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http://dx.doi.org/10.3795/KSME-B.2003.27.4.458

Finite Element Analysis of Incompressible Transient Navier-Stokes Equation using Fractional-Step Methods  

Kim, Hyung-Min (경기대학교 전자기계공학부)
Lee, Shin-Pyo (경기대학교 전자기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.27, no.4, 2003 , pp. 458-465 More about this Journal
Abstract
The main objective of the research is to develop a research code solving transient incompressible Navier-Stokes equation. In this research code, Adams-Bashforth method was applied to the convective terms of the navier stokes equation and the splitted equations were discretized spatially by finite element methods to solve the complex geometry problems easily. To reduce the divergence on the boundaries of pressure poisson equation due to the unsuitable pressure boundary conditions, multi step approximation pressure boundary conditions derived from the boundary linear momentum equations were used. Simulations of Lid Driven Flow and Flow over Cylinder were conducted to prove the accuracy by means of the comparison with results of the previous workers.
Keywords
Fractional-Step Methods; Finite Element Methods; Cavity Flow; Flow over a Cylinder; Multistep Approximation; Strouhal Number;
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