Second order upwind Lagrangian particle method for Euler equations

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Procedia Computer Science

DOI:https://doi.org/10.1016/j.procs.2016.05.543· OSTI ID:1324262

Samulyak, Roman ^[1]; Chen, Hsin -Chiang ^[2]; Yu, Kwangmin ^[2]

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

A new second order upwind 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 / multiphase 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) an upwind second-order particle-based algorithm with limiter, providing accuracy and long term stability, and (c) accurate resolution of states at free interfaces. In conclusion, numerical verification tests demonstrating the convergence order for fixed domain and free surface problems are presented.

• Research Organization: Brookhaven National Laboratory (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)
• OSTI ID: 1324262
• Report Number(s): BNL--112408-2016-JA
• Journal Information: Procedia Computer Science, Journal Name: Procedia Computer Science Journal Issue: C Vol. 80; ISSN 1877-0509
• Publisher: Elsevier
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
generalized finite differences
meshless methods
particle methods
smooth particle hydrodynamics