2 papers
math.NA2021
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…
math.NA2017
Non-Hydrostatic Pressure Shallow Flows: GPU Implementation Using Finite Volume and Finite Difference Scheme
C. Escalante, T. Morales de Luna, M. J. Castro
We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume finite difference numerical…