A FINITE-VOLUME PARTICLE METHOD FOR COMPRESSIBLE FLOWS-Reference-Cited by-同舟云学术

A FINITE-VOLUME PARTICLE METHOD FOR COMPRESSIBLE FLOWS

Published:2000-12 Issue:09 Volume:10 Page:1363-1382
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

HIETEL DIETMAR¹,STEINER KONRAD¹,STRUCKMEIER JENS²

Affiliation:

1. Institut für Techno- und Wirtschaftsmathematik, Erwin–Schrödinger–Straße, 67663 Kaiserslautern, Germany

2. Department of Mathematics, University of Hamburg, Bundesstr. 55, 20146 Hamburg, Germany

Abstract

We derive a new class of particle methods for conservation laws, which are based on numerical flux functions to model the interactions between moving particles. The derivation is similar to that of classical finite-volume methods; except that the fixed spatial mesh in a finite-volume method is substituted by so-called mass packets of particles. We give some numerical results on a shock wave solution for Burgers equation as well as the well-known one-dimensional shock tube problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000604

Reference12 articles.

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