23 citations · 27 across the 5 of their papers we have counts for
6 papers
High-order in-cell discontinuous reconstruction path-conservative methods for conservative systems in primitive variables
Ernesto Pimentel-García, Mario Ricchiuto, Carlos Parés
We present a path-conservative methodology for the numerical approximation of conservative systems formulated exclusively in primitive variables, the most physically relevant set o…
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, friction and gravity
Ernesto Pimentel-García, Lucas O. Müller, Carlos Parés
We present well-balanced, high-order, semi-discrete numerical schemes for one-dimensional blood flow models with discontinuous mechanical properties and algebraic source terms repr…
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems -- DR.MOOD generalization
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +1
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 noncon…
In-cell Discontinuous Reconstruction path-conservative methods for non conservative hyperbolic systems -- Second-order extension
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +2
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…
Steady States and Well-balanced Schemes for Shallow Water Moment Equations with Topography
Julian Koellermeier, Ernesto Pimentel-Garcia
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 lineariz…
A class of well-balanced algorithms for relativistic fluids on a Schwarzschild background
Philippe G. LeFloch, Carlos Parés, Ernesto Pimentel-García
For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms with first-order or se…