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02/15/2023
Initialisation from lattice Boltzmann to multi-step Finite Difference methods: modified equations and discrete observability
Latitude on the choice of initialisation is a shared feature between one...
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05/05/2022
Rigorous derivation of the macroscopic equations for the lattice Boltzmann method via the corresponding Finite Difference scheme
Lattice Boltzmann schemes are efficient numerical methods to solve a bro...
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01/14/2022
Finite Difference formulation of any lattice Boltzmann scheme
Lattice Boltzmann schemes rely on the enlargement of the size of the tar...
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05/28/2021
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
Multiresolution provides a fundamental tool based on the wavelet theory ...
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05/26/2021
Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?
We consider an adaptive multiresolution-based lattice Boltzmann scheme, ...
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03/04/2021
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
Lattice-Boltzmann methods are known for their simplicity, efficiency and...
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02/24/2021