Adaptive Mesh Refinement Method Applied to Shallow Water Model: A Mass Conservative Projection

Pons, Kévin; Golay, Frédéric; Marcer, Richard

doi:10.14311/tpfm.2017.032

Cited by 7 publications

(5 citation statements)

References 14 publications

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“…The developed model was validated with real tsunami events and emphasised the efficiency of the adaptive mesh in reducing the simulation time compared to a uniform grid. Another AMR adaptation was presented by Pons et al [49,50]. Indeed, the AMR method enhanced the simulation efficiency with a reduction in computational time.…”

Section: Discussionmentioning

confidence: 99%

Tsunami Inundation Modelling in a Built-In Coastal Environment with Adaptive Mesh Refinement: The Onagawa Benchmark Test

Aljber,

Lee,

Jeong

et al. 2024

JMSE

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In tsunami studies, understanding the intricate dynamics in the swash area, characterised by the shoaling effect, remains a challenge. In this study, we employed the adaptive mesh refinement (AMR) method to model tsunami inundation and propagation in the Onagawa town physical flume experiment. Using the open-source flow solver Basilisk, we implemented the Saint-Venant (SV) equations, Serre–Green–Naghdi (SGN) equations, and a nonhydrostatic multilayer (ML) extension of the SGN equations. A hydraulic bore tsunami-like wave was used as the input boundary condition. The objective was to assess the efficiency of the AMR method with nonhydrostatic tsunami models in overcoming limitations in 2D and quasi-3D models in flume experiments, particularly with respect to improving accuracy in arrival time and run-up detection. The results indicate improved performance of the SGN and SV models in determining tsunami arrival times. The ML model demonstrated enhanced wave run-up simulations on complex built-in terrain. The refined roughness coefficient determined using the ML solver captured the arrival time well in the northern section of the Onagawa model, albeit with a 1 s delay. The AMR method offered a computationally stable solution with an 86.3% reduction in computational time compared to a constant grid. While effective, the nonhydrostatic models entail the use of a great deal of computational resources.

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Section: Discussionmentioning

confidence: 99%

Tsunami Inundation Modelling in a Built-In Coastal Environment with Adaptive Mesh Refinement: The Onagawa Benchmark Test

Aljber,

Lee,

Jeong

et al. 2024

JMSE

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“…There is a delay in events and a significant underestimation at t * ≈ 90. These discrepancies are also effective in the reference numerical solution (P0-HR) and in the work of [14] but are solved using a Boussinesq-type model in [15]. Thus, it can be considered that SWE fails to capture specific events, but the numerical method is validated.…”

Section: Roeber Test Casementioning

confidence: 99%

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations with Flooding and Drying Treatment

Poussel,

Ersoy,

Golay

2024

Topical Problems of Fluid Mechanics 2024

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This work is devoted to the numerical simulation of Shallow Water Equations involving dry areas and a moving shoreline. The space and time discretization using the Runge-Kutta Discontinuous Galerkin approach is applied to nonlinear hyperbolic Shallow Water Equations. Problems with dry areas are challenging problems for such methods. To counter this issue, special treatment is applied around the shoreline. This work compares two treatments, one based on slope modification and one based on p-adaptation.

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“…However, close to the coast, complex physical processes like dispersion, nonlinear breaking waves (see for instance [1]), interactions with coastal structures, require more accurate models. Principia have been working on the validation of two complementary models: a depth-averaged Saint-Venant model developed by Principia and Université de Toulon [2] for large scale tsunami propagation simulation, and a fully 3D Navier-Stokes model developed by Principia especially for complex wave breaking and coastal impact problems [3,4].…”

Section: Introduction mentioning

confidence: 99%

Saint-Venant and Navier-Stokes Models for Tsunami Simulations

Journeau¹,

Pons²,

Marcer³

2019

JSOE

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Into the frame of the French TANDEM project (Tsunamis in the Atlantic and the English ChaNnel: Definition of the Effects through numerical Modelling) Principia has been working on the development and qualification of two in-house CFD software: the 2D EOLE-SV (Saint-Venant) model for simulation of large scale tsunami propagation from the source up to coastal scale and the 3D EOLE-NS (Navier-Stokes) model dedicated to tsunami coastal impact modelling. This paper presents a large range of test cases carried out into the frame of the project and dedicated to the validation of numerical codes in various tsunami wave conditions. The main aspects of phenomena such as wave generation, propagation and coastal impact are investigated on academic situations. A real case simulation is concerned as well, the devastating 2011 Tohoku event which is compared with in-situ data.

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Adaptive Mesh Refinement Method Applied to Shallow Water Model: A Mass Conservative Projection

Cited by 7 publications

References 14 publications

Tsunami Inundation Modelling in a Built-In Coastal Environment with Adaptive Mesh Refinement: The Onagawa Benchmark Test

Tsunami Inundation Modelling in a Built-In Coastal Environment with Adaptive Mesh Refinement: The Onagawa Benchmark Test

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations with Flooding and Drying Treatment

Saint-Venant and Navier-Stokes Models for Tsunami Simulations

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