The Unified Numerical Analysis of Compressible and Incompressible Flow Using Triangular Adaptive Mesh Refinement. Development of Fluid Analysis Scheme with Shape and Phenomenal Flexibility and Efficiency of Computation.
Katsuaki Takahashi, Takahiko TANAHASHI · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B · 2002
On this paper, fluid analysis scheme is developed which can apply complex shapes easily with triangle mesh and can deal with both compressible flow and incompressible flow accurately and with low memory consumption using adaptive mesh refinement (AMR). To verify the effectiveness of this scheme, problems of shock waves peculiar to compressible flow and vortices peculiar to incompressible flow were analyzed. The results show this scheme can deal with the different properties of fluid compressibility and incompressiblity accurately and AMR plays the great role for efficiency of computation to compressible flow and incompressible flow both.