A particle method for 1‐D compressible fluid flow

Author:

Karafyllis Iasson1,Papageorgiou Markos23

Affiliation:

1. Department of Mathematics National Technical University of Athens Athens Greece

2. Dynamic Systems and Simulation Laboratory Technical University of Crete Chania Greece

3. Faculty of Maritime and Transportation Ningbo University Ningbo China

Abstract

AbstractThis paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier‐Stokes equations for the 1‐D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models.

Funder

European Research Council

Publisher

Wiley

Subject

Applied Mathematics

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