Second Order Upwind Lagrangian Particle Method for Euler Equations | Zendy

Roman Samulyak | Zendy; Hsin-Chiang Chen | Zendy; Kwangmin Yu | Zendy

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Second Order Upwind Lagrangian Particle Method for Euler Equations

Author(s) -

Roman Samulyak,

Hsin-Chiang Chen,

Kwangmin Yu

Publication year - 2016

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2016.05.543

Subject(s) - inviscid flow , upwind scheme , mathematics , convergence (economics) , euler equations , smoothed particle hydrodynamics , euler's formula , compressibility , polynomial , computer science , mathematical analysis , mechanics , physics , discretization , economics , economic growth

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. Numerical verification tests demonstrating the convergence order for fixed domain and free surface problems are presented

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