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http://dx.doi.org/10.5139/JKSAS.2004.32.8.001

Convergence and Stability Analysis of LU Scheme on Unstructured Meshes: Part II - Navier-Stokes Equations  

Kim, Joo-Sung (한국과학기술원 항공우주공학과 대학원)
Kwon, Oh-Joon (한국과학기술원 항공우주공학과)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.32, no.8, 2004 , pp. 1-11 More about this Journal
Abstract
A comprehensive study has been made for the investigation of the convergence and stability characteristics of the LU scheme for solving the Navier-Stokes equations on unstructured meshes. For this purpose the characteristics of the LU scheme was initially studied for a scalar model equation. Then the analysis was extended to the Navier-Stokes equations. It was shown that the LU scheme has an inherent stiffness in the streamwise direction. This stiffness increases when the grid aspect ratio becomes high and the cell Reynolds number becomes small. It was also shown that the stiffness related to the grid aspect ratio can be effectively eliminated by performing proper subiteration. The results were validated for a flat-plate turbulent flow.
Keywords
LU scheme; Von Neumann Stability Analysis; Navier-Stokes Equations; Unstructured Meshes;
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