Smoothed profile method for particulate flows: Error analysis and simulations Export

@article{citeulike:3751678, abstract = {We re-formulate and analyze a new method for particulate flows, the so-called ” smoothed profile” method (SPM) first proposed in [Y. Nakayama, R. Yamamoto, Simulation method to resolve hydrodynamic interactions in colloidal dispersions, Phys. Rev. E 71 (2005) 036707], which uses a fixed computational mesh without conformation to the geometry of the particles. The method represents the particles by certain smoothed profiles to construct a body force term added into the Navier–Stokes equations. SPM imposes accurately and efficiently the proper conditions at the particle–fluid interface. In particular, while the original method employs a fully-explicit time-integration scheme we develop a high-order semi-implicit splitting scheme, which we implement in the context of spectral/ hp element discretization. First, we show that the modeling error of SPM has a non-monotonic dependence on the time step size Δ t ; it is a function of inlMMLBox , where ν is the kinematic viscosity of fluid and ξ is the interface thickness of the smoothed profile. Subsequently, we present several steady and unsteady simulations, including flow past 3D complex-shaped particles, and compare against direct numerical simulations and the force coupling method (FCM).}, author = {Luo, X. and Maxey, M. and Karniadakis, G.}, citeulike-article-id = {3751678}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jcp.2008.11.006}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0021999108005925}, day = {20}, doi = {10.1016/j.jcp.2008.11.006}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {colloid, numerical\_simulation}, month = {March}, number = {5}, pages = {1750--1769}, posted-at = {2009-04-01 17:40:23}, priority = {2}, title = {Smoothed profile method for particulate flows: Error analysis and simulations}, url = {http://dx.doi.org/10.1016/j.jcp.2008.11.006}, volume = {228}, year = {2009} }

TY - JOUR ID - citeulike:3751678 L3 - citeulike-article-id:3751678 N2 - We re-formulate and analyze a new method for particulate flows, the so-called “smoothed profile” method (SPM) first proposed in [Y. Nakayama, R. Yamamoto, Simulation method to resolve hydrodynamic interactions in colloidal dispersions, Phys. Rev. E 71 (2005) 036707], which uses a fixed computational mesh without conformation to the geometry of the particles. The method represents the particles by certain smoothed profiles to construct a body force term added into the Navier–Stokes equations. SPM imposes accurately and efficiently the proper conditions at the particle–fluid interface. In particular, while the original method employs a fully-explicit time-integration scheme we develop a high-order semi-implicit splitting scheme, which we implement in the context of spectral/ hp element discretization. First, we show that the modeling error of SPM has a non-monotonic dependence on the time step size Δ t ; it is a function of inlMMLBox , where ν is the kinematic viscosity of fluid and ξ is the interface thickness of the smoothed profile. Subsequently, we present several steady and unsteady simulations, including flow past 3D complex-shaped particles, and compare against direct numerical simulations and the force coupling method (FCM). IS - 5 JF - Journal of Computational Physics SN - 00219991 EP - 1769 TI - Smoothed profile method for particulate flows: Error analysis and simulations VL - 228 SP - 1750 KW - colloid KW - numerical_simulation AU - Luo, X AU - Maxey, M AU - Karniadakis, G PY - 2009/03/20/ UR - http://dx.doi.org/10.1016/j.jcp.2008.11.006 ER -