Work

Nonuniqueness of lattice Boltzmann schemes derived from finite difference methods

Year: 2024

Type: article

Abstract: Recently, the construction of finite difference schemes from lattice Boltzmann schemes has been rigorously analyzed [Bellotti et al. (2022), Numer. Math. 152, pp. 1–40]. It is thus known that any lattice Boltzmann scheme can be expressed in terms of a corresponding multi-step finite difference scheme on the conserved variables. In the present work, we provide counterexamples for the conjecture that any multi-step finite difference scheme has a unique lattice Boltzmann formulation. Based on that, we indicate the existence of equivalence classes for discretized relaxation systems.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2024.100171

Authors: Eliane Kummer, Stephan Simonis

Institution: Karlsruhe Institute of Technology

Language: English

Topic: Lattice Boltzmann Simulation Studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $330

Funders: Karlsruhe Institute of Technology, Karlsruhe House of Young Scientists