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Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow.
Phys Rev E 2016; 93(3):033312PR

Abstract

We analyze hydrodynamic fluctuations of a hybrid simulation under shear flow. The hybrid simulation is based on the Navier-Stokes (NS) equations on one domain and dissipative particle dynamics (DPD) on the other. The two domains overlap, and there is an artificial boundary for each one within the overlapping region. To impose the artificial boundary of the NS solver, a simple spatial-temporal averaging is performed on the DPD simulation. In the artificial boundary of the particle simulation, four popular strategies of constraint dynamics are implemented, namely the Maxwell buffer [Hadjiconstantinou and Patera, Int. J. Mod. Phys. C 08, 967 (1997)], the relaxation dynamics [O’Connell and Thompson, Phys. Rev. E 52, R5792 (1995)], the least constraint dynamics [Nie et al.,J. Fluid Mech. 500, 55 (2004); Werder et al., J. Comput. Phys. 205, 373 (2005)], and the flux imposition [Flekkøy et al., Europhys. Lett. 52, 271 (2000)], to achieve a target mean value given by the NS solver. Going beyond the mean flow field of the hybrid simulations, we investigate the hydrodynamic fluctuations in the DPD domain. Toward that end, we calculate the transversal autocorrelation functions of the fluctuating variables in k space to evaluate the generation, transport, and dissipation of fluctuations in the presence of a hybrid interface. We quantify the unavoidable errors in the fluctuations, due to both the truncation of the domain and the constraint dynamics performed in the artificial boundary. Furthermore, we compare the four methods of constraint dynamics and demonstrate how to reduce the errors in fluctuations. The analysis and findings of this work are directly applicable to other hybrid simulations of fluid flow with thermal fluctuations.

Authors+Show Affiliations

Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.

Pub Type(s)

Journal Article
Research Support, U.S. Gov't, Non-P.H.S.

Language

eng

PubMed ID

27078489

Citation

Bian, Xin, et al. "Analysis of Hydrodynamic Fluctuations in Heterogeneous Adjacent Multidomains in Shear Flow." Physical Review. E, vol. 93, no. 3, 2016, p. 033312.
Bian X, Deng M, Tang YH, et al. Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow. Phys Rev E. 2016;93(3):033312.
Bian, X., Deng, M., Tang, Y. H., & Karniadakis, G. E. (2016). Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow. Physical Review. E, 93(3), p. 033312. doi:10.1103/PhysRevE.93.033312.
Bian X, et al. Analysis of Hydrodynamic Fluctuations in Heterogeneous Adjacent Multidomains in Shear Flow. Phys Rev E. 2016;93(3):033312. PubMed PMID: 27078489.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow. AU - Bian,Xin, AU - Deng,Mingge, AU - Tang,Yu-Hang, AU - Karniadakis,George Em, Y1 - 2016/03/28/ PY - 2015/12/03/received PY - 2016/4/15/entrez PY - 2016/4/15/pubmed PY - 2016/4/15/medline SP - 033312 EP - 033312 JF - Physical review. E JO - Phys Rev E VL - 93 IS - 3 N2 - We analyze hydrodynamic fluctuations of a hybrid simulation under shear flow. The hybrid simulation is based on the Navier-Stokes (NS) equations on one domain and dissipative particle dynamics (DPD) on the other. The two domains overlap, and there is an artificial boundary for each one within the overlapping region. To impose the artificial boundary of the NS solver, a simple spatial-temporal averaging is performed on the DPD simulation. In the artificial boundary of the particle simulation, four popular strategies of constraint dynamics are implemented, namely the Maxwell buffer [Hadjiconstantinou and Patera, Int. J. Mod. Phys. C 08, 967 (1997)], the relaxation dynamics [O’Connell and Thompson, Phys. Rev. E 52, R5792 (1995)], the least constraint dynamics [Nie et al.,J. Fluid Mech. 500, 55 (2004); Werder et al., J. Comput. Phys. 205, 373 (2005)], and the flux imposition [Flekkøy et al., Europhys. Lett. 52, 271 (2000)], to achieve a target mean value given by the NS solver. Going beyond the mean flow field of the hybrid simulations, we investigate the hydrodynamic fluctuations in the DPD domain. Toward that end, we calculate the transversal autocorrelation functions of the fluctuating variables in k space to evaluate the generation, transport, and dissipation of fluctuations in the presence of a hybrid interface. We quantify the unavoidable errors in the fluctuations, due to both the truncation of the domain and the constraint dynamics performed in the artificial boundary. Furthermore, we compare the four methods of constraint dynamics and demonstrate how to reduce the errors in fluctuations. The analysis and findings of this work are directly applicable to other hybrid simulations of fluid flow with thermal fluctuations. SN - 2470-0053 UR - https://www.unboundmedicine.com/medline/citation/27078489/Analysis_of_hydrodynamic_fluctuations_in_heterogeneous_adjacent_multidomains_in_shear_flow_ DB - PRIME DP - Unbound Medicine ER -