Listar por autor "Pimentel García, Ernesto"
Mostrando ítems 1-8 de 8
-
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 ... -
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 ... -
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 ... -
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 ... -
Steady states and well-balanced schemes for shallow water moment equations with topography
(Elsevier, 2022-08-15)In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a ... -
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 ...