29 citations · 68 across the 10 of their papers we have counts for
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Arbitrary order stationarity preserving stabilized finite elements for multidimensional nonlinear hyperbolic problems. Application to the Euler equations with gravity
Moussa Ziggaf, Davide Torlo, Mario Ricchiuto
We develop arbitrarily high-order, stationarity-preserving stabilized finite element methods for multidimensional nonlinear hyperbolic balance laws on Cartesian grids. We aim at ap…
Stationarity preserving nodal Finite Element methods for multi-dimensional linear hyperbolic balance laws via a Global Flux quadrature formulation
Wasilij Barsukow, Mario Ricchiuto, Davide Torlo
We consider linear, hyperbolic systems of balance laws in several space dimensions. They possess non-trivial steady states, which result from the equilibrium between derivatives of…
Genuinely multi-dimensional stationarity preserving Finite Volume formulation for nonlinear hyperbolic PDEs
Wasilij Barsukow, Mirco Ciallella, Mario Ricchiuto +1
Classical Finite Volume methods for multi-dimensional problems include stabilization (e.g.\ via a Riemann solver), that is derived by considering several one-dimensional problems i…
Structure preserving nodal continuous Finite Elements via Global Flux quadrature
Wasilij Barsukow, Mario Ricchiuto, Davide Torlo
Numerical methods for hyperbolic PDEs require stabilization. For linear acoustics, divergence-free vector fields should remain stationary, but classical Finite Difference methods a…
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
Mirco Ciallella, Davide Torlo, Mario Ricchiuto
In the context of preserving stationary states, e.g. lake at rest and moving equilibria, a new formulation of the shallow water system, called Flux Globalization has been introduce…
Model order reduction strategies for weakly dispersive waves
Davide Torlo, Mario Ricchiuto
We focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a lin…
Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes
Mario Ricchiuto, Davide Torlo
Testing the order of accuracy of (very) high order methods for shallow water (and Euler) equations is a delicate operation and the test cases are the crucial starting point of this…
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
Sixtine Michel, Davide Torlo, Mario Ricchiuto +1
We study continuous finite element dicretizations for one dimensional hyperbolic partial differential equations. The main contribution of the paper is to provide a fully discrete s…
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme
Remi Abgrall, Davide Torlo
In this short paper, we intend to describe one way to construct arbitrarily high order kinetic schemes on regular meshes. The method can be arbitrarily high order in space and time…
Asymptotic preserving Deferred Correction Residual Distribution schemes
Rémi Abgrall, Davide Torlo
This work aims to extend the residual distribution (RD) framework to stiff relaxation problems. The RD is a class of schemes which is used to solve hyperbolic system of partial dif…