Premium
Development of an improved divergence‐free‐condition compensated coupled framework to solve flow problems with time‐varying geometries
Author(s) -
Chiu PaoHsiung,
Poh Hee Joo
Publication year - 2021
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.4874
Subject(s) - discretization , drag , divergence (linguistics) , spurious relationship , benchmark (surveying) , forcing (mathematics) , computational fluid dynamics , boundary value problem , lift (data mining) , mathematics , flow (mathematics) , mechanics , computer science , mathematical analysis , physics , linguistics , philosophy , statistics , geodesy , data mining , geography
Summary In this article a coupled version of the improved divergence‐free‐condition compensated method will be proposed to simulate time‐varying geometries by direct forcing immersed boundary method. The proposed method can be seen as a quasi‐multi‐moment framework due to the fact that the momentum equations are discretized by both cell‐centered and cell‐face velocity. For simulating time‐varying geometries, a semi‐implicit iterative method is proposed for calculating the direct forcing terms. Treatments for suppressing spurious force oscillations, calculating drag/lift forces, and evaluating velocity and pressure for freshly cells will also be addressed. In order to show the applicability and accuracy, analytical as well as benchmark problems will be investigated by the present framework and compared with other numerical and experimental results.