3D Tsunami Run-up Simulation and Visualization using Particle Method with Gis-Based Geography Model

Isshiki, Minoru; Asai, Mitsuteru; Eguchi, Shimon; O-Tani, Hideyuki

doi:10.1142/s1793431116400200

Cited by 12 publications

(6 citation statements)

References 5 publications

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“…However, for the run-up of tsunami waves to structures around urban areas, it is inappropriate to apply the shallow water approximation because it neglects vertical acceleration. Therefore, free surface flow simulations based on the 3D Navier-Stokes equations have been developed 5,6 . Unfortunately, the huge computational cost of such simulations makes it unrealistic to simulate tsunami waves from the source area to urban areas in 3D.…”

Section: Introductionmentioning

confidence: 99%

A two-way coupling 2D-3D hybrid finite element numerical model using overlapping method for tsunami simulation

Ling¹,

Matsumoto²,

Kashiyama³

2023

Preprint

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This paper describes a 2D-3D hybrid model for tsunami simulations that uses an overlapping method based on an arbitrary grid. A 2D model is used to simulate wave propagation from the source area to the offshore area, and a 3D model is then used to simulate the free surface flow around structures in coastal areas. An overlapping method that satisfies the conservation and compatibility conditions is developed to couple the two models. The shallow water equations are applied for the 2D model, and the Navier-Stokes equations and continuity equations are applied for the flow field of the 3D model. The Allen-Cahn equation is applied for the interface-capturing method of the 3D model. The stabilized finite element method is applied for the spatial discretization and the Crank-Nicolson method is used for the temporal discretization of the governing equations. The model is verified and validated through several numerical analysis examples.

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Section: Introductionmentioning

confidence: 99%

A two-way coupling 2D-3D hybrid finite element numerical model using overlapping method for tsunami simulation

Ling¹,

Matsumoto²,

Kashiyama³

2023

Preprint

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“…Here, the density ratio between the rigid body and fluid is around 0.52, thus the rigid body is still floating during the whole simulation. In this simulation, the treatment of rigid body motion follows our previous studies …”

Section: Experiments and Resultsmentioning

confidence: 99%

“…In this simulation, the treatment of rigid body motion follows our previous studies. 43,45 In the second simulation, the two numerical tests for dam-break flows with an obstacle are performed using 2D-ISPH method. Figure 9 shows the snapshots of pressure distributions for the dam break over obstacle.…”

Section: Visualization and Animation Resultsmentioning

confidence: 99%

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Interactive fluid flow simulation in computer graphics using incompressible smoothed particle hydrodynamics

Hassaballah

Aly

Abdelnaim

2019

Computer Animation & Virtual

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Interactive simulations of fluids flow play an important role in several computer graphics‐based applications such as computer games, computer animation, movie industry, and virtual realities. The incompressible smoothed particle hydrodynamics (ISPH) model is a promising numerical scheme for large‐scale and large‐deformation simulations, where the pressure can be determined precisely by solving pressure Poisson equation (PPE). The three main shortcomings of the ISPH scheme are oscillating pressure, particles disorders, and particles penetrations through rigid boundary. In this paper, the stable pressure is obtained from modifications in the source term of PPE, in which the divergence‐free velocity condition plus density‐invariance condition multiply by a relaxation coefficient are included. The particles disorders are solved via utilizing a shifting technique with the current treatment of source term in PPE. Additionally, the dummy boundary particles are used for the rigid boundary treatment. For getting enough pressure on the boundary, the Neumann boundary condition is satisfied during the implicit solving processes. The performance of the stabilized ISPH model is tested on various numerical simulations with largely distorted free surface including liquid sloshing problems, fluid–fluid and fluid–structure interactions, and dam‐break flows. To extend the applicability of the stabilized ISPH model, the post process including visual realism with a highly rendering scheme is coupled. The coupled scheme introduces several simulations including free falling of a rigid body, water splashes, and dam break analysis. Furthermore, the proposed ISPH‐based method enables efficient and viscous fluid simulations with large time steps, higher viscosities, and resolutions, and it is a robust scheme in long interval simulations of nonlinear free‐surface flows.

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“…Therefore, free surface flow simulations based on the 3D Navier-Stokes equations have been developed. 5,6 Unfortunately, the huge computational cost of such simulations makes it unrealistic to simulate tsunami waves from the source area to urban areas in 3D. Therefore, hybrid models represent an efficient and reasonable tool for simulating ocean wave propagation in 2D and modeling the target area with structures in 3D.…”

Section: Introductionmentioning

confidence: 99%

A two‐way coupling 2D‐3D hybrid finite element numerical model using overlapping method for tsunami simulation

Ling

Matsumoto

Kashiyama

2023

Numerical Methods in Fluids

View full text Add to dashboard Cite

This paper describes a 2D‐3D hybrid model for tsunami simulations that uses an overlapping method based on an arbitrary grid. A 2D model is used to simulate wave propagation from the source area to the offshore area, and a 3D model is then used to simulate the free surface flow around structures in coastal areas. An overlapping method that satisfies the conservation and compatibility conditions is developed to couple the two models. The shallow water equations are applied for the 2D model, and the Navier‐Stokes equations and continuity equations are applied for the flow field of the 3D model. The Allen‐Cahn equation is applied for the interface‐capturing method of the 3D model. The stabilized finite element method is applied for the spatial discretization and the Crank‐Nicolson method is used for the temporal discretization of the governing equations. The model is verified and validated through several numerical analysis examples.

show abstract

3D Tsunami Run-up Simulation and Visualization using Particle Method with Gis-Based Geography Model

Cited by 12 publications

References 5 publications

A two-way coupling 2D-3D hybrid finite element numerical model using overlapping method for tsunami simulation

A two-way coupling 2D-3D hybrid finite element numerical model using overlapping method for tsunami simulation

Interactive fluid flow simulation in computer graphics using incompressible smoothed particle hydrodynamics

A two‐way coupling 2D‐3D hybrid finite element numerical model using overlapping method for tsunami simulation

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