Numerical solution of one dimensional detonation tube with reactive euler equations using high resolution method

Download

index.pdf

Date

2012

Author

Ungun, Yiğit

Metadata

Show full item record

Item Usage Stats

161
views

42
downloads

In this thesis, numerical simulation of one dimensional detonation tube problem is solved with finite rate chemistry. For the numerical simulation, Euler equations have been used. Since detonation tube phenomena occurs in high speed flows, viscosity e ects and gravity forces are negligible. In this thesis, Godunov type methods have been studied and afterwards high resolution method is used for the numerical solution of the detonation tube problem. To solve the chemistry aspect of the problem ZND theory have been used. For the numerical solution, a FORTRAN code is written and the numerical solution of the problems compared with the exact ZND solutions.

Subject Keywords

Motor Vehicles., Aeronautics., Astronautics.

URI

http://etd.lib.metu.edu.tr/upload/12614128/index.pdf
https://hdl.handle.net/11511/21420

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Exact solution of effective mass Schrodinger equation for the Hulthen potential Sever, Ramazan; TEZCAN, CEVDET; Yesiltas, Oezlem; Bucurgat, Mahmut (2008-09-01) A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
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...
Energy preserving model order reduction of the nonlinear Schrodinger equation Karasözen, Bülent (2018-12-01) An energy preserving reduced order model is developed for two dimensional nonlinear Schrodinger equation (NLSE) with plane wave solutions and with an external potential. The NLSE is discretized in space by the symmetric interior penalty discontinuous Galerkin (SIPG) method. The resulting system of Hamiltonian ordinary differential equations are integrated in time by the energy preserving average vector field (AVF) method. The mass and energy preserving reduced order model (ROM) is constructed by proper orth...
Rigorous Solutions of Electromagnetic Problems Involving Hundreds of Millions of Unknowns Ergül, Özgür Salih (2011-02-01) Accurate simulations of real-life electromagnetic problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be easily achieved, even when using the most powerful computers with state-of-the-art technology. Hence, many electromagnetic problems in the literature have been solved by resorting to various approximation techniques, without controllable error. In this paper, we present full-wave solutions of sc...
Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients ÖZBEKLER, ABDULLAH; Wong, J. S. W.; Zafer, Ağacık (Elsevier BV, 2011-07-01) In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions.

Citation Formats

Y. Ungun, “Numerical solution of one dimensional detonation tube with reactive euler equations using high resolution method,” M.S. - Master of Science, Middle East Technical University, 2012.