Improving the accuracy of fictitious domain method using indicator function from volume intersection
type: Item
instance of: scholarly article
title: Improving the accuracy of fictitious domain method using indicator function from volume intersection
zbMATH Open document ID: 1448.76107
DOI: 10.1155/2019/5450313
author: Guoliang Chai
author: Junwei Su
author: Le Wang
author: Chunlei Yu
author: Yigen Zhang
author: ZhaoLin Gu
published in: Advances in Mathematical Physics
publication date: 2020-07-16T00:00:00Z
review text: Summary: 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, and can be a feasible tool for studying problems with moving boundaries.
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76T20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M85
zbMATH DE Number: 7221712
zbMATH Keywords: polyhedral cell
zbMATH Keywords: particle flow
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: moving boundary
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/5450313
OpenAlex ID: W2955437897
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description: scientific article; zbMATH DE number 7221712