TY - JOUR
T1 - Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows
AU - Lin , Yiwen
AU - Jin , Shi
JO - Communications in Computational Physics
VL - 2
SP - 319
EP - 347
PY - 2024
DA - 2024/09
SN - 36
DO - http://doi.org/10.4208/cicp.OA-2023-0298
UR - https://global-sci.org/intro/article_detail/cicp/23385.html
KW - Particulate flows, coupled kinetic-fluid model, Vlasov-Fokker-Planck-Navier-Stokes equations, asymptotic preserving schemes.
AB - <p style="text-align: justify;">We consider coupled models for particulate flows, where the disperse phase
is made of particles with distinct sizes. We are thus led to a system coupling the incompressible Navier-Stokes equations to the multi-component Vlasov-Fokker-Planck
equations. We design an asymptotic-preserving numerical scheme to approximate the
system. The scheme is based on suitable implicit treatment of the stiff drag force term
as well as the Fokker-Planck operator, and can be formally shown to capture the hydrodynamic limit with time step and mesh size independent of the Stokes number.
Numerical examples illustrate the accuracy and asymptotic behavior of the scheme,
with several interesting applications.</p>