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Thomas Bellotti
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2020 – today
- 2024
- [j5]Thomas Bellotti:
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: Modified equations and discrete observability. J. Comput. Phys. 504: 112871 (2024) - [i10]Thomas Bellotti, Philippe Helluy, Laurent Navoret:
Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems. CoRR abs/2403.13406 (2024) - [i9]Thomas Bellotti:
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme. CoRR abs/2407.02009 (2024) - 2023
- [b1]Thomas Bellotti:
Numerical analysis of lattice Boltzmann schemes : from fundamental issues to efficient and accurate adaptive methods. (Analyse numérique des schémas de Boltzmann sur réseau : des questions fondamentales aux méthodes adaptatives efficientes et précises). Polytechnic Institute of Paris, Palaiseau, France, 2023 - [i8]Thomas Bellotti:
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability. CoRR abs/2302.07558 (2023) - [i7]Thomas Bellotti:
The influence of parasitic modes on "weakly" unstable multi-step Finite Difference schemes. CoRR abs/2312.14503 (2023) - 2022
- [j4]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. J. Comput. Phys. 471: 111670 (2022) - [j3]Thomas Bellotti, Benjamin Graille, Marc Massot:
Finite Difference formulation of any lattice Boltzmann scheme. Numerische Mathematik 152(1): 1-40 (2022) - [j2]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 44(4): 2599- (2022) - [i6]Thomas Bellotti, Benjamin Graille, Marc Massot:
Finite Difference formulation of any lattice Boltzmann scheme. CoRR abs/2201.05354 (2022) - [i5]Thomas Bellotti:
Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme. CoRR abs/2205.02505 (2022) - 2021
- [i4]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. CoRR abs/2102.12163 (2021) - [i3]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. CoRR abs/2103.02903 (2021) - [i2]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps? CoRR abs/2105.12609 (2021) - [i1]Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot:
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations. CoRR abs/2105.13816 (2021)
2010 – 2019
- 2019
- [j1]Thomas Bellotti, Maxime Theillard:
A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation. J. Comput. Phys. 392: 266-290 (2019)
Coauthor Index
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