An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment
This study investigates an idealized formulation of the two-dimensional impact of a breaking wave on a vertical impermeable wall. An overturning-like wave is assumed, which is close to the concept of a plunging breaker. It is assumed that during the collision an air pocket is entrapped between the w...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/5/2/58 |
| _version_ | 1797569681513512960 |
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| author | Theodosis D. Tsaousis Ioannis K. Chatjigeorgiou |
| author_facet | Theodosis D. Tsaousis Ioannis K. Chatjigeorgiou |
| author_sort | Theodosis D. Tsaousis |
| collection | DOAJ |
| description | This study investigates an idealized formulation of the two-dimensional impact of a breaking wave on a vertical impermeable wall. An overturning-like wave is assumed, which is close to the concept of a plunging breaker. It is assumed that during the collision an air pocket is entrapped between the wave and the wall. The air pocket width is assumed to be negligible and the compression effects are omitted. The problem is considered in the two-dimensional space (2D) using linear potential theory along with the small-time approximation. We use a perturbation method to cope with the linearized free-surface kinematic and dynamic boundary conditions. We impose the complete mixed boundary value problem (bvp) and we solve for the leading order of the velocity potential. The problem derived involves dual trigonometrical series and is treated analytically. The main assumption made is that, within the air pocket, the pressure is zero. Results are presented for the velocity potential on the wall, the velocity, and the free-surface elevation. |
| first_indexed | 2024-03-10T20:15:02Z |
| format | Article |
| id | doaj.art-0321979bde6d4b37849c1001e5563dd0 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T20:15:02Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-0321979bde6d4b37849c1001e5563dd02023-11-19T22:37:02ZengMDPI AGFluids2311-55212020-04-01525810.3390/fluids5020058An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air EntrapmentTheodosis D. Tsaousis0Ioannis K. Chatjigeorgiou1School of Naval Architecture and Marine Engineering, National Technical University of Athens, 9 Heroön Polytechniou Ave., Zografos Campus, 15773 Athens, GreeceSchool of Naval Architecture and Marine Engineering, National Technical University of Athens, 9 Heroön Polytechniou Ave., Zografos Campus, 15773 Athens, GreeceThis study investigates an idealized formulation of the two-dimensional impact of a breaking wave on a vertical impermeable wall. An overturning-like wave is assumed, which is close to the concept of a plunging breaker. It is assumed that during the collision an air pocket is entrapped between the wave and the wall. The air pocket width is assumed to be negligible and the compression effects are omitted. The problem is considered in the two-dimensional space (2D) using linear potential theory along with the small-time approximation. We use a perturbation method to cope with the linearized free-surface kinematic and dynamic boundary conditions. We impose the complete mixed boundary value problem (bvp) and we solve for the leading order of the velocity potential. The problem derived involves dual trigonometrical series and is treated analytically. The main assumption made is that, within the air pocket, the pressure is zero. Results are presented for the velocity potential on the wall, the velocity, and the free-surface elevation.https://www.mdpi.com/2311-5521/5/2/58hydrodynamic slammingbreaking wave impactplunging breakersmixed boundary value problems (bvp)dual trigonometrical seriesperturbation method |
| spellingShingle | Theodosis D. Tsaousis Ioannis K. Chatjigeorgiou An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment Fluids hydrodynamic slamming breaking wave impact plunging breakers mixed boundary value problems (bvp) dual trigonometrical series perturbation method |
| title | An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment |
| title_full | An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment |
| title_fullStr | An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment |
| title_full_unstemmed | An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment |
| title_short | An Analytical Approach for the Two-Dimensional Plunging Breaking Wave Impact on a Vertical Wall with Air Entrapment |
| title_sort | analytical approach for the two dimensional plunging breaking wave impact on a vertical wall with air entrapment |
| topic | hydrodynamic slamming breaking wave impact plunging breakers mixed boundary value problems (bvp) dual trigonometrical series perturbation method |
| url | https://www.mdpi.com/2311-5521/5/2/58 |
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