Manuel J. Castro
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View article: Rheology and bathymetry effects captured by a multilayer landslide-tsunami model
Rheology and bathymetry effects captured by a multilayer landslide-tsunami model Open
SUMMARY Numerical models are a powerful tool for understanding and predicting the impact of landslide-generated tsunamis. We use here the HySEA code which incorporates a multilayer structure and non-hydrostatic pressure to simulate the tsu…
View article: Convective Heat Transfer from a Circular Tube with Variable Dimple Dimension
Convective Heat Transfer from a Circular Tube with Variable Dimple Dimension Open
This paper provides an experimental study of forced convection heat transfer from water flow in a pipe that has a hemispherical dimple where the dimple is towards the inside of the pipe. The heat provided by the heating wire wrapped around…
View article: O ESTAGIO SUPERVISIONADO EM GESTAO EDUCACIONAL DO CURSO DE PEDAGOGIA DA UNIVERSIDADE DO ESTADO DO PARÁ: RELATOS DE EXPERIÊNCIA EM GESTAO EDUCACIONAL NO MUNICÍPIO DE MOJU PARÁ
O ESTAGIO SUPERVISIONADO EM GESTAO EDUCACIONAL DO CURSO DE PEDAGOGIA DA UNIVERSIDADE DO ESTADO DO PARÁ: RELATOS DE EXPERIÊNCIA EM GESTAO EDUCACIONAL NO MUNICÍPIO DE MOJU PARÁ Open
View article: Modeling and simulation of volcanic mass movements and induced tsunamis at Stromboli volcano (Aeolian archipelago, Tyrrhenian sea, Italy)
Modeling and simulation of volcanic mass movements and induced tsunamis at Stromboli volcano (Aeolian archipelago, Tyrrhenian sea, Italy) Open
Mass movements at Stromboli volcano (Aeolian islands, Italy) have the capability of generating tsunamis, potentially affecting not only the island shores, but the whole Aeolian archipelago and the Southern Tyrrhenian sea. Such mass movemen…
View article: Global stability of Wright-type equations with negative Schwarzian
Global stability of Wright-type equations with negative Schwarzian Open
Simplicity of the $37/24$-global stability criterion announced by E.M. Wright in 1955 and rigorously proved by B. Bánhelyi et al in 2014 for the delayed logistic equation raised the question of its possible extension for other population m…
View article: High-Order Well-Balanced Methods for the Euler Equations of Gas Dynamics with Gravitational Forces and the Ripa Model
High-Order Well-Balanced Methods for the Euler Equations of Gas Dynamics with Gravitational Forces and the Ripa Model Open
Different well-balanced high-order finite-volume numerical methods for the one-dimensional compressible Euler equations of gas dynamics with gravitational force and for the Ripa model have been proposed in the literature. Most of them pres…
View article: Boundary Treatment for High-Order IMEX Runge–Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs
Boundary Treatment for High-Order IMEX Runge–Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs Open
It includes supplementary materials
View article: Modeling sediment movement in the shallow-water framework: A morpho-hydrodynamic approach with numerical simulations and experimental validation
Modeling sediment movement in the shallow-water framework: A morpho-hydrodynamic approach with numerical simulations and experimental validation Open
View article: Boundary treatment for high-order IMEX Runge-Kutta local discontinuous Galerkin schemes for multidimensional nonlinear parabolic PDEs
Boundary treatment for high-order IMEX Runge-Kutta local discontinuous Galerkin schemes for multidimensional nonlinear parabolic PDEs Open
In this article, we propose novel boundary treatment algorithms to avoid order reduction when implicit-explicit Runge-Kutta time discretization is used for solving convection-diffusion-reaction problems with time-dependent Di\-richlet boun…
View article: A rockslide-generated tsunami in a Greenland fjord rang Earth for 9 days
A rockslide-generated tsunami in a Greenland fjord rang Earth for 9 days Open
Climate change is increasingly predisposing polar regions to large landslides. Tsunamigenic landslides have occurred recently in Greenland ( Kalaallit Nunaat ), but none have been reported from the eastern fjords. In September 2023, we det…
View article: Assessing the Optimal Tsunami Inundation Modeling Strategy for Large Earthquakes in Subduction Zones
Assessing the Optimal Tsunami Inundation Modeling Strategy for Large Earthquakes in Subduction Zones Open
Tsunamis are rare events involving several complex physical phenomena. Due to this complexity and the relative scarcity of observations, tsunami research makes extensive use of numerical simulations. For seismogenic tsunamis, the source is…
View article: Modelling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases
Modelling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases Open
The initial conditions for the simulation of a seismically induced tsunami for a rapid, assumed-to-be-instantaneous vertical seafloor displacement is given by the Kajiura low-pass filter integral. This work proposes a new, efficient, and a…
View article: High‐order in‐cell discontinuous reconstruction path‐conservative methods for nonconservative hyperbolic systems–DR.MOOD method
High‐order in‐cell discontinuous reconstruction path‐conservative methods for nonconservative hyperbolic systems–DR.MOOD method Open
