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Solution Refinement Effectiveness of Multi-Grid Accelerated, Cartesian Grid Based Navier Stokes Solver on Compressible and Laminar Flows

Emre Kara1 emrekara [at] gantep.edu.tr
Ahmet İhsan Kutlar1 aikutlar [at] gantep.edu.tr
Mehmet Haluk Aksel2 aksel [at] metu.edu.tr
  1. Mechanical Engineering Department, University of Gaziantep, Turkey, Gaziantep, Sehitkamil, 27310, University Boulevard
  2. Mechanical Engineering Department, Middle East Technical University, Turkey, Ankara, Cankaya, 06800, Dumlupinar Boulevard No. 1.
Abstract 

The developed Cartesian-grid based GeULER-NS code is validated for compressible and laminar flows on subsonic viscous flow over a NACA 0012 airfoil. Solution refinement effectiveness and Roe’s flux calculation versus AUSM are tested. Drag coefficient results, skin friction coefficient distribution and symmetric behavior of the distribution are compared with the results from milestone computational studies found in literature.

Keywords 
Cartesian grid generation
compressible flow
laminar flow
multi-grid method
Navier Stokes solver
solution refinement
References 
  1. E. Kara, A. İ. Kutlar and M. H. Aksel, "Shock Wave Capturing with Multi-grid Accelerated, Solution Adaptive, Cartesian Grid Based Navier Stokes Solver," Journal of Aeronautics and Space Technologies, vol. 9, no. 2, July 2016, pp. 63-73.
  2. C. F. Gooch, "Solution of the Navier-Stokes equations on Locally Refined Cartesian Meshes using State-vector Splitting," Ph.D. dissertation, Department of Aeronautics and Astronautics, Stanford University, Palo Alto, CA, USA, 1994.
  3. M. S. Sahin, "Development of a Two-dimensional Navier-Stokes Solver for Laminar Flows using Cartesian Grids," M.S. Thesis, Mechanical Engineering Department, Middle East Technical University, Ankara, Turkey, 2011.