Three dimensional laminar compressible navier stokes solver for internal rocket flow applications

Download

index.pdf

Date

2007

Author

Coşkun, Korhan

Metadata

Show full item record

Item Usage Stats

238
views

93
downloads

A three dimensional, Navier-Stokes finite volume flow solver which uses Roe’s upwind flux differencing scheme for spatial and Runge-Kutta explicit multi-stage time stepping scheme and implicit Lower-Upper Symmetric Gauss Seidel (LU-SGS) iteration scheme for temporal discretization on unstructured and hybrid meshes is developed for steady rocket internal viscous flow applications. The spatial accuracy of the solver can be selected as first or second order. Second order accuracy is achieved by piecewise linear reconstruction. Gradients of flow variables required for piecewise linear reconstruction are calculated with both Green-Gauss and Least-Squares approaches. The solver developed is first verified against the three-dimensional viscous laminar flow over flat plate. Then the implicit time stepping algorithms are compared against two rocket motor internal flow problems. Although the solver is intended for internal flows, a test case involving flow over an airfoil is also given. As the last test case, supersonic vortex flow between concentric circular arcs is selected.

Subject Keywords

Mechanical engineering., Navier-Stokes equations.

URI

http://etd.lib.metu.edu.tr/upload/12609086/index.pdf
https://hdl.handle.net/11511/17332

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Finite element modeling of electromagnetic radiation Özgün, Özlem; Kuzuoğlu, Mustafa; Department of Electrical and Electronics Engineering (2007) The Finite Element Method (FEM) is a powerful numerical method to solve wave propagation problems for open-region electromagnetic radiation/scattering problems involving objects with arbitrary geometry and constitutive parameters. In high-frequency applications, the FEM requires an electrically large computational domain, implying a large number of unknowns, such that the numerical solution of the problem is not feasible even on state-of-the-art computers. An appealing way to solve a large FEM problem is to...
Analysis of a projection-based variational multiscale method for a linearly extrapolated BDF2 time discretization of the Navier-Stokes equations Vargün, Duygu; Kaya Merdan, Songül; Department of Mathematics (2018) This thesis studies a projection-based variational multiscale (VMS) method based on a linearly extrapolated second order backward difference formula (BDF2) to simulate the incompressible time-dependent Navier-Stokes equations (NSE). The method concerns adding stabilization based on projection acting only on the small scales. To give a basic notion of the projection-based VMS method, a three-scale VMS method is explained. Also, the principles of the projection-based VMS stabilization are provided. By using t...
The dual reciprocity boundary element solution of helmholtz-type equations in fluid dynamics Alsoy Akgün, Nagehan; Tezer Sezgin, Münevver; Department of Mathematics (2013) In this thesis, the two-dimensional, unsteady, laminar and incompressible fluid flow problems governed by partial differential equations are solved by using dual reciprocity boundary element method (DRBEM). First, the governing equations are transformed to the inhomogeneous modified Helmholtz equations, and then the fundamental solution of modified Helmholtz equation is used for obtaining boundary element method (BEM) formulation. Thus, all the terms in the equation except the modified Helmholtz operator ar...
A two dimensional euler flow solver on adaptive cartesian grids Siyahhan, Bercan; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2008) In the thesis work, a code to solve the two dimensional compressible Euler equations for external flows around arbitrary geometries have been developed. A Cartesianmesh generator is incorporated to the solver. Hence the pre-processing can be performed together with the solution within a single code. The code is written in the C++ programming language and its object oriented capabilities have been exploited to save memory in the data structure developed. The Cartesian mesh is formed by dividing squares succe...
Development of an axisymmetric, turbulent and unstructured navier-stokes solver Akdemir, Mustafa; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2010) An axisymmetric, Navier-Stokes finite volume flow solver, which uses Harten, Lax and van Leer (HLL) and Harten, Lax and van Leer–Contact (HLLC) upwind flux differencing scheme for spatial and uses Runge-Kutta explicit multi-stage time stepping scheme for temporal discretization on unstructured meshe is developed. Developed solver can solve the compressible axisymmetric flow. The spatial accuracy of the solver can be first or second order accurate. Second order accuracy is achieved by piecewise linear recons...

Citation Formats

K. Coşkun, “Three dimensional laminar compressible navier stokes solver for internal rocket flow applications,” M.S. - Master of Science, Middle East Technical University, 2007.