skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Second order upwind Lagrangian particle method for Euler equations

Abstract

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.

Authors:
 [1];  [2];  [2]
  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)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)
OSTI Identifier:
1324262
Report Number(s):
BNL-112408-2016-JA
Journal ID: ISSN 1877-0509
Grant/Contract Number:  
SC00112704
Resource Type:
Accepted Manuscript
Journal Name:
Procedia Computer Science
Additional Journal Information:
Journal Volume: 80; Journal Issue: C; Conference: International Conference on Computational Science 2016, San Diego, CA (United States), 6-8 Jun 2016; Journal ID: ISSN 1877-0509
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; particle methods; generalized finite differences; meshless methods; smooth particle hydrodynamics

Citation Formats

Samulyak, Roman, Chen, Hsin -Chiang, and Yu, Kwangmin. Second order upwind Lagrangian particle method for Euler equations. United States: N. p., 2016. Web. https://doi.org/10.1016/j.procs.2016.05.543.
Samulyak, Roman, Chen, Hsin -Chiang, & Yu, Kwangmin. Second order upwind Lagrangian particle method for Euler equations. United States. https://doi.org/10.1016/j.procs.2016.05.543
Samulyak, Roman, Chen, Hsin -Chiang, and Yu, Kwangmin. Wed . "Second order upwind Lagrangian particle method for Euler equations". United States. https://doi.org/10.1016/j.procs.2016.05.543. https://www.osti.gov/servlets/purl/1324262.
@article{osti_1324262,
title = {Second order upwind Lagrangian particle method for Euler equations},
author = {Samulyak, Roman and Chen, Hsin -Chiang and Yu, Kwangmin},
abstractNote = {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.},
doi = {10.1016/j.procs.2016.05.543},
journal = {Procedia Computer Science},
number = C,
volume = 80,
place = {United States},
year = {2016},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share: