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

Download

OnurAtaTez.pdf

Date

2022-9

Author

Ata, Onur

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

310
views

125
downloads

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

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Development of a Navier-Stokes solver for multi-block applications Erdoğan, Erinç; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2004) A computer code is developed using finite volume technique for solving steady twodimensional and axisymmetric compressible Euler and Navier-Stokes equations for internal flows by أmulti-blockؤ technique. For viscous flows, both laminar and turbulent flow properties can be used. Explicit one step second order accurate Lax-Wendroff scheme is used for time integration. Inviscid solutions are verified by comparing the results of test cases of a support project which was supported by ONERA/France for Turkey T-10...
Parallel implementation of a gas-kinetic BGK method on unstructured grids for 3-D inviscid missile flows Ilgaz, Murat; Tuncer, İsmail Hakkı (2009-10-12) A 3-D gas-kinetic BGK method and its parallel solution algorithm are developed for the computation of inviscid missile flows on unstructured grids. Flow solutions over a supersonic missile are presented to validate the accuracy and robustness of the method. It is shown that the computation time, which is an important deficiency of gas-kinetic BGK methods, may significantly be reduced by performing computations in parallel. © 2009 Springer-Verlag Berlin Heidelberg.
Applications of hybrid discrete Fourier transform-moment method to the fast analysis of large rectangular dipole arrays printed on a thin grounded dielectric substrate Chou, HT; Ko, HK; Aydın Çivi, Hatice Özlem; ERTÜRK, VAKUR BEHÇET (2002-08-05) Recently a discrete Fourier transform-method of moments (DFT-MoM) scheme was developed for fast analysis of electrically large rectangular planar dipole arrays, which has been shown to be very efficient in terms of number reduction of unknown variables and computational complexity. The applications of this DFT-MoM to treat dipole arrays printed on a grounded dielectric substrate are examined in this Letter. Numerical results are presented to validate its efficiency and accuracy. (C) 2002 Wiley Periodicals, ...
Accurate Solutions of Extremely Large Integral-Equation Problems in Computational Electromagnetics Ergül, Özgür Salih (2013-02-01) Accurate simulations of real-life electromagnetics problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be achieved easily, even when using the most powerful computers with state-of-the-art technology. However, with the multilevel fast multipole algorithm (MLFMA) and parallel MLFMA, we have been able to obtain full-wave solutions of scattering problems discretized with hundreds of millions of unknow...
Aerodynamic design optimization of three dimensional rocket nozzles using adjoint method Eyi, Sinan (null; 2013-09-13) A design optimization method based on three dimensional Euler equations is developed. A finite volume method is implemented to discretize the Euler equations. Newton's method is used to solve the discretized form of Euler equations. Newton's method requires the calculation of the Jacobian matrix which is the derivative of the residual vector with respect to the flux vector. Different upwind methods are used in the calculation of flux vectors. Numerical and analytical methods are utilized in the evaluation o...

Citation Formats

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