Lagrangian particle method for compressible fluid dynamics

Samulyak, Roman; Wang, Xingyu; Chen, Hsin -Chiang

doi:10.1016/j.jcp.2018.02.004

Lagrangian particle method for compressible fluid dynamics

Journal Article · Fri Feb 09 00:00:00 EST 2018 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2018.02.004· OSTI ID:1439449

Samulyak, Roman ^[1]; Wang, Xingyu ^[2]; Chen, Hsin -Chiang ^[2]

Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Stony Brook Univ., Stony Brook, NY (United States)

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is suitable for the simulation of complex free surface / multi-phase flows. The main contributions of our method, which is different from SPH in all other aspects, are (a) significant improvement of approximation of differential operators based on a polynomial fit via weighted least squares approximation and the convergence of prescribed order, (b) a second-order particle-based algorithm that reduces to the first-order upwind method at local extremal points, providing accuracy and long term stability, and (c) more accurate resolution of entropy discontinuities and states at free inter-faces. While the method is consistent and convergent to a prescribed order, the conservation of momentum and energy is not exact and depends on the convergence order . The method is generalizable to coupled hyperbolic-elliptic systems. As a result, numerical verification tests demonstrating the convergence order are presented as well as examples of complex multiphase flows.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)

Grant/Contract Number:: SC0012704

OSTI ID:: 1439449

Alternate ID(s):: OSTI ID: 1548756
OSTI ID: 23078148

Report Number(s):: BNL--205715-2018-JAAM

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 362; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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