High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations

Author:

Bellotti Thomas,Gouarin Loïc,Graille Benjamin,Massot Marc

Publisher

Cellule MathDoc/CEDRAM

Subject

Computational Mathematics,Modeling and Simulation,Numerical Analysis,Statistics and Probability

Reference29 articles.

1. [1] Abramowitz, Milton; Stegun, Irene A. Handbook of mathematical functions with formulas, graphs, and mathematical tables, 55, US Government printing office, 1964

2. [2] Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps? (2021) (To appear in C. R. Math. Acad. Sci. Paris, https://hal.archives-ouvertes.fr/hal-03235133, https://arxiv.org/abs/2105.13816)

3. [3] Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis (2021) (To appear in J. Comput. Phys., https://hal.archives-ouvertes.fr/hal-03158073, https://arxiv.org/abs/2103.02903)

4. Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws;Bellotti, Thomas;SIAM J. Sci. Comput.,2022

5. Multiresolution schemes for the numerical solution of 2-D conservation laws I;Bihari, Barna L.;SIAM J. Sci. Comput.,1997

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