TY - JOUR
T1 - A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods
AU - Klass, Friedemann
AU - Gabbana, Alessandro
AU - Bartel, Andreas
N1 - Publisher Copyright:
©2023 Global-Science Press.
PY - 2023/1/1
Y1 - 2023/1/1
N2 - 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.
AB - 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.
KW - Characteristic boundary condition
KW - lattice Boltzmann method
KW - local one-dimensional inviscid boundary conditions
KW - multispeed high order models
KW - non-reflective boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85150705426&partnerID=8YFLogxK
U2 - 10.4208/cicp.OA-2022-0052
DO - 10.4208/cicp.OA-2022-0052
M3 - Article
AN - SCOPUS:85150705426
SN - 1815-2406
VL - 33
SP - 101
EP - 117
JO - Communications in Computational Physics
JF - Communications in Computational Physics
IS - 1
ER -