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A unified Lagrangian formulation for solid and fluid dynamics and its possibility for modelling submarine landslides and their consequences
- Source :
- Computer Methods in Applied Mechanics and Engineering, Scipedia Open Access, Scipedia SL, UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
- Publication Year :
- 2019
-
Abstract
- Consequences of submarine landslides include both their direct impact on offshore infrastructure, such as subsea electric cables and gas/oil pipelines, and their indirect impact via the generated tsunami. The simulation of submarine landslides and their consequences has been a long-standing challenge majorly due to the strong coupling among sliding sediments, seawater and infrastructure as well as the induced extreme material deformation during the complete process. In this paper, we propose a unified finite element formulation for solid and fluid dynamics based on a generalised Hellinger–Reissner variational principle so that the coupling of fluid and solid can be achieved naturally in a monolithic fashion. In order to tackle extreme deformation problems, the resulting formulation is implemented within the framework of the particle finite element method. The correctness and robustness of the proposed unified formulation for single-phase problems (e.g. fluid dynamics problems involving Newtonian/Non-Newtonian flows and solid dynamics problems) as well as for multi-phase problems (e.g. two-phase flows) are verified against benchmarks. Comparisons are carried out against numerical and analytical solutions or experimental data that are available in the literature. Last but not least, the possibility of the proposed approach for modelling submarine landslides and their consequences is demonstrated via a numerical experiment of an underwater slope stability problem. It is shown that the failure and post-failure processes of the underwater slope can be predicted in a single simulation with its direct threat to a nearby pipeline and indirect threat by generating tsunami being estimated as well. The authors wish to acknowledge the support of European Commission H2020 Marie Sklodowska-Curie actions individual fellowship (Reference 744281; Proposal title “Towards Submarine Landslides and Their Consequences”).
- Subjects :
- Engineering, Civil
Geologia submarina
Computational Mechanics
General Physics and Astronomy
Engineering, Multidisciplinary
010103 numerical & computational mathematics
Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC]
01 natural sciences
Physics::Geophysics
PFEM
Submarine geology--Mathematical models
Slope stability
Fluid dynamics
Fluid–solid interaction
Unified FE formulation
Engineering, Ocean
0101 mathematics
Underwater
Enginyeria civil::Geotècnia::Sismologia [Àrees temàtiques de la UPC]
Engineering, Aerospace
Engineering, Biomedical
Landslides--Mathematical models
Esllavissades -- Models matemàtics
Mechanical Engineering
Submarine landslide
Mathematical programming
Computer Science, Software Engineering
Finite element method
Engineering, Marine
Computer Science Applications
010101 applied mathematics
Pipeline transport
Engineering, Manufacturing
Engineering, Mechanical
13. Climate action
Mechanics of Materials
Engineering, Industrial
Submarine pipeline
Submarine geology
Monolithic coupling
Geology
Marine engineering
Subsea
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Computer Methods in Applied Mechanics and Engineering, Scipedia Open Access, Scipedia SL, UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
- Accession number :
- edsair.doi.dedup.....10b05b2ba5d68bd1614b379f13785f98