This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/24254 in citations.
Please use the identifier: http://dx.doi.org/10.1016/j.camwa.2019.09.009 in citations.
A structured approach to the construction of stable linear Lattice Boltzmann collision operator
A structured approach to the construction of stable linear Lattice Boltzmann collision operator
We introduce a structured approach to the construction of linear BGK-type collision operators ensuring that the resulting Lattice-Boltzmann methods are stable with respect to a weighted L2-norm. The results hold for particular boundary conditions including periodic, bounce-back, and bounce-back with...
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Personal Name(s): | Otte, Philipp (Corresponding author) |
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Frank, Martin | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Computers & Mathematics with Applications Computers and mathematics with applications, 79 79 (2020 2020) 5 5, S. 1447-1460 1447-1460 |
Imprint: |
Oxford [u.a.]
Pergamon Press
2020
2020-03-01 2020-03-01 |
DOI: |
10.1016/j.camwa.2019.09.009 |
Document Type: |
Journal Article |
Research Program: |
ohne Topic |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1016/j.camwa.2019.09.009 in citations.
We introduce a structured approach to the construction of linear BGK-type collision operators ensuring that the resulting Lattice-Boltzmann methods are stable with respect to a weighted L2-norm. The results hold for particular boundary conditions including periodic, bounce-back, and bounce-back with flipping of sign boundary conditions. This construction uses the equivalent moment-space definition of BGK-type collision operators and the notion of stability structures as guiding principle for the choice of the equilibrium moments for those moments influencing the error term only but not the order of consistency. The presented structured approach is then applied to the 3D isothermal linearized Euler equations with non-vanishing background velocity. Finally, convergence results in the strong discrete L∞-norm highlight the suitability of the structured approach introduced in this manuscript. |