Eulerian description of high-order bounce-back scheme for lattice Boltzmann equation with curved boundary.
We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time-marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when second-order accuracy in time and space is desired, although high-order accurate boundary conditions can be constructed on more grid-point support. The Eulerian description also provides an analytical framework for several different interpolation-based boundary conditions. For instance, the semi-Lagrangian, linear interpolation boundary condition is found to be a first-order upwind discretization that changes the time-marching schemes from implicit to explicit as the distance between the fluid boundary node and the solid boundary increases.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- SC; City Univ. of New York
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 957387
- Report Number(s):
- ANL/MCS/JA-62150
- Journal Information:
- Eur. J. Phys., Journal Name: Eur. J. Phys. Journal Issue: 1 ; Apr. 2009 Vol. 171; ISSN 0143-0807; ISSN EJPHD4
- Country of Publication:
- United States
- Language:
- ENGLISH
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