A quadtree-based adaptively-refined cartesian-grid algorithm for solution of the euler equations

Download

index.pdf

Date

2005

Author

Bulkök, Murat

Metadata

Show full item record

Item Usage Stats

261
views

63
downloads

A Cartesian method for solution of the steady two-dimensional Euler equations is produced. Dynamic data structures are used and both geometric and solution-based adaptations are applied. Solution adaptation is achieved through solution-based gradient information. The finite volume method is used with cell-centered approach. The solution is converged to a steady state by means of an approximate Riemann solver. Local time step is used for convergence acceleration. A multistage time stepping scheme is used to advance the solution in time. A number of internal and external flow problems are solved in order to demonstrate the efficiency and accuracy of the method.

Subject Keywords

Computer software.

URI

http://etd.lib.metu.edu.tr/upload/12606687/index.pdf
https://hdl.handle.net/11511/15645

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

The limit of sum of Markov Bernoulli variables in system reliability evaluation Şahinoğlu, Mehmet (Institute of Electrical and Electronics Engineers (IEEE), 1990-4) For 2-state maintainable and repairable systems modeled by nonstationary Markov chains, a limiting compound Poisson distribution is derived for the sum of Markov Bernoulli random variables. The result is useful for estimating the distribution of the sum of negative-margin hours in a boundary-crossing scenario involving any physical system with interarrival times of system failures that are negative-exponentially distributed, where the positive- and negative-margin states denote desirable and undesirable ope...
A numerical procedure for the solution of oscillatory turbulent boundary layer flow by control-volume approach Tiğrek, Şahnaz; Isobe, M (1998-09-01) A general numerical method for the solution of the complete Reynolds-averaged Navier-Stokes equations for 1D and 2D oscillatory flow is described. The method uses orthogonal/nonorthogonal co-ordinates, contravariant and covariant velocity components and a pressure-velocity-coupling algorithm for staggered grid system. The capability of method and the overall performance of the k-epsilon model are demonstrated by calculations of flow over flat End rippled beds. Numerical tools that will be required for a rob...
A discontinuous subgrid eddy viscosity method for the time-dependent Navier-Stokes equations Kaya Merdan, Songül (Society for Industrial & Applied Mathematics (SIAM), 2005-01-01) In this paper we provide an error analysis of a subgrid scale eddy viscosity method using discontinuous polynomial approximations for the numerical solution of the incompressible Navier-Stokes equations. Optimal continuous in time error estimates of the velocity are derived. The analysis is completed with some error estimates for two fully discrete schemes, which are first and second order in time, respectively.
A NOVEL PARTITIONING METHOD FOR ACCELERATING THE BLOCK CIMMINO ALGORITHM Torun, F. Sukru; Manguoğlu, Murat; Aykanat, Cevdet (2018-01-01) We propose a novel block-row partitioning method in order to improve the convergence rate of the block Cimmino algorithm for solving general sparse linear systems of equations. The convergence rate of the block Cimmino algorithm depends on the orthogonality among the block rows obtained by the partitioning method. The proposed method takes numerical orthogonality among block rows into account by proposing a row inner-product graph model of the coefficient matrix. In the graph partitioning formulation define...
A Rayleigh–Ritz Method for Numerical Solutions of Linear Fredholm Integral Equations of the Second Kind Kaya, Ruşen; Taşeli, Hasan (2022-01-01) A Rayleigh–Ritz Method is suggested for solving linear Fredholm integral equations of the second kind numerically in a desired accuracy. To test the performance of the present approach, the classical one-dimensional Schrödinger equation -y″(x)+v(x)y(x)=λy(x),x∈(-∞,∞) has been converted into an integral equation. For a regular problem, the unbounded interval is truncated to x∈ [ - ℓ, ℓ] , where ℓ is regarded as a boundary parameter. Then, the resulting integral equation has been solved and the results are co...

Citation Formats

M. Bulkök, “A quadtree-based adaptively-refined cartesian-grid algorithm for solution of the euler equations,” M.S. - Master of Science, Middle East Technical University, 2005.