Study of Error Propagation in Mesh Caused by Surface Point Movement in FVM Systems
Yu Cao, Xiaowei Guo, Qian Wang, Miao Wang, Zhiyuan Wang
Available Online June 2015.
- https://doi.org/10.2991/icecee-15.2015.229How to use a DOI?
- Free surface; Discretization error; FVM; Error propagation
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 PB - Atlantis Press SP - 1229 EP - 1237 SN - 2352-538X UR - https://doi.org/10.2991/icecee-15.2015.229 DO - https://doi.org/10.2991/icecee-15.2015.229 ID - Cao2015/06 ER -