Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme
The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically fo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Peng, Yehui [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Systematik: |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:250 ; year:2015 ; day:1 ; month:01 ; pages:451-462 ; extent:12 |
| Links: |
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| DOI / URN: |
10.1016/j.amc.2014.10.125 |
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| Katalog-ID: |
ELV018165494 |
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| 245 | 1 | 0 | |a Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme |
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| 520 | |a The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. | ||
| 520 | |a The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. | ||
| 650 | 7 | |a Gas-kinetic scheme |2 Elsevier | |
| 650 | 7 | |a Nonlinear acoustic oscillation |2 Elsevier | |
| 650 | 7 | |a Two-dimensional model |2 Elsevier | |
| 700 | 1 | |a Feng, Heying |4 oth | |
| 700 | 1 | |a Hou, Jinjun |4 oth | |
| 700 | 1 | |a Xiong, Zhiguang |4 oth | |
| 700 | 1 | |a Guo, Yingfu |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Moreira, Zeus S. ELSEVIER |t Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |d 2021 |g New York, NY |w (DE-627)ELV006733727 |
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10.1016/j.amc.2014.10.125 doi GBVA2015002000004.pica (DE-627)ELV018165494 (ELSEVIER)S0096-3003(14)01500-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Peng, Yehui verfasserin aut Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme 2015transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. Gas-kinetic scheme Elsevier Nonlinear acoustic oscillation Elsevier Two-dimensional model Elsevier Feng, Heying oth Hou, Jinjun oth Xiong, Zhiguang oth Guo, Yingfu oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:250 year:2015 day:1 month:01 pages:451-462 extent:12 https://doi.org/10.1016/j.amc.2014.10.125 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 250 2015 1 0101 451-462 12 045F 510 |
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10.1016/j.amc.2014.10.125 doi GBVA2015002000004.pica (DE-627)ELV018165494 (ELSEVIER)S0096-3003(14)01500-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Peng, Yehui verfasserin aut Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme 2015transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. Gas-kinetic scheme Elsevier Nonlinear acoustic oscillation Elsevier Two-dimensional model Elsevier Feng, Heying oth Hou, Jinjun oth Xiong, Zhiguang oth Guo, Yingfu oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:250 year:2015 day:1 month:01 pages:451-462 extent:12 https://doi.org/10.1016/j.amc.2014.10.125 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 250 2015 1 0101 451-462 12 045F 510 |
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10.1016/j.amc.2014.10.125 doi GBVA2015002000004.pica (DE-627)ELV018165494 (ELSEVIER)S0096-3003(14)01500-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Peng, Yehui verfasserin aut Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme 2015transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. Gas-kinetic scheme Elsevier Nonlinear acoustic oscillation Elsevier Two-dimensional model Elsevier Feng, Heying oth Hou, Jinjun oth Xiong, Zhiguang oth Guo, Yingfu oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:250 year:2015 day:1 month:01 pages:451-462 extent:12 https://doi.org/10.1016/j.amc.2014.10.125 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 250 2015 1 0101 451-462 12 045F 510 |
| allfieldsGer |
10.1016/j.amc.2014.10.125 doi GBVA2015002000004.pica (DE-627)ELV018165494 (ELSEVIER)S0096-3003(14)01500-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Peng, Yehui verfasserin aut Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme 2015transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. Gas-kinetic scheme Elsevier Nonlinear acoustic oscillation Elsevier Two-dimensional model Elsevier Feng, Heying oth Hou, Jinjun oth Xiong, Zhiguang oth Guo, Yingfu oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:250 year:2015 day:1 month:01 pages:451-462 extent:12 https://doi.org/10.1016/j.amc.2014.10.125 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 250 2015 1 0101 451-462 12 045F 510 |
| allfieldsSound |
10.1016/j.amc.2014.10.125 doi GBVA2015002000004.pica (DE-627)ELV018165494 (ELSEVIER)S0096-3003(14)01500-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Peng, Yehui verfasserin aut Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme 2015transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. Gas-kinetic scheme Elsevier Nonlinear acoustic oscillation Elsevier Two-dimensional model Elsevier Feng, Heying oth Hou, Jinjun oth Xiong, Zhiguang oth Guo, Yingfu oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:250 year:2015 day:1 month:01 pages:451-462 extent:12 https://doi.org/10.1016/j.amc.2014.10.125 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 250 2015 1 0101 451-462 12 045F 510 |
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Simulating the nonlinear acoustic oscillations in a resonator by gas-kinetic scheme |
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The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. |
| abstractGer |
The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. |
| abstract_unstemmed |
The nonlinear oscillation in a compressible air-filled two-dimensional cylindrical resonator driven by a loudspeaker is simulated by using the gas-kinetic scheme. The influences of shock wave and higher harmonic on the time and space distribution of acoustic variables are investigated numerically for the practical applications of high-intensity acoustic devices. The validation of the developed model is verified by comparing the numerical results of pressure distribution with the theoretical ones for the finite-amplitude case. And then, the verified gas-kinetic scheme is used to simulate the acoustic field of highly nonlinear standing wave. Some interesting physical phenomena have been revealed for the highly nonlinear case. Sharp velocity spikes accompanied by the saw-tooth pressure waveforms appear at the end of the resonator. Moreover, the pressure at the position of theoretical pressure node is not zero and its frequency is about twice of the resonance frequency. Furthermore, the second harmonic is predominant at the location of pressure node. And nonlinear saturation can be found in tandem as the shock wave appears. Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. The results demonstrate the gas-kinetic scheme is an efficient and appropriate method for simulation of highly nonlinear acoustic oscillation and concerned problems. |
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Additionally, quasi-one-dimensional distribution accompanied changing flow direction and annular effect is observed for the spatial distribution of x-velocity. In addition, the y-velocity is in an irregular two-dimensional distribution and the y-velocity is not any more negligible relative to the x-velocity. Meanwhile, the important impacts as well as the causes of these nonlinear phenomena are analyzed. 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