Numerical stability of entropic versus positivity-enforcing Lattice Boltzmann schemes
Numerical stability of entropic versus positivity-enforcing Lattice Boltzmann schemes
A preliminary study of the non-linear stability properties of entropic schemes versus positivity-enforcing (FIX-UP) schemes is presented for the case of two-dimensional cavity flow. It is shown that, although they operate on fairly distinct schedules, both methods achieve substantial stability enhancements over the standard single-time relaxation Lattice Boltzmann scheme.
lattice boltzmann scheme, entropic schemes, positivity-enforcing
227-231
Tosi, F.
2d43db50-1f64-47ea-b410-d552b945d477
Ubertini, S.
71ab9088-06d4-4293-966d-942aa75b36e6
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Chen, H.
d30e2017-5be4-4a58-aacd-13fec55ae5f2
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
9 September 2006
Tosi, F.
2d43db50-1f64-47ea-b410-d552b945d477
Ubertini, S.
71ab9088-06d4-4293-966d-942aa75b36e6
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Chen, H.
d30e2017-5be4-4a58-aacd-13fec55ae5f2
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Tosi, F., Ubertini, S., Succi, S., Chen, H. and Karlin, I.V.
(2006)
Numerical stability of entropic versus positivity-enforcing Lattice Boltzmann schemes.
Mathematics and Computers in Simulation, 72 (2-6), .
(doi:10.1016/j.matcom.2006.05.007).
Abstract
A preliminary study of the non-linear stability properties of entropic schemes versus positivity-enforcing (FIX-UP) schemes is presented for the case of two-dimensional cavity flow. It is shown that, although they operate on fairly distinct schedules, both methods achieve substantial stability enhancements over the standard single-time relaxation Lattice Boltzmann scheme.
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Published date: 9 September 2006
Keywords:
lattice boltzmann scheme, entropic schemes, positivity-enforcing
Identifiers
Local EPrints ID: 49246
URI: http://eprints.soton.ac.uk/id/eprint/49246
ISSN: 0378-4754
PURE UUID: a33bcc18-ea77-4b06-b4b9-167165ee6666
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Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54
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Contributors
Author:
F. Tosi
Author:
S. Ubertini
Author:
S. Succi
Author:
H. Chen
Author:
I.V. Karlin
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