Tsunami Wave Propagation

Androsov, Alexey; Harig, Sven; Fuchs, Annika; Immerz, Antonia; Rakowsky, Natalja; Hiller, Wolfgang; Danilov, Sergey

doi:10.5772/51340

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…The motion of the bubble wall accelerates the surrounding liquid, so that the wave propagates through a background medium of non-stationary and non-uniform velocity. For low Mach numbers, the local plane wave (LPW) approximation (Willatzen, 2001) or composite solutions (Androsov et al, 2013) can be employed to account for the background motion. 55)) at the moving boundary for β = 15.…”

Section: Prospective Future Extensionsmentioning

confidence: 99%

Explicit Predictor-Corrector Method for Nonlinear Acoustic Waves Excited by a Moving Wave Emitting Boundary

Schenke,

Sewerin,

van Wachem

et al. 2022

Preprint

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We present an explicit finite difference time domain method to solve the lossless Westervelt equation for a moving wave emitting boundary in one dimension and in spherical symmetry. The approach is based on a coordinate transformation between a moving physical domain and a fixed computational domain. This allows to simulate the combined effects of wave profile distortion due to the constitutive nonlinearity of the medium and the nonlinear Doppler modulation of a pressure wave due to the acceleration of the wave emitting boundary. A predictor-corrector method is employed to enhance the numerical stability of the method in the presence of shocks and grid motion. It is demonstrated that the method can accurately predict the Doppler shift of nonlinear wave distortion and the amplitude modulation caused by an oscillating motion of the wave emitting boundary. The novelty of the presented methodology lies in its capability to reflect the Doppler shift of the rate of nonlinear wave profile distortion and shock attenuation for finite amplitude acoustic waves emitted from an accelerating boundary.

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Section: Prospective Future Extensionsmentioning

confidence: 99%

Explicit Predictor-Corrector Method for Nonlinear Acoustic Waves Excited by a Moving Wave Emitting Boundary

Schenke,

Sewerin,

van Wachem

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…All these types of nonlinearity play different roles in wave propagation near and on the coast. As shown in the work of Androsov et al (2013), on a steep slope of the bottom when approaching the coast, the momentum advection plays a prominent role; in the shelf zones, there is already a nonlinearity in the continuity equation and, near the coast and on it, friction at the bottom (Ribal, 2008).…”

mentioning

confidence: 93%

Nonlinear processes in tsunami simulations for the Peruvian coast with focus on Lima/Callao

Androsov

Harig

Zamora

et al. 2023

Preprint

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Abstract. This investigation addresses the tsunami flooding in Lima and Callao caused by the massive 1746 earthquake (Mw 9.0) along the Peruvian coast. Numerical modelling of the tsunami flooding processes in the nearshore includes strong nonlinear numerical terms. In a comparative analysis of the calculation of the tsunami wave effect, two numerical codes are used, Tsunami-HySEA and TsunAWI, which both solve the shallow water (SW) equations but with different spatial approximations. The comparison primarily evaluates the flow velocity fields in flooded areas. The relative importance of the various parts of the SW equations is determined, focusing on the nonlinear terms. Particular attention is paid to the contribution of momentum advection, bottom friction, and volume conservation. The influence of the nonlinearity on the degree and volume of flooding, flow velocity and small-scale fluctuations is determined. The sensitivity of the solution with respect to the value of the bottom friction parameter is investigated as well.

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Nonlinear processes in tsunami simulations for the Peruvian coast with focus on Lima and Callao

Androsov,

Harig,

Zamora

et al. 2024

Nat. Hazards Earth Syst. Sci.

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Abstract. This investigation addresses the tsunami inundation in Lima and Callao caused by the massive 1746 earthquake (Mw 9.0) along the Peruvian coast. Numerical modeling of the tsunami inundation processes in the nearshore includes strong nonlinear numerical terms. In a comparative analysis of the calculation of the tsunami wave effect, two numerical codes are used, Tsunami-HySEA and TsunAWI, which both solve the shallow water (SW) equations but with different spatial approximations. The comparison primarily evaluates the flow velocity fields in inundated areas. The relative importance of the various parts of the SW equations is determined, focusing on the nonlinear terms. Particular attention is paid to the contribution of momentum advection, bottom friction, and volume conservation. The influence of the nonlinearity on the degree and volume of inundation, flow velocity, and small-scale fluctuations is determined. The sensitivity of the solution concerning the bottom friction parameter is also investigated, showing the effects of nonlinearity processes in the inundated areas, wave heights, current velocity, and the spatial structure variations shown in tsunami inundation maps.

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Tsunami Wave Propagation

Cited by 3 publications

References 25 publications

Explicit Predictor-Corrector Method for Nonlinear Acoustic Waves Excited by a Moving Wave Emitting Boundary

Explicit Predictor-Corrector Method for Nonlinear Acoustic Waves Excited by a Moving Wave Emitting Boundary

Nonlinear processes in tsunami simulations for the Peruvian coast with focus on Lima/Callao

Nonlinear processes in tsunami simulations for the Peruvian coast with focus on Lima and Callao

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