Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs
The calculation of the turbulent stress matrix using acoustic Doppler current profiler (ADCP) data remains a challenging problem in the study of geophysical flows. One of the ways to overcome the problem is to use a system of two coupled ADCP with pairs of beams intersecting at a certain depth. When...
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MDPI AG
2022-12-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/15/1/28 |
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| author | Sergey Bogdanov Igor Maksimov Galina Zdorovennova Roman Zdorovennov Nikolai Palshin Andrey Mitrokhov |
| author_facet | Sergey Bogdanov Igor Maksimov Galina Zdorovennova Roman Zdorovennov Nikolai Palshin Andrey Mitrokhov |
| author_sort | Sergey Bogdanov |
| collection | DOAJ |
| description | The calculation of the turbulent stress matrix using acoustic Doppler current profiler (ADCP) data remains a challenging problem in the study of geophysical flows. One of the ways to overcome the problem is to use a system of two coupled ADCP with pairs of beams intersecting at a certain depth. When device configuration is symmetric in horizontal, this setting makes it possible to estimate the stresses only for a small range of depths, close to the depth of beam intersection point. To overcome this restriction, in this paper the modified setting is proposed, when both devices are symmetrically turned in the horizontal plane. The X axes of the devices are not collinear for such setting, and two pairs of beams intersect at two different depths, which depend on the distance between the emitters and devices’ rotation angle, and can be chosen in advance. At each of these depths, six beam velocity variances can be directly calculated, as well as the correlation of those velocity components, which correspond to the intersecting beams. As a result, an overdetermined system of equations is derived for unknown stresses, for both depths. The method was approbated during the processing of two series of field data obtained in lakes during open water and ice-covered periods. In most cases, calculations lead to physically consistent results; in particular, the stress matrix turns out to be positive definite. The method’s limitations and perspectives of its development are discussed. |
| first_indexed | 2024-03-09T09:37:35Z |
| format | Article |
| id | doaj.art-3c8c8f1fbb2a4c9399940d8efde338ce |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T09:37:35Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-3c8c8f1fbb2a4c9399940d8efde338ce2023-12-02T01:13:13ZengMDPI AGWater2073-44412022-12-011512810.3390/w15010028Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPsSergey Bogdanov0Igor Maksimov1Galina Zdorovennova2Roman Zdorovennov3Nikolai Palshin4Andrey Mitrokhov5Northern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya, 11, 185030 Petrozavodsk, RussiaThe calculation of the turbulent stress matrix using acoustic Doppler current profiler (ADCP) data remains a challenging problem in the study of geophysical flows. One of the ways to overcome the problem is to use a system of two coupled ADCP with pairs of beams intersecting at a certain depth. When device configuration is symmetric in horizontal, this setting makes it possible to estimate the stresses only for a small range of depths, close to the depth of beam intersection point. To overcome this restriction, in this paper the modified setting is proposed, when both devices are symmetrically turned in the horizontal plane. The X axes of the devices are not collinear for such setting, and two pairs of beams intersect at two different depths, which depend on the distance between the emitters and devices’ rotation angle, and can be chosen in advance. At each of these depths, six beam velocity variances can be directly calculated, as well as the correlation of those velocity components, which correspond to the intersecting beams. As a result, an overdetermined system of equations is derived for unknown stresses, for both depths. The method was approbated during the processing of two series of field data obtained in lakes during open water and ice-covered periods. In most cases, calculations lead to physically consistent results; in particular, the stress matrix turns out to be positive definite. The method’s limitations and perspectives of its development are discussed.https://www.mdpi.com/2073-4441/15/1/28lakeADCPturbulent stresses matrixover determined system of equationsstresses variations on vertical |
| spellingShingle | Sergey Bogdanov Igor Maksimov Galina Zdorovennova Roman Zdorovennov Nikolai Palshin Andrey Mitrokhov Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs Water lake ADCP turbulent stresses matrix over determined system of equations stresses variations on vertical |
| title | Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs |
| title_full | Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs |
| title_fullStr | Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs |
| title_full_unstemmed | Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs |
| title_short | Towards Turbulent Stresses Estimates by Special Geometric Adjustment of Two ADCPs |
| title_sort | towards turbulent stresses estimates by special geometric adjustment of two adcps |
| topic | lake ADCP turbulent stresses matrix over determined system of equations stresses variations on vertical |
| url | https://www.mdpi.com/2073-4441/15/1/28 |
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