Lattice Boltzmann method for moving boundaries

By Pierre Lallemand, Li-Shi Luo. 2003

559 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/e439f5c014cd77dece8c0f99ccde23b96ebc80c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Li-Shi Luo
2. Manfred Krafczyk
3. Jonas Tölke
4. Renwei Mei
5. Cass T. Miller
6. Wei Shyy
7. Dazhi Yu
8. Chong Pan

In Electrical and Electronic Engineering

1. Li-Shi Luo
2. Manfred Krafczyk
3. Jonas Tölke
4. Renwei Mei
5. Wei Shyy
6. Dazhi Yu
7. Cass T. Miller
8. Chong Pan

Citations in the corpus

• Benchmark computations based on Lattice-Boltzmann, Finite Element and Finite Volume Methods for laminar Flows (2006, methodology): “As the benchmark problem discussed in the subsequent sections has also curved boundaries, we utilize the boundary conditions developed in [32,33] for velocity Dirichlet boundaries.”
• An evaluation of lattice Boltzmann schemes for porous medium flow simulation (2006, methodology): “For stability considerations, we limit ourselves to interpolations, including linear and quadratic interpolations proposed in [23, 26 ].”
• Lattice-Boltzmann simulations in reconstructed parametrized porous media (2006, methodology): “As we have arbitrarily shaped objects, we use the modified bounce back scheme developed in Bouzidi et al. (2001) and Lallemand and Luo (2003) for velocity boundary conditions, which is second-order accurate for arbitrarily shaped boundaries (figure 5).”
• Lattice‐Boltzmann simulation of two‐phase flow in porous media (2004, background): “…combines the bounce-back scheme and spatial interpolations of first or second order to realize the locations of boundaries with arbitrary curvatures, can be incorporated for further improvement of numerical stability and a more rapid convergence [Bouzidi et al., 2001; Lallemand and Luo, 2003].”
• Viscous flow computations with the method of lattice Boltzmann equation (2003, methodology): “The lattice Boltzmann method uses a uniform Cartesian mesh for such simulations, and the solid–fluid interfaces are usually handled by using the bounce-back scheme [176] combined with interpolations [88,89,96, 177–179].”