%0 Journal Article %A Hadjiconstantinou, Nicolas G. %A Baker, Lowell %D 2005 %I Begell House %N 1 %P 49-58 %R 10.1615/IntJMultCompEng.v3.i1.40 %T Implicit Hybrid Simulation Framework for Steady-State Dilute Gas Flows %U https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,69f10ca36a816eb7,5fabfa94229913fb.html %V 3 %X We present a hybrid simulation framework for steady-state dilute gas flows. The ingredients of this hybrid formulation are the Navier-Stokes description on the continuum side and the Boltzmann description on the atomistic side. Steady-state numerical solutions of the Boltzmann equation are obtained via an iterative finite difference formulation; these are coupled to the Navier-Stokes solution using the Schwarz alternating method, an iterative domain decomposition framework for steady-state problems. The Schwarz method is well suited for molecular-continuum hybrid methods because it provides time scale decoupling. It also enables the use of an iterative method for obtaining steady solutions in the Boltzmann domain leading to a fully implicit hybrid formulation with no time scale limitations. We show that interleaving the outer (Schwarz) iteration with the inner (Boltzmann) iteration leads to additional computational savings. %8 2005-03-28