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Development of a three‐dimensional solver based on the local domain‐free discretization and immersed boundary method and its application for incompressible flow problems
Author(s) -
Wu Y.L.
Publication year - 2018
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4694
Subject(s) - discretization , solver , domain (mathematical analysis) , incompressible flow , boundary (topology) , flow (mathematics) , immersed boundary method , compressibility , ibm , mathematics , computational fluid dynamics , mesh generation , computer science , computational science , geometry , mathematical optimization , mathematical analysis , mechanics , finite element method , physics , optics , thermodynamics
Summary Recently, the author and two other coauthors have proposed a two‐dimensional hybrid local domain‐free discretization and immersed boundary method (LDFD‐IBM), which can be used to solve the flow problem with complex geometries. In this paper, the LDFD‐IBM is extended to solve a three‐dimensional unsteady incompressible flow with the complex computational domain. The technical issues related to the implementation of the LDFD‐IBM in three‐dimensional problems are discussed in detail, particularly for the discretization of Navier‐Stokes equations, mesh strategies for a three‐dimensional flow, and the fast algorithm on the identification of the status of mesh nodes (ie, to identify if the mesh node is located in the solid domain, in the fluid domain, or near the immersed boundary). Numerical tests show that the LDFD‐IBM can accurately solve three‐dimensional incompressible problems with ease.