The study of the three-Dimensional meshless solver based on AUSM+-up and MUSCL scheme

DOI

10.2991/icectt-15.2015.52How to use a DOI?

Keywords

Meshless method, AUSM+-up , MUSCL Scheme, Euler equation, Least square

Abstract

The meshless method does not need the mesh cells to divide the computational domain, but use the 'clouds of points' to replace the function of mesh cells. For this reason, the meshfree method can bring the advantage of flexible point distribution to divide the computational domain. In the present paper, an efficient and accurate 3D least square meshless algorithm is shown to solve the Euler equations based on the AUSM+-up and MUSCL scheme. The explicit three-stage Strong Stability Preserving (SSP) Runge-Kutta method is chosen to advance the time evolution. The spatial derivatives are fitted by the least square method based on the cloud of point. The explicit expressions of the spatial derivatives are given in the present work. In order to investigate the robustness and accuracy of the present 3D meshless method, both transonic flow and supersonic flow are simulated. The results obtained show a good agreement with the exact solution or the experiment results.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yuanding Wang
AU  - Xiaowei Cai
AU  - Mu Zhang
AU  - Xinjian Ma
AU  - Dengfeng Ren
AU  - Junjie Tan
PY  - 2015/11
DA  - 2015/11
TI  - The study of the three-Dimensional meshless solver based on AUSM+-up and MUSCL scheme
BT  - Proceedings of the 2015 International Conference on Electromechanical Control Technology and Transportation
PB  - Atlantis Press
SP  - 275
EP  - 282
SN  - 2352-5401
UR  - https://doi.org/10.2991/icectt-15.2015.52
DO  - 10.2991/icectt-15.2015.52
ID  - Wang2015/11
ER  -