Hybrid finite volume – finite difference scheme for 2DH improved Boussinesq equations

By M. Tonelli, M. Petti. 2009

180 citations recorded by the source corpus.

Subfields: Atmospheric Science, Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/0e183251e837843b5f110d2c5e744a29b356e5d3

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In Atmospheric Science

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In Oceanography

Citations in the corpus

Dispersive tsunami waves in the ocean: Model equations and sensitivity to dispersion and Coriolis effects (2013, methodology): “…wave models using a combined finite-volume and finite-difference TVD schemes has shown robust performance of the shock-capturing method in simulating breaking waves and coastal inundation (Tonelli and Petti, 2009; Roeber et al., 2010; Shiach and Mingham, 2009; Erduran et al., 2005, and others).”
A high-order adaptive time-stepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation (2012, methodology): “The wave breaking scheme follows the approach of Tonelli and Petti (2009), who successfully used the ability of NSWE with a TVD scheme to model moving hydraulic jumps. Thus, the fully nonlinear Boussinesq equations are switched to NSWE at cells where the Froude number exceeds a certain threshold. Fo”
A new approach to handle wave breaking in fully non-linear Boussinesq models (2012, methodology): “…wave breaking with this kind of models is to estimate the breaking point location and subsequently divide the numerical domain spatially into pre- and post- breaking areas, respectively governed by BT and NSW equations (e.g. Shi et al., 2012; Tonelli and Petti, 2009, 2010; Weston et al., 2003).”
Numerical Simulation of the 2011 Tohoku Tsunami Based on a New Transient FEM Co-seismic Source: Comparison to Far- and Near-Field Observations (2013, methodology): “Following earlier work by ERDURAN et al. (2005) and TONELLI and PETTI (2009), the code employs a hybrid numerical scheme, which uses a MUSCL-TVD finite volume formulation for the underlying NSW equations (YAMAMOTO et al. 1998; ERDURAN et al. 2005), together with a finite difference treatment of…”