Transient Propagation and Scattering of Quasi-Rayleigh Waves in Plates: Quantitative comparison between Pulsed TV-Holography Measurements and FC(Gram) elastodynamic simulations

Amlani, Faisal; Bruno, Oscar P.; Vázquez, José Carlos López; Trillo, Cristina; Doval, Ángel F.; Fernández, José Luis Soengas; Rodríguez-Gómez, Pablo

doi:10.48550/arxiv.1905.05289

Cited by 2 publications

(2 citation statements)

References 48 publications

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“…The final full solver enables highorder accuracy and nearly dispersionless resolution of propagating waves with mild, linear Courant-Friedrichs-Lewy constraints on the temporal discretization-properties that are important for adequate resolution of the different spatial and temporal scales involved between the supershear source dynamics and the subsequent tsunami dynamics. Both implicit and explicit FC-based partial differential equation solvers have been successfully constructed and utilized for a variety of physical problems including those governed by radiative transfer equations (Gaggioli et al 2019), classical wave and diffusion equations (Lyon & Bruno 2010;Bruno & Prieto 2014), Euler equations (Shahbazi et al 2013), convection-diffusion equations (Amlani et al 2021), Navier-Cauchy elastodynamics equations (Amlani & Bruno 2016;Amlani et al 2019), Navier-Stokes fluid equations (Albin & Bruno 2011;Bruno et al 2019;Fontana et al 2020) and fluid-structure hemodynamics equations (Amlani & Pahlevan 2020).…”

Section: Pseudospectral Numerical Analysis Based On Fourier Continuationmentioning

confidence: 99%

Supershear shock front contribution to the tsunami from the 2018 Mw 7.5 Palu, Indonesia earthquake

Amlani

Bhat

Simons

et al. 2022

Geophysical Journal International

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SUMMARY Hazardous tsunamis are known to be generated predominantly at subduction zones. However, the 2018 Mw 7.5 Palu (Indonesia) earthquake on a strike-slip fault generated a tsunami that devastated the city of Palu. The mechanism by which this tsunami originated from such an earthquake is being debated. Here we present near-field ground motion (GPS) data confirming that the earthquake attained supershear speed, i.e. a rupture speed greater than the shear wave speed of the host medium. We subsequently study the effect of this supershear rupture on tsunami generation by coupling the ground motion to a 1-D non-linear shallow-water wave model accounting for both time-dependent bathymetric displacement and velocity. With the local bathymetric profile of Palu bay around a tidal station, our simulations reproduce the tsunami arrival and motions observed by CCTV cameras. We conclude that Mach (shock) fronts, generated by the supershear speed, interacted with the bathymetry and contributed to the tsunami.

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Section: Pseudospectral Numerical Analysis Based On Fourier Continuationmentioning

confidence: 99%

Supershear shock front contribution to the tsunami from the 2018 Mw 7.5 Palu, Indonesia earthquake

Amlani

Bhat

Simons

et al. 2022

Geophysical Journal International

Self Cite

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“…PDE solvers based on such an approach maintain the desirable qualities of spectrally-accurate numerical solvers for time-dependent systems: they can produce accurate solutions by means of relatively coarse discretizations and, importantly, they carry minimal numerical diffusion or dispersion errors (manifesting as artificial amplitude decay or period elongation). FC-based PDE solvers have been successfully constructed for a variety of physical equations including classical wave equations [17,18], non-linear Burgers systems [19], Euler equations [20,21], Navier-Stokes equations [22,23,24], radiative transfer equations [25], Navier elastodynamics equations [26,27] and 1D fluid-structure hemodynamics equations [28]. The numerical methodology introduced in this work represents a fully-realized 3D convection-diffusion solver based on this Fast Fourier Transform (FFT)-speed Fourier continuation approximation procedure for both Dirichlet and Neumann boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A new pseudo-spectral methodology without numerical diffusion for conducting dye simulations and particle residence time calculations

Amlani¹,

Wei²,

Pahlevan³

2021

Preprint

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Dye experimentation is a widely used method in experimental fluid mechanics for flow analysis or for the study of the transport of particles within a fluid. This technique is particularly useful in biomedical diagnostic applications ranging from hemodynamic analysis of cardiovascular systems to ocular circulation.However, simulating dyes governed by convection-diffusion partial differential equations (PDEs) can also be a useful post-processing analysis approach for computational fluid dynamics (CFD) applications. Such simulations can be used to identify the relative significance of different spatial subregions in particular time intervals of interest in an unsteady flow field. Additionally, dye evolution is closely related to non-discrete particle residence time (PRT) calculations that are governed by similar PDEs. PRT is a widely used metric for various fluid dynamics applications (e.g., environmental fluids, biological flows) and is a well-accepted biomarker for cardiovascular diseases since it is linked to thrombus formation. This contribution introduces a pseudo-spectral method based on Fourier continuation (FC) for conducting dye simulations and non-discrete particle residence time calculations without numerical diffusion errors. Convergence and error analyses are performed with both manufactured and analytical solutions. The methodology is applied to three distinct physical/physiological cases: 1) flow over a two-dimensional (2D) cavity; 2) pulsatile flow in a simplified partially-grafted aortic dissection model; and 3) non-Newtonian blood flow in a Fontan graft. Although velocity data is provided in this work by numerical simulation, the proposed approach can also be applied to velocity data collected through experimental techniques such as from particle image velocimetry.

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Transient Propagation and Scattering of Quasi-Rayleigh Waves in Plates: Quantitative comparison between Pulsed TV-Holography Measurements and FC(Gram) elastodynamic simulations

Cited by 2 publications

References 48 publications

Supershear shock front contribution to the tsunami from the 2018 Mw 7.5 Palu, Indonesia earthquake

Supershear shock front contribution to the tsunami from the 2018 Mw 7.5 Palu, Indonesia earthquake

A new pseudo-spectral methodology without numerical diffusion for conducting dye simulations and particle residence time calculations

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