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Enhanced semi-explicit particle finite element method via a modified Strang splitting operator for incompressible flows

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Abstract

This work presents an enhanced version of the semi-explicit particle finite element method for incompressible flow problems. This goal is achieved by improving the methodology that results from applying the Strang splitting operator by adding an acceleration term. The advective step is evaluated on the mesh considering the new term leading to a more efficient algorithm. Two test cases are solved for validating the methodology and estimating its accuracy. The numerical results demonstrate that the proposed scheme improves the accuracy and the computational efficiency of the semi-explicit PFEM scheme.

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Acknowledgements

The authors acknowledges financial support from the CERCA programme of the Generalitat de Catalunya, the Ministerio de Ciencia, Innovacion e Universidades of Spain via the Severo Ochoa Programme for Centres of Excellence in RD (referece: CEX2018-000797-S) and the project PARAFLUIDS (PID2019-104528RB-100) of the National Research Plan of the Spanish Govermment.

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Authors and Affiliations

  1. MECAMAT Group, Department of Engineering, Faculty of Science and Technology, Universitat de Vic-Universitat Central de Catalunya (UVic-UCC), 08500, Vic, Spain

    Julio Marti

  2. Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Gran Capitán s/n, 08034, Barcelona, Spain

    Julio Marti & Eugenio Oñate

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  1. Julio Marti
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  2. Eugenio Oñate
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Marti, J., Oñate, E. Enhanced semi-explicit particle finite element method via a modified Strang splitting operator for incompressible flows. Comp. Part. Mech. 10, 1463–1475 (2023). https://doi.org/10.1007/s40571-022-00522-5

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