Cartesian grid-based hybrid NS-DSMC methodology for continuum-rarefied gas flows around complex geometries

Abstract

This work presents a coupled numerical methodology, based on a hybrid Navier-Stokes (NS) and Direct Simulation Monte Carlo (DSMC) method, for high-speed compressible gas flows—involving a combination of continuum and rarefied flow regions. Implementation details of coupling cycle are presented along with the validation and performance studies for three cases (Mach number $M{a}_1=3.38,$ 6.5 and 9) of normal shock waves in argon and three cases (Inlet pressure p_in = 1.0 atm, 0.5 atm and 0.1 atm) of flow through a micro-scale convergent-divergent (CD) nozzle. In comparison with our DSMC method-based solutions in the complete domain, the hybrid NS-DSMC method solutions achieve almost similar accuracy in a substantially reduced computational time—44% to 50% for the normal shock problem and 67% to 85% for the micro-scale CD nozzle problem. For the first time in literature, the hybrid NS-DSMC method is presented as a Cartesian-grid method, which is becoming popular nowadays.

Keywords:

• Cartesian grid
• complex geometry
• continuum-rarefied gas flows
• Direct Simulation Monte Carlo
• Navier-Stokes
• hybrid solver

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.