Listar por autor "Pimentel García, Ernesto"
Mostrando ítems 1-4 de 4
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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 ... -
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 ... -
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 ...