A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation. - Thomas Bellotti; Maxime Theillard (J. Comput. Phys., 2019)

Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps? - Thomas Bellotti; Loïc Gouarin; Benjamin Graille; Marc Massot (CoRR, 2021)

High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations. - Thomas Bellotti; Loïc Gouarin; Benjamin Graille; Marc Massot (CoRR, 2021)

Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme. - Thomas Bellotti (CoRR, 2022)

Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. - Thomas Bellotti; Loïc Gouarin; Benjamin Graille; Marc Massot (J. Comput. Phys., 2022)

Finite Difference formulation of any lattice Boltzmann scheme. - Thomas Bellotti; Benjamin Graille; Marc Massot (Numerische Mathematik, 2022)

Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws. - Thomas Bellotti; Loïc Gouarin; Benjamin Graille; Marc Massot (SIAM J. Sci. Comput., 2022)

The influence of parasitic modes on "weakly" unstable multi-step Finite Difference schemes. - Thomas Bellotti (CoRR, 2023)

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). - Thomas Bellotti (2023)

Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme. - Thomas Bellotti (CoRR, 2024)

Initialisation from lattice Boltzmann to multi-step Finite Difference methods: Modified equations and discrete observability. - Thomas Bellotti (J. Comput. Phys., 2024)

Fourth-Order Entropy-Stable Lattice Boltzmann Schemes for Hyperbolic Systems. - Thomas Bellotti; Philippe Helluy; Laurent Navoret (SIAM J. Sci. Comput., 2025)

Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law. - Denise Aregba-Driollet; Thomas Bellotti (CoRR, 2025)

Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes. - Denise Aregba-Driollet; Thomas Bellotti (CoRR, 2025)

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation. - Thomas Bellotti (CoRR, 2025)