Listar por autor "Parés-Madroñal, Carlos María"
Mostrando ítems 1-19 de 19
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A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background
LeFloch, Philippe G.; Parés-Madroñal, Carlos María
; Pimentel García, Ernesto (SPRINGER, 2021-08-16)
For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms up to third-order accuracy. We treat both the relativistic ... -
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 ... -
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 ... -
High-order Approximate Lax-Wendroff methods for systems of conservation laws
(UMA Editorial, 2021-01-26)En esta tesis se introduce una nueva familia de métodos de alto orden: Los métodos Aproximadores Compactos Taylor para leyes de conservación (CAT por sus siglas en ingles). En estos métodos numéricos el proceso de ... -
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties
Pimentel García, Ernesto; Müller, Lucas; Toro, Eleuterio F.; Parés-Madroñal, Carlos María (Elsevier, 2022-12-27)
In this paper, we are interested in the numerical study of the one-dimensional blood flow model with discontinuous mechanical and geometrical properties. We present the mathematical model together with its nondimensional ... -
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 ... -
High-order well-balanced methods for the Euler equations of gas dynamics with gravitational forces and the Ripa model
Gómez Bueno, Irene; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María (Springer Nature, 2025)
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. ... -
High-order WENO finite-difference methods for hyperbolic nonconservative systems of partial differential equations
Ren, Baifen; Parés-Madroñal, Carlos María (Elsevier, 2025-05-01)
This work aims to extend the well-known high-order WENO finite-difference methods for systems of conservation laws to nonconservative hyperbolic systems. The main difficulty of these systems both from the theoretical and ... -
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 ... -
Numerical analysis of some nonlinear hyperbolic systems of Partial Differential Equations arising from Fluid Mechanics
(UMA Editorial, 2021-11-10)En esta tesis se abordan cuatro problemas diferentes relacionados con el análisis numérico de sistemas de ecuaciones en derivadas parciales hiperbólicos no lineales. Estos problemas están relacionados con la resolución ... -
Números y Realidad. Utilizando las matemáticas para modelar nuestro entorno
Parés-Madroñal, Carlos María; González-Vida, José Manuel (UMA. SEDOC, 2009)
Unos de los secretos que esconde el cálculo de ecuaciones es la capacidad para diseñar planes de prevención antes catástrofes medioambientales. El grupo EDANYA ha elaborado un modelo de previsión para zonas de riesgo ... -
On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems
Pimentel García, Ernesto; Parés-Madroñal, Carlos María; Castro-Díaz, Manuel Jesús; Koellermeier, Julian (Elsevier, 2021-01-01)
Polynomial Viscosity Matrix (PVM) methods can be considered as approximations of the Roe method in which the absolute value of the Roe matrix appearing in the numerical viscosity is replaced by the evaluation of the Roe ... -
The Riemann problem for the shallow water equations with discontinuous topography: The wet–dry case
Parés-Madroñal, Carlos María; Pimentel García, Ernesto (Elsevier, 2019-02-01)
In this paper we consider Riemann problems for the shallow water equations with discontinuous topography whose initial conditions correspond to a wet–dry front: at time t=0 there is vacuum on the right or on the left of ... -
Well-balanced methods for compressible Euler equations with gravitational force that preserve transonic stationary solutions.
Gómez Bueno, Irene; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María (Springer, 2024-06-06)
In some previous works, the authors introduced a general methodology to design high-order well-balanced finite-volume methods for one-dimensional systems of balance laws based on the use of well-balanced state reconstructions. ... -
Well-balanced reconstruction operator for systems of balance laws: numerical implementation
Gómez Bueno, Irene; Castro-Díaz, Manuel Jesús; Parés-Madroñal, Carlos María (Sociedad Española de Matemática Aplicada, SEMA, 2021)