A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Two model for simulation of free surface flow is presented. The first model is a finite difference based potential flow model with non-linear kinematic and dynamic free surface boundary conditions. The second model is a weighted least squares based incompressible and inviscid flow model. A special feature of this model is a generalized finite point set method which is applied to the solution of the Poisson equation on an unstructured point distribution. The presented finite point set method is generalized to arbitrary order of approximation. The two models are applied to simulation of steep and overturning wave impacts on a vertical breakwater. Wave groups with five different wave heights are propagated from offshore to the vicinity of the breakwater, where the waves are steep, but still smooth and non-overturning. These waves are used as initial condition for the weighted least squares based incompressible and inviscid model and the wave impacts on the vertical breakwater are simulated in this model. The resulting maximum pressures and forces on the breakwater are relatively high when compared with other studies and this is due to the incompressible nature of the present model.
Original languageEnglish
Title of host publicationProceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering
Number of pages12
PublisherAmerican Society of Mechanical Engineers
Publication date2012
Publication statusPublished - 2012
Event31st ASME International Conference on Ocean, Offshore and Arctic Engineering - Rio de Janeiro, Brazil
Duration: 1 Jul 20126 Jul 2012
Conference number: 31
https://www.asmeconferences.org/OMAE2012/

Conference

Conference31st ASME International Conference on Ocean, Offshore and Arctic Engineering
Number31
CountryBrazil
CityRio de Janeiro
Period01/07/201206/07/2012
Internet address

Cite this

Lindberg, O., Bingham, H. B., & Engsig-Karup, A. P. (2012). A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact. In Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering American Society of Mechanical Engineers.
Lindberg, Ole ; Bingham, Harry B. ; Engsig-Karup, Allan Peter. / A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact. Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012.
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abstract = "Two model for simulation of free surface flow is presented. The first model is a finite difference based potential flow model with non-linear kinematic and dynamic free surface boundary conditions. The second model is a weighted least squares based incompressible and inviscid flow model. A special feature of this model is a generalized finite point set method which is applied to the solution of the Poisson equation on an unstructured point distribution. The presented finite point set method is generalized to arbitrary order of approximation. The two models are applied to simulation of steep and overturning wave impacts on a vertical breakwater. Wave groups with five different wave heights are propagated from offshore to the vicinity of the breakwater, where the waves are steep, but still smooth and non-overturning. These waves are used as initial condition for the weighted least squares based incompressible and inviscid model and the wave impacts on the vertical breakwater are simulated in this model. The resulting maximum pressures and forces on the breakwater are relatively high when compared with other studies and this is due to the incompressible nature of the present model.",
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Lindberg, O, Bingham, HB & Engsig-Karup, AP 2012, A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact. in Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 31st ASME International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, Brazil, 01/07/2012.

A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact. / Lindberg, Ole; Bingham, Harry B.; Engsig-Karup, Allan Peter.

Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012.

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

TY - GEN

T1 - A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact

AU - Lindberg, Ole

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N2 - Two model for simulation of free surface flow is presented. The first model is a finite difference based potential flow model with non-linear kinematic and dynamic free surface boundary conditions. The second model is a weighted least squares based incompressible and inviscid flow model. A special feature of this model is a generalized finite point set method which is applied to the solution of the Poisson equation on an unstructured point distribution. The presented finite point set method is generalized to arbitrary order of approximation. The two models are applied to simulation of steep and overturning wave impacts on a vertical breakwater. Wave groups with five different wave heights are propagated from offshore to the vicinity of the breakwater, where the waves are steep, but still smooth and non-overturning. These waves are used as initial condition for the weighted least squares based incompressible and inviscid model and the wave impacts on the vertical breakwater are simulated in this model. The resulting maximum pressures and forces on the breakwater are relatively high when compared with other studies and this is due to the incompressible nature of the present model.

AB - Two model for simulation of free surface flow is presented. The first model is a finite difference based potential flow model with non-linear kinematic and dynamic free surface boundary conditions. The second model is a weighted least squares based incompressible and inviscid flow model. A special feature of this model is a generalized finite point set method which is applied to the solution of the Poisson equation on an unstructured point distribution. The presented finite point set method is generalized to arbitrary order of approximation. The two models are applied to simulation of steep and overturning wave impacts on a vertical breakwater. Wave groups with five different wave heights are propagated from offshore to the vicinity of the breakwater, where the waves are steep, but still smooth and non-overturning. These waves are used as initial condition for the weighted least squares based incompressible and inviscid model and the wave impacts on the vertical breakwater are simulated in this model. The resulting maximum pressures and forces on the breakwater are relatively high when compared with other studies and this is due to the incompressible nature of the present model.

M3 - Article in proceedings

BT - Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering

PB - American Society of Mechanical Engineers

ER -

Lindberg O, Bingham HB, Engsig-Karup AP. A Coupled Finite Difference and Moving Least Squares Simulation of Violent Breaking Wave Impact. In Proceedings of 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers. 2012