Details
| Original language | English |
|---|---|
| Pages (from-to) | 429-454 |
| Number of pages | 26 |
| Journal | Journal of computational physics |
| Volume | 272 |
| Publication status | Published - 1 Sept 2014 |
Abstract
This is the first paper to present a hybrid method coupling an Improved Meshless Local Petrov Galerkin method with Rankine source solution (IMLPG_R) based on the Navier-Stokes (NS) equations, with a finite element method (FEM) based on the fully nonlinear potential flow theory (FNPT) in order to efficiently simulate the violent waves and their interaction with marine structures. The two models are strongly coupled in space and time domains using a moving overlapping zone, wherein the information from both the solvers is exchanged. In the time domain, the Runge-Kutta 2nd order method is nested with a predictor-corrector scheme. In the space domain, numerical techniques including 'Feeding Particles' and two-layer particle interpolation with relaxation coefficients are introduced to achieve the robust coupling of the two models. The properties and behaviours of the new hybrid model are tested by modelling a regular wave, solitary wave and Cnoidal wave including breaking and overtopping. It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data. The paper demonstrates that the method can produce satisfactory results but uses much less computational time compared with a method based on the full NS model.
Keywords
- Breaking and non-breaking waves, Cnoidal, FEM, FNPT, Hybrid methods, IMLPG_R, Navier-Stokes, Solitary waves
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Applied Mathematics
- Mathematics(all)
- Numerical Analysis
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Modelling and Simulation
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Sustainable Development Goals
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of computational physics, Vol. 272, 01.09.2014, p. 429-454.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A hybrid method for modelling two dimensional non-breaking and breaking waves
AU - Sriram, V.
AU - Ma, Q.W.
AU - Schlurmann, T.
N1 - Funding information: The authors would like to acknowledge Alexander von Humboldt Foundation , Germany as well as Newton International Fellowship-Alumni Funds , UK funded by the Royal Society , the Royal Academy of Engineers and British Academia for their grants. The second author also acknowledges the support of EPSRC grant ( EP/J012858 ).
PY - 2014/9/1
Y1 - 2014/9/1
N2 - This is the first paper to present a hybrid method coupling an Improved Meshless Local Petrov Galerkin method with Rankine source solution (IMLPG_R) based on the Navier-Stokes (NS) equations, with a finite element method (FEM) based on the fully nonlinear potential flow theory (FNPT) in order to efficiently simulate the violent waves and their interaction with marine structures. The two models are strongly coupled in space and time domains using a moving overlapping zone, wherein the information from both the solvers is exchanged. In the time domain, the Runge-Kutta 2nd order method is nested with a predictor-corrector scheme. In the space domain, numerical techniques including 'Feeding Particles' and two-layer particle interpolation with relaxation coefficients are introduced to achieve the robust coupling of the two models. The properties and behaviours of the new hybrid model are tested by modelling a regular wave, solitary wave and Cnoidal wave including breaking and overtopping. It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data. The paper demonstrates that the method can produce satisfactory results but uses much less computational time compared with a method based on the full NS model.
AB - This is the first paper to present a hybrid method coupling an Improved Meshless Local Petrov Galerkin method with Rankine source solution (IMLPG_R) based on the Navier-Stokes (NS) equations, with a finite element method (FEM) based on the fully nonlinear potential flow theory (FNPT) in order to efficiently simulate the violent waves and their interaction with marine structures. The two models are strongly coupled in space and time domains using a moving overlapping zone, wherein the information from both the solvers is exchanged. In the time domain, the Runge-Kutta 2nd order method is nested with a predictor-corrector scheme. In the space domain, numerical techniques including 'Feeding Particles' and two-layer particle interpolation with relaxation coefficients are introduced to achieve the robust coupling of the two models. The properties and behaviours of the new hybrid model are tested by modelling a regular wave, solitary wave and Cnoidal wave including breaking and overtopping. It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data. The paper demonstrates that the method can produce satisfactory results but uses much less computational time compared with a method based on the full NS model.
KW - Breaking and non-breaking waves
KW - Cnoidal
KW - FEM
KW - FNPT
KW - Hybrid methods
KW - IMLPG_R
KW - Navier-Stokes
KW - Solitary waves
KW - Breaking and non-breaking waves
KW - Cnoidal
KW - FEM
KW - FNPT
KW - Hybrid methods
KW - IMLPG_R
KW - Navier-Stokes
KW - Solitary waves
UR - http://www.scopus.com/inward/record.url?scp=84899824586&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2014.04.030
DO - 10.1016/j.jcp.2014.04.030
M3 - Article
VL - 272
SP - 429
EP - 454
JO - Journal of computational physics
JF - Journal of computational physics
SN - 0021-9991
ER -