A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D

DOI10.1080/00207160.2012.727988zbMath1273.76008OpenAlexW2121939355MaRDI QIDQ2852120

Chia-Wen Tsao, Feng-Nan Hwang, Xiao-Chuan Cai, Yu-Lun Cheng

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.727988

zbMATH Keywords

Navier-Stokes equationsdomain decompositionparallel processingmicrofluidicsfully implicit methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Uses Software

• PETSc
• CUBIT

Cites Work

• Unnamed Item
• Unnamed Item
• Computational fluid dynamics (CFD) software tools for microfluidic applications - a case study
• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Stabilized finite element methods. II: The incompressible Navier-Stokes equations
• An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
• Transverse momentum micromixer optimization with evolution strategies.
• Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
• Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems
• Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling
• A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
• A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Parallel Newton--Krylov--Schwarz Algorithms for the Transonic Full Potential Equation

This page was built for publication: A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D