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Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection
Joint Authors
Chai, Guoliang
Su, Junwei
Wang, Le
Yu, Chunlei
Zhang, Yigen
Gu, Zhaolin
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Fictitious domain method (FDM) is a commonly accepted direct numerical simulation technique for moving boundary problems.
Indicator function used to distinguish the solid zone and the fluid zone is an essential part concerning the whole prediction accuracy of FDM.
In this work, a new indicator function through volume intersection is developed for FDM.
In this method, the arbitrarily polyhedral cells across the interface between fluid and solid are located and subdivided into tetrahedrons.
The fraction of the solid volume in each cell is accurately computed to achieve high precision of integration calculation in the particle domain, improving the accuracy of the whole method.
The quadrature over the solid domain shows that the newly developed indicator function can provide results with high accuracy for variable integration in both stationary and moving boundary problems.
Several numerical tests, including flow around a circular cylinder, a single sphere in a creeping shear flow, settlement of a circular particle in a closed container, and in-line oscillation of a circular cylinder, have been performed.
The results show good accuracy and feasibility in dealing with the stationary boundary problem as well as the moving boundary problem.
This method is accurate and conservative, which can be a feasible tool for studying problems with moving boundaries.
American Psychological Association (APA)
Chai, Guoliang& Su, Junwei& Wang, Le& Yu, Chunlei& Zhang, Yigen& Gu, Zhaolin. 2019. Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1118957
Modern Language Association (MLA)
Chai, Guoliang…[et al.]. Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection. Advances in Mathematical Physics No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1118957
American Medical Association (AMA)
Chai, Guoliang& Su, Junwei& Wang, Le& Yu, Chunlei& Zhang, Yigen& Gu, Zhaolin. Improving the Accuracy of Fictitious Domain Method Using Indicator Function from Volume Intersection. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1118957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118957