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Thomas Bellotti
Thomas Bellotti
Post-doctoral researcher, Université de Strasbourg
Adresse e-mail validée de math.unistra.fr - Page d'accueil
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Année
Finite Difference formulation of any lattice Boltzmann scheme
T Bellotti, B Graille, M Massot
Numerische Mathematik 152 (1), 1-40, 2022
222022
A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation
T Bellotti, M Theillard
Journal of Computational Physics 392, 266-290, 2019
222019
Truncation errors and modified equations for the lattice Boltzmann method via the corresponding Finite Difference schemes
T Bellotti
ESAIM: Mathematical Modelling and Numerical Analysis 57 (3), 1225-1255, 2023
112023
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
T Bellotti, L Gouarin, B Graille, M Massot
Journal of Computational Physics 471, 111670, 2022
112022
Multiresolution-based mesh adaptation and error control for lattice boltzmann methods with applications to hyperbolic conservation laws
T Bellotti, L Gouarin, B Graille, M Massot
SIAM Journal on Scientific Computing 44 (4), A2599-A2627, 2022
102022
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
T Bellotti, L Gouarin, B Graille, M Massot
arXiv preprint arXiv:2105.13816, 2021
62021
Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme
T Bellotti
arXiv preprint arXiv:2205.02505, 2022
42022
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability
T Bellotti
Journal of Computational Physics, 112871, 2024
32024
Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?
T Bellotti, L Gouarin, B Graille, M Massot
Comptes Rendus. Mathématique 360 (G7), 761-769, 2022
32022
The influence of parasitic modes on" weakly''unstable multi-step Finite Difference schemes
T Bellotti
arXiv preprint arXiv:2312.14503, 2023
12023
Monotonicity for genuinely multi-step methods: Results and issues from a simple lattice boltzmann scheme
T Bellotti
International Conference on Finite Volumes for Complex Applications, 33-41, 2023
12023
Numerical analysis of lattice Boltzmann schemes: from fundamental issues to efficient and accurate adaptive methods
T Bellotti
Institut Polytechnique de Paris, 2023
12023
The influence of parasitic modes on stable lattice Boltzmann schemes and weakly unstable multi-step Finite Difference schemes
T Bellotti
2024
Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems
T Bellotti, P Helluy, L Navoret
arXiv preprint arXiv:2403.13406, 2024
2024
Analyse numérique des schémas de Boltzmann sur réseau: des questions fondamentales aux méthodes adaptatives efficientes et précises
T Bellotti
2023
samurai
T Bellotti, L Gouarin, M Massot, P Matalon
2023
A framework for adaptive multiresolution lattice Boltzmann methods with applications to the numerical simulation of hyperbolic conservation laws
T Bellotti
Politecnico di Milano, 2018
2018
Comptes Rendus Mathématique
T Bellotti, L Gouarin, B Graille, M Massot
SUPPLEMENTARY MATERIAL MULTIRESOLUTION-BASED MESH ADAPTATION AND ERROR CONTROL FOR LATTICE BOLTZMANN METHODS WITH APPLICATIONS TO HYPERBOLIC CONSERVATION LAWS
T BELLOTTI, L GOUARIN, B GRAILLE, M MASSOT
SUPPLEMENTARY MATERIALS: FINITE DIFFERENCE FORMULATION OF ANY LATTICE BOLTZMANN SCHEME
T BELLOTTI, B GRAILLE, M MASSOT
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