Journal Pre-proof Moving Least-Squares Aided Finite Element method (MLS-FEM): a Powerful Means to Predict Pressure Discontinuities of Multi-Phase Flow Fields and Reduce Spurious Currents Mehdi Mostafaiyan , Sven Wießner , Gert Heinrich PII: S0045-7930(20)30240-1 DOI: https://doi.org/10.1016/j.compﬂuid.2020.104669 Reference: CAF 104669 To appear in: Computers and Fluids Received date: 16 January 2020 Accepted date: 13 July 2020 Please cite this article as: Mehdi Mostafaiyan , Sven Wießner , Gert Heinrich , Moving Least- Squares Aided Finite Element method (MLS-FEM): a Powerful Means to Predict Pressure Disconti- nuities of Multi-Phase Flow Fields and Reduce Spurious Currents, Computers and Fluids (2020), doi: https://doi.org/10.1016/j.compﬂuid.2020.104669 This is a PDF ﬁle of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the deﬁnitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its ﬁnal form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2020 Published by Elsevier Ltd.