General characteristic-based algorithm for off-lattice Boltzmann simulationsA. Bardow1, I. V. Karlin2 and A. A. Gusev1
1 Institute of Polymers, Department of Materials, ETH Zurich 8093 Zurich, Switzerland
2 Institute of Energy Technology, Department of Mechanical and Process Engineering, ETH Zurich - 8092 Zurich, Switzerland
received 2 May 2006; accepted 20 June 2006
published online 5 July 2006
The Lattice Boltzmann method offers an appealing potential for simulation of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the applicability of the traditional Lattice Boltzmann method to uniform, regular lattices which is often disadvantageous in practice. Available off-lattice Boltzmann algorithms have stability problems which are to be handled at the expense of additional computational cost. Here, we propose and validate a general characteristic-based algorithm for off-lattice Boltzmann simulations that preserves all appealing properties of the standard Lattice Boltzmann method while extending the method to unstructured grids. Both, finite-element and finite-difference implementations of the algorithms are exemplified.
47.11.-j - Computational methods in fluid dynamics.
05.20.Dd - Kinetic theory.
© EDP Sciences 2006