized ⋆-Sylvester matrix equation |
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Uniqueness of solution of a generalized ⋆-Sylvester matrix equation |
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A simple and effective axisymmetric convected Helmholtz integral equation |
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A simple and effective axisymmetric convected Helmholtz integral equation |
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Beldi, Mohamed |
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Uniqueness of solution of a generalized ⋆-Sylvester matrix equation |
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Uniqueness of solution of a generalized ⋆-Sylvester matrix equation |
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Beldi, Mohamed |
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a simple and effective axisymmetric convected helmholtz integral equation |
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A simple and effective axisymmetric convected Helmholtz integral equation |
| abstract |
In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. |
| abstractGer |
In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. |
| abstract_unstemmed |
In this paper, we develop an axisymmetric boundary integral equation that derives from a reformulation of the 3D Helmholtz integral formula for the acoustic radiation problems in a subsonic uniform flow. Through the use of a new non-standard derivative operator, the axisymmetric convected Helmholtz integral equation substantially reduces the effects of flow incorporated in the classical convected boundary integral formulations, and involved in the normal derivative and the derivative in the flow direction of the axisymmetric convected Green's function. As for the free term derived from the singular integrals, it is given by a new expression independent of complete elliptic integrals and evaluated analytically as a convected angle in the meridian plane. The numerical treatment of singular integrals requires only the use of standard Gauss quadrature rules. Different test cases are presented. |
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A simple and effective axisymmetric convected Helmholtz integral equation |
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Barhoumi, Bassem |
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