1 citations · 1 across the 7 of their papers we have counts for
7 papers
New Adaptive Numerical Methods Based on Dual Formulation of Hyperbolic Conservation Laws
Alina Chertock, Qingcheng Fu, Alexander Kurganov +1
In this paper, we propose an adaptive high-order method for hyperbolic systems of conservation laws. The proposed method is based on a dual formulation approach: Two numerical solu…
FORCE- Numerical Fluxes within the Arbitrary High Order Semidiscrete WENO-DeC Framework: A Competitive Alternative to Upwind Fluxes
Lorenzo Micalizzi, Eleuterio Toro
This work systematically investigates the performance of FORCE-- numerical fluxes within an arbitrary high order semidiscrete finite volume (FV) framework for hyperbolic partial…
New Smoothness Indicator Within an Active Flux Framework
Alina Chertock, Alexander Kurganov, Lorenzo Micalizzi
In this work, we introduce a new smoothness indicator (SI), which is capable of detecting ``rough'' parts of the solutions computed by active flux (AF) methods for hyperbolic (syst…
Dual Formulation Finite-Volume Methods on Overlapping Meshes for Hyperbolic Conservation Laws
Rémi Abgrall, Alina Chertock, Alexander Kurganov +1
In this work, we introduce new second-order schemes for one- and two-dimensional hyperbolic systems of conservation laws. Following an approach recently proposed in [{\sc R. Abgral…
Algorithms of very high space-time orders of accuracy for hyperbolic equations in the semidiscrete WENO-DeC framework
Lorenzo Micalizzi, Eleuterio F. Toro
In this work, we provide a deep investigation of a family of arbitrary high order numerical methods for hyperbolic partial differential equations (PDEs), with particular emphasis o…
Impact of Numerical Fluxes on High Order Semidiscrete WENO-DeC Finite Volume Schemes
Lorenzo Micalizzi, Eleuterio F. Toro
The numerical flux determines the performance of numerical methods for solving hyperbolic partial differential equations (PDEs). In this work, we compare a selection of 8 numerical…
Novel well-balanced continuous interior penalty stabilizations
Lorenzo Micalizzi, Mario Ricchiuto, Rémi Abgrall
In this work, the high order accuracy and the well-balanced (WB) properties of some novel continuous interior penalty (CIP) stabilizations for the Shallow Water (SW) equations are…