Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver
Transition between free-surface and pressurized flows is a crucial phenomenon in many hydraulic systems. During simulation of such phenomenon, severe numerical oscillations may appear behind filling-bores, causing unphysical pressure variations and computation failure. This paper reviews existing os...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/12/5/1245 |
| _version_ | 1797569525092188160 |
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| author | Zhonghao Mao Guanghua Guan Zhonghua Yang |
| author_facet | Zhonghao Mao Guanghua Guan Zhonghua Yang |
| author_sort | Zhonghao Mao |
| collection | DOAJ |
| description | Transition between free-surface and pressurized flows is a crucial phenomenon in many hydraulic systems. During simulation of such phenomenon, severe numerical oscillations may appear behind filling-bores, causing unphysical pressure variations and computation failure. This paper reviews existing oscillation-suppressing methods, while only one of them can obtain a stable result under a realistic acoustic wave speed. We derive a new oscillation-suppressing method with first-order accuracy. This simple method contains two parameters, <i>P</i><sub>a</sub> and <i>P</i><sub>b</sub>, and their values can be determined easily. It can sufficiently suppress numerical oscillations under an acoustic wave speed of 1000 ms<sup>−1</sup>. Good agreement is found between simulation results and analytical results or experimental data. This paper can help readers to choose an appropriate oscillation-suppressing method for numerical simulations of flow regime transition under a realistic acoustic wave speed. |
| first_indexed | 2024-03-10T20:12:48Z |
| format | Article |
| id | doaj.art-c92b4eba8bd14fd9996a2440e4ab45b6 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T20:12:48Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-c92b4eba8bd14fd9996a2440e4ab45b62023-11-19T22:49:14ZengMDPI AGWater2073-44412020-04-01125124510.3390/w12051245Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL SolverZhonghao Mao0Guanghua Guan1Zhonghua Yang2State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaTransition between free-surface and pressurized flows is a crucial phenomenon in many hydraulic systems. During simulation of such phenomenon, severe numerical oscillations may appear behind filling-bores, causing unphysical pressure variations and computation failure. This paper reviews existing oscillation-suppressing methods, while only one of them can obtain a stable result under a realistic acoustic wave speed. We derive a new oscillation-suppressing method with first-order accuracy. This simple method contains two parameters, <i>P</i><sub>a</sub> and <i>P</i><sub>b</sub>, and their values can be determined easily. It can sufficiently suppress numerical oscillations under an acoustic wave speed of 1000 ms<sup>−1</sup>. Good agreement is found between simulation results and analytical results or experimental data. This paper can help readers to choose an appropriate oscillation-suppressing method for numerical simulations of flow regime transition under a realistic acoustic wave speed.https://www.mdpi.com/2073-4441/12/5/1245flow regime transitionfinite volume methodsnumerical oscillationsnumerical viscosityPreissmann slot model |
| spellingShingle | Zhonghao Mao Guanghua Guan Zhonghua Yang Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver Water flow regime transition finite volume methods numerical oscillations numerical viscosity Preissmann slot model |
| title | Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver |
| title_full | Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver |
| title_fullStr | Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver |
| title_full_unstemmed | Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver |
| title_short | Suppress Numerical Oscillations in Transient Mixed Flow Simulations with a Modified HLL Solver |
| title_sort | suppress numerical oscillations in transient mixed flow simulations with a modified hll solver |
| topic | flow regime transition finite volume methods numerical oscillations numerical viscosity Preissmann slot model |
| url | https://www.mdpi.com/2073-4441/12/5/1245 |
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