Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations
The lattice Boltzmann equation is commonly used to simulate fluids with isothermal equations of state in a weakly compressible limit, and intended to approximate solutions of the incompressible Navier-Stokes equations. Due to symmetry requirements there are usually snore degrees of freedom in the eq...
| Main Author: | |
|---|---|
| Format: | Conference item |
| Published: |
2006
|
| _version_ | 1826262235720187904 |
|---|---|
| author | Dellar, P |
| author_facet | Dellar, P |
| author_sort | Dellar, P |
| collection | OXFORD |
| description | The lattice Boltzmann equation is commonly used to simulate fluids with isothermal equations of state in a weakly compressible limit, and intended to approximate solutions of the incompressible Navier-Stokes equations. Due to symmetry requirements there are usually snore degrees of freedom in the equilibrium distributions than there are constraints imposed by the need to recover the Navier-Stokes equations in a slowly varying limit. We construct equilibria for general barotropic fluids, where pressure depends only upon density, using the two-dimensional, nine velocity (D2Q9) and one-dimensional, five velocity (D1Q5) lattices, showing that one otherwise arbitrary function in the equilibria must be chosen to suppress instability. (c) 2005 Elsevier B.V. All rights reserved. |
| first_indexed | 2024-03-06T19:33:11Z |
| format | Conference item |
| id | oxford-uuid:1e2983d8-1021-41fc-aeec-89196c5c25af |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:33:11Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:1e2983d8-1021-41fc-aeec-89196c5c25af2022-03-26T11:14:47ZNon-hydrodynamic modes and general equations of state in lattice Boltzmann equationsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:1e2983d8-1021-41fc-aeec-89196c5c25afSymplectic Elements at Oxford2006Dellar, PThe lattice Boltzmann equation is commonly used to simulate fluids with isothermal equations of state in a weakly compressible limit, and intended to approximate solutions of the incompressible Navier-Stokes equations. Due to symmetry requirements there are usually snore degrees of freedom in the equilibrium distributions than there are constraints imposed by the need to recover the Navier-Stokes equations in a slowly varying limit. We construct equilibria for general barotropic fluids, where pressure depends only upon density, using the two-dimensional, nine velocity (D2Q9) and one-dimensional, five velocity (D1Q5) lattices, showing that one otherwise arbitrary function in the equilibria must be chosen to suppress instability. (c) 2005 Elsevier B.V. All rights reserved. |
| spellingShingle | Dellar, P Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title | Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title_full | Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title_fullStr | Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title_full_unstemmed | Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title_short | Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations |
| title_sort | non hydrodynamic modes and general equations of state in lattice boltzmann equations |
| work_keys_str_mv | AT dellarp nonhydrodynamicmodesandgeneralequationsofstateinlatticeboltzmannequations |