The political struggle on and at Kizilay square with respect to perceived, conceived and lived public space before and after 1980

Workshop 3. Politics of public space Abstract: Since the time it was conceived as a socio-spatial project of new established Republic of Turkey, K?z?lay Square in Ankara has been reproduced within its (historical) meaning, (urban) function and (spatial) form, through changing contradictions and actors within political, social and economic...

Least-squares spectral element method with implicit time integration for the inviscid Burgers equation

This paper describes the use of the Least-Squares Spectral Element Method for non-linear hyperbolic equations. The one-dimensional inviscid Burgers equation is specifically subject of investigation. A second order backward difference method is used for time stepping. The behaviour of this formulation is examined by application to a testcase...

Error convergence of the Least-Squares Spectral Element formulation of the linear advection-reaction equation

This paper discusses the use of the Least-Squares Spectral Element Method in solving the linear, 1-dimensional advection-reaction equation. Well-posedness of the Least-Squares formulation will be derived. The formulation and its results will be compared to the standard Galerkin Spectral Element Method.

Application of Least-Squares Spectral Element Methods to Polynomial Chaos

This papers describes the use of the Least-Squares Spectral Element Method to polynomial Chaos to solve stochastic partial differential equations. The method will be described in detail and a comparison will be presented between the least-squares projection and the conventional Galerkin projection.

Constrained least-squares methods for partial differential equations

Least-squares methods for partial differential equations are based on a norm-equivalence between the error norm and the residual norm. The resulting algebraic system of equations, which is symmetric positive definite, can also be obtained by solving a weighted collocation scheme using least-squares to solve the resulting algebraic equations....

A study of fluid flow and heat transfer of three-dimensional plate-fin and tube heat exchangers by the least-squares finite element method

A numerical calculation procedure based on the least-squares finite element method (LSFEM) is employed to study the fluid flow and heat transfer in a 3-D heat exchangers with in-lined and staggered multiple-row (4 rows) tubes. In this study, the fin pitch of the heat exchanger is 8 fins per inch and the fluid flow is assumed steady,...

Numerical study of turbulent flow around a square cylinder using low-Reynolds-number k-e model

This paper discusses the abilities of two different low-Reynolds-number eddy-viscosity models in resolving the complex physical features that arises in turbulent flows around a square cylinder at Re=22000. For the modeling of turbulence, the Launder & Sharma (LS) [1] and Kawamura & Kawashima (KK) [2] low-Re models have been employed. The present...

A Practical Real Gas Model in CFD

Polynomial functions are generated to describe real gas properties in computational fluid dynamics (CFD). Two-variable relative least square fitting is applied. In this way the real gas model can be generated fast and easily and the computational time requested is small and precision of the function can be easily adjusted. In this paper this...

Time Dependent Flow Simulations using the Least Squares Spectral Element Method with Direct Minimization

In this work a new approach to time dependent problems in combination with the Least-Squares Spectral Element Method (LSQSEM) will be discussed. Various time-stepping formulations will be presented. These time-stepping formulations will be compared to the full space-time formulation. It will be shown that time-stepping formulations give accurate...