35 citations · 86 across the 6 of their papers we have counts for
6 papers
Well-Balanced Schemes for Hyperbolic Kinetic Relaxation
León Ávila, Manuel Castro, Victor Michel-Dansac +1
This work presents a novel family of well-balanced numerical schemes for hyperbolic systems of balance laws based on the kinetic relaxation approach. The method begins by transform…
High-order well-balanced methods for systems of balance laws: a control-based approach
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés
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…
A well balanced finite volume scheme for general relativity
Elena Gaburro, Manuel J. Castro, Michael Dumbser
In this work we present a novel second order accurate well balanced (WB) finite volume (FV) scheme for the solution of the general relativistic magnetohydrodynamics (GRMHD) equatio…
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…
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy
José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis +1
We propose high-order well-balanced finite-volume schemes for a broad class of hydrodynamic systems with attractive-repulsive interaction forces and linear and nonlinear damping. O…
Reliability of first order numerical schemes for solving shallow water system over abrupt topography
T. Morales de Luna, M. J. Castro Díaz, C. Parés Madroñal
We compare some first order well-balanced numerical schemes for shallow water system with special interest in applications where there are abrupt variations of the topography. We s…