Study of Error Propagation in Mesh Caused by Surface Point Movement in FVM Systems

DOI

10.2991/icecee-15.2015.229How to use a DOI?

Keywords

Free surface; Discretization error; FVM; Error propagation

Abstract

The correctness of the surface point position and the smoothness of the interface would significantly influence the final results in numerical simulations, especially in free surface cases such as bubble in the water, vessel with blood. However, how would the error caused by improper surface position and rough shape affect the result remains unknown. In fact, moving the surface point incorrectly would lead to a discretization error which depends on discretization schemes and difference methods. In this paper, the effects of the error caused by wrong displacement of one point are investigated in a system based on finite volume method (FVM). The influence and the error propagation characters of three basic arithmetic operators (first time derivative, the convection term, the Laplacian term) are studied in pipe flow like cases. The results shows different propagation properties which could guide further study of error propagation in free surface problems in the future.

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  - Yu Cao
AU  - Xiaowei Guo
AU  - Qian Wang
AU  - Miao Wang
AU  - Zhiyuan Wang
PY  - 2015/06
DA  - 2015/06
TI  - Study of Error Propagation in Mesh Caused by Surface Point Movement in FVM Systems
BT  - Proceedings of the 2015 International Conference on Electrical, Computer Engineering and Electronics
PB  - Atlantis Press
SP  - 1229
EP  - 1237
SN  - 2352-538X
UR  - https://doi.org/10.2991/icecee-15.2015.229
DO  - 10.2991/icecee-15.2015.229
ID  - Cao2015/06
ER  -