In this work, we develop a new framework to deal numerically with discontinuous solutions in nonconservative hyperbolic systems. First an extension of the MOOD methodology to nonconservative systems based on Taylor expansions is presented.…
View article: A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System Open
Artículo en open access
View article: High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems -- DR.MOOD generalization
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems -- DR.MOOD generalization Open
In this work we develop a new framework to deal numerically with discontinuous solutions in nonconservative hyperbolic systems. First an extension of the MOOD methodology to nonconservative systems based on Taylor expansions is presented. …
View article: Supplementary material to "Modeling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases"
Supplementary material to "Modeling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases" Open
Unit tsunamigenic source: numerical solution in one dimension 1.1 Calculations for assessing the convergence of the model
View article: Modeling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases
Modeling tsunami initial conditions due to rapid coseismic seafloor displacement: efficient numerical integration and a tool to build unit source databases Open
The initial condition for the simulation of a seismically-induced tsunami for a rapid, assumed instantaneous, vertical seafloor displacement is given by the Kajiura low-pass filter integral. This work proposes a new efficient and accurate …
View article: Meteotsunami-HySEA: A GPU accelerated code for simulating atmospherically-driven tsunamis on real bathymetries. Benchmark tests.
Meteotsunami-HySEA: A GPU accelerated code for simulating atmospherically-driven tsunamis on real bathymetries. Benchmark tests. Open
Atmospherically-driven tsunamis or meteotsunamis are generated by atmospheric disturbances with steep gradients of pressure and/or wind. In recent years, meteotsunamis have received more attention from the tsunami modelling community. Alth…
View article: Modeling optimal initial conditions for propagation of seismotectonic tsunamis: a database of smoothed unit sources based on an efficient and accurate numerical integration
Modeling optimal initial conditions for propagation of seismotectonic tsunamis: a database of smoothed unit sources based on an efficient and accurate numerical integration Open
The initial conditions for the numerical simulation of a seismically-induced tsunami are modeled by transferring the impulse produced by the co-seismic seafloor deformation to the sea-surface. In this process, the water column acts as a hy…
View article: A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids
A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids Open
View article: On the relation between seismic source dynamics, tsunami generation and propagation, and numerical modelling complexity for large earthquakes in subduction zones
On the relation between seismic source dynamics, tsunami generation and propagation, and numerical modelling complexity for large earthquakes in subduction zones Open
Tsunamis are rare, destructive events, whose generation, propagation and coastal impact processes involve several complex physical phenomena. Most tsunami applications, like probabilistic tsunami hazard assessment, make extensive use of la…
View article: High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms
High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms Open
View article: Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance
Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance Open
View article: High-order well-balanced numerical schemes for shallow-water systems with Coriolis terms
High-order well-balanced numerical schemes for shallow-water systems with Coriolis terms Open
View article: Implicit Exactly Well-Balanced Finite Volume Schemes for Balance Laws with Singular Source Terms
Implicit Exactly Well-Balanced Finite Volume Schemes for Balance Laws with Singular Source Terms Open
View article: IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing
IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing Open
View article: A semi-implicit finite volume method for the Exner model of sediment transport
A semi-implicit finite volume method for the Exner model of sediment transport Open
The aim of this work is to construct efficient finite volume schemes for the numerical study of sediment transport in shallow water, in the framework of the Exner model [7], [10]. In most cases, the velocity related to the sediment is much…
View article: CICITLAC for the scientific and technological innovation in Latin America and the Caribbean
CICITLAC for the scientific and technological innovation in Latin America and the Caribbean Open
International Center for Innovation in Science and Technology for Latin America and the Caribbean (CICITLAC). A project in which its participants have been developing for more than two years. CICITLAC is the result of the laborious work of…
View article: Discussion on different numerical treatments on the loss of hyperbolicity for the two-layer shallow water system
Discussion on different numerical treatments on the loss of hyperbolicity for the two-layer shallow water system Open
International audience
View article: Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities
Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities Open