Development of 2D turbulent Navier-Stokes solver for Cartesian grids

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2022-9

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Ata, Onur

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A computer code is developed for solving two-dimensional compressible Reynolds-Averaged Navier-Stokes (RANS) equations. The compressible RANS equations are closed with the negative version of the Spalart-Allmaras (SA) turbulence model. Quad-tree-based Cartesian/Quad grids are used to discretize the solution domain. Then, a cell-centered, finite-volume approach is applied to solve turbulent flows. Solution-based mesh adaptivity is used to obtain mesh-free solutions. Since a quad-tree-based data storage is used, mesh refinement and coarsening are done efficiently. Flow variables are reconstructed by using the weighted and unweighted least squares approach. Convective fluxes are formulated with the approximate solver of Roe and limited with Venkatakrishnan's limiter. Formulation of convective terms of the turbulence model is achieved by using first-order upwinding. The gradients used in viscous calculations are obtained using a modified average of the reconstructed variables.

Subject Keywords

Hybrid Grids, Body conforming grids, Turbulence models

URI

https://hdl.handle.net/11511/99596

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

O. Ata, “Development of 2D turbulent Navier-Stokes solver for Cartesian grids,” M.S. - Master of Science, Middle East Technical University, 2022.