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07/19/2023
Novel well-balanced continuous interior penalty stabilizations
In this work, in a monodimensional setting, the high order accuracy and ...
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04/18/2023
A personal discussion on conservation, and how to formulate it
Since the celebrated theorem of Lax and Wendroff, we know a necessary co...
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04/16/2023
A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations
In this paper, we introduce a new approach for constructing robust well-...
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04/16/2023
An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic
We present a class of arbitrarily high order fully explicit kinetic nume...
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03/29/2023
A Monte-Carlo ab-initio algorithm for the multiscale simulation of compressible multiphase flows
We propose a novel Monte-Carlo based ab-initio algorithm for directly co...
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12/21/2022
A Posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids
We present the two-dimensional unstructured grids extension of the a pos...
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11/04/2022
Evaluating a distance function
Computing the distance function to some surface or line is a problem tha...
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08/30/2022
A hybrid finite element - finite volume method for conservation laws
We propose an arbitrarily high-order accurate numerical method for conse...
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08/30/2022
Extensions of Active Flux to arbitrary order of accuracy
Active Flux is a recently developed numerical method for hyperbolic cons...
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07/25/2022
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions
In this work, we prove the convergence of residual distribution schemes ...
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06/13/2022
Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping
In this work we study various continuous finite element discretization f...
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04/03/2022
On the discrete equation model for compressible multiphase fluid flows
The modeling of multi-phase flow is very challenging, given the range of...
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03/21/2022
A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model
In this work, we propose an accurate, robust, and stable discretization ...
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01/12/2022
Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
We are interested in building schemes for the compressible Euler equatio...
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11/20/2021
Staggered Residual Distribution scheme for compressible flow
This paper is focused on the approximation of the Euler equation of comp...
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09/17/2021
Hyperbolic balance laws: residual distribution, local and global fluxes
This paper describes a class of scheme named "residual distribution sche...
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07/26/2021
A pressure-based method for weakly compressible two-phase flows under a Baer-Nunziato type model with generic equations of state and pressure and velocity disequilibrium
Within the framework of diffuse interface methods, we derive a pressure-...
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06/09/2021
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes
In [1] is proposed a simplified DeC method, that, when combined with the...
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05/26/2021
Assessment of a non-conservative four-equation multiphase system with phase transition
This work focuses on the formulation of a four-equation model for simula...
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04/14/2021
High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems
In this paper, we develop a high order residual distribution (RD) method...
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03/30/2021
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
We study continuous finite element dicretizations for one dimensional hy...
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03/17/2021
THINC scaling method that bridges VOF and level set schemes
We present a novel interface-capturing scheme, THINC-scaling, to unify t...
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11/25/2020
A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application
We show how to combine in a natural way (i.e. without any test nor switc...
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06/02/2020
On the simulation of multicomponent and multiphase compressible flows
The following paper presents two simulation strategies for compressible ...
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12/19/2019
Neural network based limiter with transfer learning
A neural network is trained using simulation data from a Runge Kutta dis...
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12/18/2019
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability
In the research community, there exists the strong belief that a continu...
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12/17/2019
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear problems
A pure Galerkin scheme is notoriously unstable. To remedy this issue, st...
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11/01/2019
Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator
We present a novel pressure-based method for weakly compressible multiph...
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10/14/2019
General polytopial H(div) conformal finite elements and their discretisation spaces
We present a class of discretisation spaces and H(div)-conformal element...
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08/13/2019
Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes
For the general class of residual distribution (RD) schemes, including m...
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07/19/2019
A class of finite dimensional spaces and H(div) conformal elements on general polytopes
We present a class of discretisation spaces and H(div)-conformal element...
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03/15/2018
