Molecular Viscosity and Diffusivity Effects in Transitional and Shock-Driven Mixing Flows

Soares Pereira, Filipe Miguel; Grinstein, Fernando; Israel, Daniel M.; Rauenzahn, Rick Meier

doi:10.1103/PhysRevE.103.013106

Title: Molecular Viscosity and Diffusivity Effects in Transitional and Shock-Driven Mixing Flows

Journal Article · Tue Jan 19 00:00:00 EST 2021 · Physical Review. E

DOI:https://doi.org/10.1103/PhysRevE.103.013106· OSTI ID:1859889

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, this paper investigates the importance of molecular viscosity and diffusivity for the prediction of transitional and shock-driven mixing flows featuring high and low Reynolds and Mach number regions. Two representative problems are computed with implicit large-eddy simulations using the inviscid Euler equations (EE) and viscous Navier-Stokes equations (NSE): the Taylor-Green vortex at Reynolds number Re = 3000 and initial Mach number Ma = 0.28, and an air- SF₆ -air gas curtain subjected to two shock waves at Ma = 1.2. The primary focus is on differences between NSE and EE predictions due to viscous effects. The outcome of the paper illustrates the advantages of utilizing NSE. In contrast to the EE, where the effective viscosity decreases upon grid refinement, NSE predictions can be assessed for simulations of flows with transition to turbulence at prescribed constant Re. The NSE can achieve better agreement between solutions and reference data, and the results converge upon grid refinement. On the other hand, the EE predictions do not converge with grid refinement, and can only exhibit similarities with the NSE results at coarse grid resolutions. We also investigate the effect of viscous effects on the dynamics of the coherent and turbulent fields, as well as on the mechanisms contributing to the production and diffusion of vorticity. The results show that nominally inviscid calculations can exhibit significantly varying flow dynamics driven by changing effective resolution-dependent Reynolds number, and highlight the role of viscous processes affecting the vorticity field. These tendencies become more pronounced upon grid refinement. The discussion of the results concludes with the assessment of the computational cost of inviscid and viscous computations.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1859889

Report Number(s):: LA-UR-20-26470; TRN: US2305202

Journal Information:: Physical Review. E, Vol. 103, Issue 1; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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