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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v3.i1.40
pages 49-58

Implicit Hybrid Simulation Framework for Steady-State Dilute Gas Flows

Lowell Baker
Mechanical Engineering Department Massachusetts Institute of Technology, Cambridge, MA 02139
Nicolas G. Hadjiconstantinou
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

ABSTRACT

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.


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