Staggered scheme for the compressible fluctuating hydrodynamics of multispecies fluid mixtures

Srivastava, Ishan; Ladiges, Daniel R.; Nonaka, Andy J.; Garcia, Alejandro L.; Bell, John B.

doi:10.1103/physreve.107.015305

Staggered scheme for the compressible fluctuating hydrodynamics of multispecies fluid mixtures

Journal Article · Mon Jan 23 23:00:00 EST 2023 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.107.015305· OSTI ID:2242456

^[1]; ^[1]; Nonaka, Andy J. ^[1]; ^[2]; ^[1]

Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
San Jose State Univ., CA (United States)

Here, we present a numerical formulation for the solution of nonisothermal, compressible Navier-Stokes equations with thermal fluctuations to describe mesoscale transport phenomena in multispecies fluid mixtures. The novelty of our numerical method is the use of staggered grid momenta along with a finite volume discretization of the thermodynamic variables to solve the resulting stochastic partial differential equations. The key advantages of the numerical scheme are that it significantly simplifies the discretization of diffusive and stochastic momentum fluxes into a more compact form, and it provides an unambiguous prescription of boundary conditions involving pressure. The staggered grid scheme more accurately reproduces the equilibrium static structure factor of hydrodynamic fluctuations in gas mixtures compared to a collocated scheme described previously by Balakrishnan et al. [Phys. Rev. E 89, 013017 (2014)1539-375510.1103/PhysRevE.89.013017]. The numerical method is tested for ideal noble gases mixtures under various nonequilibrium conditions, such as applied thermal and concentration gradients, to assess the role of cross-diffusion effects, such as Soret and Dufour, on the long-ranged correlations of hydrodynamic fluctuations, which are also more accurately reproduced compared to the collocated scheme. We numerically study giant nonequilibrium fluctuations driven by concentration gradients and fluctuation-driven Rayleigh-Taylor instability in gas mixtures. Wherever applicable, excellent agreement is observed with theory and measurements from the direct simulation Monte Carlo method.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2242456

Alternate ID(s):: OSTI ID: 1916508

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 1 Vol. 107; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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