@Article{CiCP-33-101, author = {Klass , FriedemannGabbana , Alessandro and Bartel , Andreas}, title = {A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {101--117}, abstract = {
We present the development of a non-reflecting boundary condition, based
on the Local One-Dimensional Inviscid (LODI) approach, for Lattice Boltzmann Models working with multi-speed stencils.
We test and evaluate the LODI implementation with numerical benchmarks, showing significant accuracy gains with respect to the results produced by a simple zero-gradient condition. We also implement a simplified approach, which allows handling
the unknown distribution functions spanning several layers of nodes in a unified way,
still preserving a comparable level of accuracy with respect to the standard formulation.