27 citations · 96 across the 15 of their papers we have counts for
17 papers
Generalized high-order minimization-based polynomial corrections on unfitted spectral elements for the Poisson problem
Mirco Ciallella, Jens Visbech
Higher-order finite element methods are effective for solving partial differential equations. However, applying them in complex curved domains is often difficult due to challenges…
Minimization-based polynomial corrections for high-order curved boundaries on fixed and moving domains: assessment on finite volume and discontinuous Galerkin schemes
Mirco Ciallella, Walter Boscheri
In this work, we present two novel strategies to impose high-order boundary conditions on fixed and moving curved domains, approximated with piecewise affine triangulations. Achiev…
Minimization-based embedded boundary methods as polynomial corrections: a stability study of discontinuous Galerkin for hyperbolic equations
Mirco Ciallella
This work establishes a novel, unified theoretical framework for a class of high order embedded boundary methods, revealing that the Reconstruction for Off-site Data (ROD) treatmen…
Stability analysis of discontinuous Galerkin with a high order embedded boundary treatment for linear hyperbolic equations
Mirco Ciallella
Embedded, or immersed, approaches have the goal of reducing to the minimum the computational costs associated with the generation of body-fitted meshes by only employing fixed, pos…
High order global flux schemes for general steady state preservation of shallow water moment equations with non-conservative products
Mirco Ciallella, Julian Koellermeier
Shallow water moment equations are reduced-order models for free-surface flows that allow to represent vertical variations of the velocity profile at the expense of additional evol…
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…
High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomials correction
Walter Boscheri, Mirco Ciallella
In this paper we present a novel approach for the prescription of high order boundary conditions when approximating the solution of the Euler equations for compressible gas dynamic…
Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri +1
We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors,…
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations
Mirco Ciallella, Lorenzo Micalizzi, Victor Michel-Dansac +2
In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inh…
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data
Mirco Ciallella, Stephane Clain, Elena Gaburro +1
In this paper we present a novel approach for the design of high order general boundary conditions when approximating solutions of the Euler equations on domains with curved bounda…
Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes
Mirco Ciallella, Thomas Milcent
In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In o…
Fully Eulerian models for the numerical simulation of capsules with an elastic bulk nucleus
Florian Desmons, Thomas Milcent, Anne-Virginie Salsac +1
In this paper, we present a computational framework based on fully Eulerian models for fluid-structure interaction for the numerical simulation of biological capsules. The flexibil…
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
Mirco Ciallella, Elena Gaburro, Marco Lorini +1
In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Diri…
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…
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner +1
In this paper, we develop and present an arbitrary high order well-balanced finite volume WENO method combined with the modified Patankar Deferred Correction (mPDeC) time integrati…
Extrapolated DIscontinuity Tracking for complex 2D shock interactions
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri +1
A new shock-tracking technique that avoids re-meshing the computational grid around the moving shock-front was recently proposed by the authors (Ciallella et al., 2020). The method…
UnDiFi-2D: an Unstructured Discontinuity Fitting code for 2D grids
L. Campoli, A. Assonitis, M. Ciallella +3
UnDiFi-2D, an open source (free software) Unstructured-grid, Discontinuity Fitting code, is presented. The aim of UnDiFi-2D is to model gas-dynamic discontinuities in two-dimension…