Statistical error analysis for the direct simulation Monte Carlo technique
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by half fluxes
Journal of Computational Physics
Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
Journal of Computational Physics
Hybrid atomistic-continuum formulations and the moving contact-line problem
Journal of Computational Physics
A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows
Journal of Computational Physics
CAD challenges in BioMEMS design
Proceedings of the 41st annual Design Automation Conference
Developing design tools for biological and biomedical applications of micro- and nano-technology
CODES+ISSS '05 Proceedings of the 3rd IEEE/ACM/IFIP international conference on Hardware/software codesign and system synthesis
Algorithm refinement for stochastic partial differential equations: II. Correlated systems
Journal of Computational Physics
Generation of the Maxwellian inflow distribution
Journal of Computational Physics
Development and verification of a coupled DSMC-NS scheme using unstructured mesh
Journal of Computational Physics
Multidisciplinary and multi-scale computational field simulations-Algorithms and applications
Mathematics and Computers in Simulation
Coupled Navier-Stokes/DSMC Method for Transient and Steady-State Gas Flows
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Macro-micro Interlocked Simulation for Multiscale Phenomena
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Components for atomistic-to-continuum multiscale modeling of flow in micro- and nanofluidic systems
Scientific Programming - Complexity in Scalable Computing
A particle-particle hybrid method for kinetic and continuum equations
Journal of Computational Physics
Journal of Computational Physics
Atomistic hybrid DSMC/NEMD method for nonequilibrium multiscale simulations
Journal of Computational Physics
A multiscale kinetic-fluid solver with dynamic localization of kinetic effects
Journal of Computational Physics
Spatially hybrid computations for streamer discharges: II. Fully 3D simulations
Journal of Computational Physics
Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo
Journal of Computational Physics
Hi-index | 31.50 |
A multiscale method that combines continuum fluid models with the direct simulation Monte Carlo (DSMC) method is presented. The continuum regions are treated by Stokes equations and a scattered point based finite cloud method is employed to solve the Stokes equations. The continuum and DSMC regions are combined by an overlapped Schwarz alternating method with Dirichlet-Dirichlet type boundary conditions. A scattered point interpolation scheme is developed to interpolate the solution between subdomains. The convergence characteristics of the multiscale approach are investigated in detail. Specifically, the dependence of convergence on the overlap size, the DSMC noise, and the number of time steps employed in the DSMC algorithm are studied. While the convergence depends weakly on the DSMC noise and the overlap size, the number of DSMC time steps simulated in each coupling iteration should be selected so that the total time steps simulated until convergence of the coupled process is close to the time constant of the DSMC subsystem. Steady-state analysis of microfluidic filters is studied in detail using the multiscale approach. The multiscale approach is also applied for the simulation of a membrane with an array of microfluidic filters and a dual-stage microfluidic device with an array of microfluidic filters for particle trapping and sorting.