A numerical investigation of explicit pressure-correction projection methods for incompressible flows
A numerical investigation is performed on an explicit pressure-correction projection method. The schemes are fully explicit in time in the framework of the finite difference method. They are tested on benchmark cases of a lid-driven cavity flow, flow past a cylinder and flow over a backward facing...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
The Hong Kong Polytechnic University
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/42553/ http://irep.iium.edu.my/42553/ http://irep.iium.edu.my/42553/ http://irep.iium.edu.my/42553/1/Numerical_Investigatiom_of_exp_pr-corr_methods.pdf http://irep.iium.edu.my/42553/4/42553_A%20numerical%20investigation%20of%20explicit%20pressure_SCOPUS.pdf |
| Summary: | A numerical investigation is performed on an explicit pressure-correction projection method. The schemes are fully explicit
in time in the framework of the finite difference method. They are tested on benchmark cases of a lid-driven cavity flow,
flow past a cylinder and flow over a backward facing step. Comparisons of the numerical simulations have been made with
benchmark experimental and DNS data. Based on the results obtained, several numerical issues are discussed; namely, the
handling of the pressure term, time discretization and spatial discretization of convective and diffusive terms. The fully
explicit projection method is also compared with the fully implicit SIMPLE algorithm. It is observed that the SIMPLE
algorithm performs better (faster and produces more accurate results) for laminar flows while the projection method works
better for unsteady turbulent flows. Although there have been much research performed using the higher-order pressure
incremental projection method, this research work is novel because the schemes employed here are fully explicit, developed
in the framework of a finite difference method, and applied to turbulent flows using k- model. The major difficulty and
challenges of this research work is to identify the sources of instability for the higher-order pressure incremental projection
method scheme. |
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