Listar por autor "Castro-Díaz, Manuel Jesús"
Mostrando ítems 1-20 de 34
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2D GPU-based HySEA model for tsunami simulation. Some practical examples.
González-Vida, José Manuel
; Castro-Díaz, Manuel Jesús; Macías-Sánchez, Jorge; De la Asunción, Marc; Ortega, Sergio; Sánchez-Linares, Carlos[et al.] (2014-07-11)
A two-waves TVD-WAF type scheme for solving 2D shallow-water equation is considered together with a first and second order HLL scheme. Comparison among the different schemes will be performed to check the performance for ... -
A general vertical decomposition of Euler equations: Multilayer-moment models
Garres-Díaz, José; Escamilla-Sánchez, Alejandro; Morales-de-Luna, Tomás; Castro-Díaz, Manuel Jesús (Elsevier, 2022-09-13)
In this work, we present a general framework for vertical discretizations of Euler equations. It generalizes the usual moment and multilayer models and allows to obtain a family of multilayer-moment models. It considers a ... -
A HLLC scheme for Ripa model
Sánchez-Linares, Carlos; Morales de Luna, Tomás; Castro-Díaz, Manuel Jesús (Elsevier, 2016-01-01)
We consider the one-dimensional system of shallow-water equations with horizontal temperature gradients (the Ripa system). We derive a HLLC scheme for Ripa system which falls into the theory of path-conservative approximate ... -
A semi-implicit fully exactly well-balanced relaxation scheme for the shallow water system.
Caballero Cárdenas, Celia; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Morales-de-Luna, Tomás; Muñoz-Ruiz, María de la Luz (SIAM, 2024)
This article focuses on the design of semi-implicit schemes that are fully well-balanced for the one-dimensional shallow water equations, that is, schemes that preserve all smooth steady states of the system and not just ... -
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density
Guerrero Fernández, Ernesto; Castro-Díaz, Manuel Jesús; Dumbser, Michael; Morales-de-Luna, Tomás (Springer, 2021-12-17)
In this work, we present a novel numerical discretization of a variable pressure multilayer shallow water model. The model can be written as a hyperbolic PDE system and allows the simulation of density driven gravity ... -
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Gómez Bueno, Irene; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María; Russo, Giovanni (MPDI, 2021)
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutions. The basis of these methods is a ... -
Cuantificación de la incertidumbre en flujos geofísicos mediante el uso de esquemas de volúmenes finitos Monte Carlo multi-nivel
(UMA Editorial, 2018-07-02)Esta tesis doctoral se presenta como compendio de publicaciones fruto de años de investigación, y en ella se exponen los fundamentos teóricos necesarios para llevar a cabo la cuantificación de la incertidumbre en flujos ... -
Deslizamientos submarinos y tsunamis en el Mar de Alborán. Un ejemplo de modelización numérica
Macías-Sánchez, Jorge; Fernández-Salas, Luis Miguel; González-Vida, José Manuel; Vázquez, Juan Tomás; Castro-Díaz, Manuel Jesús; Bárcenas Gascón, Patricia; Díaz-Del-Río, Víctor; Morales-de-Luna, Tomás; De la Asunción, Marc; Parés-Madroñal, Carlos María[et al.] (Instituto Español de Oceanografía. Ministerio de Economía y Competitividad, 2012-12-20)
Texto científico de carácter divulgativo en el que se presenta un trabajo de modelado matemático y simulación numérica de un hipotético tsunami producido en el Mar de Alborán por un deslizamiento masivo de materiales en ... -
Esquemas de volúmenes finitos de alto orden: implementación en GPUs y aplicación a la simulación de flujos geofísicos
Ortega-Acosta, Sergio (Servicio de Publicaciones y Divulgación Científica, 2016)
En esta tesis doctoral se exponen los fundamentos teóricos necesarios en el diseño de esquemas numéricos de volúmenes finitos para sistemas hiperbólicos no conservativos de una y dos dimensiones. Para el caso unidimensional ... -
High order well balanced numerical methods for a multilayer shallow-water model with variable density
(UMA Editorial, 2022)En esta tesis se desarrollan algunas contribuciones novedosas en el marco de los modelos de aguas someras multicapas y en esquemas numéricos de alto orden bien equilibrados. En primer lugar, se deriva un modelo multicapa ... -
High-order in-cell discontinuous reconstruction path-conservative methods for nonconservative hyperbolic systems–DR.MOOD method
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Parés-Madroñal, Carlos María (Wiley, 2024)
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 ... -
High-order well-balanced finite volume methods for hyperbolic systems of balance laws
(UMA Editorial, 2023-03-03)Esta tesis, realizada por compendio de publicaciones, se sitúa en el contexto de la resolución numérica de sistemas hiperbólicos de leyes de equilibrio. Se consideran métodos de volúmenes finitos de alto orden basados en ... -
High-order well-balanced methods for systems of balance laws: a control-based approach
Gómez Bueno, Irene; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María (Elsevier, 2021)
In some previous works, two of the authors have introduced a strategy to develop high-order numerical methods for systems of balance laws that preserve all the stationary solutions of the system. The key ingredient of these ... -
HySEA model verification for Tohoku 2011 Tsunami. Application for mitigation tsunami assessment
Macías-Sánchez, Jorge; González-Vida, José Manuel; García, Javier; Castro-Díaz, Manuel Jesús; Ortega, Sergio; De la Asunción, Marc[et al.] (European Geosciences Union, 2015-04)
In many aspects Tohoku-Oki 2011 mega tsunami has changed our perception of tsunami risk. The tsunami-HySEA model is used to numerically simulate this event and observed data will we used to verify the model results. Three ... -
HySEA: An operational GPU-based model for Tsunami Early Warning Systems
Macías-Sánchez, Jorge; Castro-Díaz, Manuel Jesús; González-Vida, José Manuel; De la Asunción, Marc; Ortega, Sergio (EGU, 2014-04)
HySEA numerical model for the simulation of earthquake generated tsunamis is presented. The initial sea surface deformation is computed using Okada model. Wave propagation is computed using nonlinear shallow water equations ... -
Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system
Caballero-Cárdenas, C; Castro-Díaz, Manuel Jesús; Morales-de-Luna, Tomás (Elsevier, 2022-12-25)
In this paper we consider the Lagrange-Projection technique in the framework of finite volume schemes applied to the shallow water system. We shall consider two versions of the scheme for the Lagrangian step: one fully ... -
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
Gómez Bueno, Irene; Boscarino, S; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María; Russo, G (Elsevier, 2022-09-30)
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two of the authors in some previous papers ... -
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
Pimentel García, Ernesto; Castro-Díaz, Manuel Jesús; Chalons, Christophe; Morales-de-Luna, Tomás; Parés-Madroñal, Carlos María (Elsevier, 2022-06-15)
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell discontinuous reconstructions to deal with ... -
Mathematical and numerical modelling of dispersive water waves
Escamilla-Sánchez, Alejandro (UMA Editorial, 2018-11-14)
En esta tesis doctoral se expone en primer lugar una visión general del modelado de ondas dispersivas para la simulación de procesos tsunami-génicos. Se deduce un nuevo sistema bicapa con propiedades de dispersión mejoradas ...