Finite Difference formulation of any lattice Boltzmann scheme T Bellotti, B Graille, M Massot Numerische Mathematik 152 (1), 1-40, 2022 | 23 | 2022 |
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 | 22 | 2019 |
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 | 12 | 2023 |
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 | 11 | 2022 |
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 | 10 | 2022 |
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 | 6 | 2021 |
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability T Bellotti Journal of Computational Physics, 112871, 2024 | 4 | 2024 |
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 | 4 | 2022 |
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 | 3 | 2022 |
The influence of parasitic modes on" weakly''unstable multi-step Finite Difference schemes T Bellotti arXiv preprint arXiv:2312.14503, 2023 | 1 | 2023 |
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 | 1 | 2023 |
Numerical analysis of lattice Boltzmann schemes: from fundamental issues to efficient and accurate adaptive methods T Bellotti Institut Polytechnique de Paris, 2023 | 1 | 2023 |
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 | | |