# A numerical procedure for the solution of oscillatory turbulent boundary layer flow by control-volume approach

1998-09-01
Tiğrek, Şahnaz
Isobe, M
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 robust code are examined.
7th International Conference on Hydraulic Engineering Software (Hydrosoft 98)

# Suggestions

 A quadtree-based adaptively-refined cartesian-grid algorithm for solution of the euler equations Bulkök, Murat; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2005) 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 ...
 An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials Akçay, Hüseyin; Sever, Ramazan (IOP Publishing, 2014-01-01) Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.
 A Novel Numerical Method for Evaluation of Hypersingular Integrals in Electromagnetics Selcuk, Gokhun; Demir, Oguz; Koç, Seyit Sencer (2015-11-28) In this study we develop a numerical method for evaluation of hypersingular surface integrals, which arise in the solution of electric field integral equation (EFIE) via Nystrom method. Due to the divergent contribution of an infinitesimal area around the singular point, hypersingular integrals are told to be numerically intractable and analytical methods are employed for evaluation of these integrals. In this study we interpret hypersingular integrals as the second order derivative of weakly singular integ...
 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...
 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.
Citation Formats
Ş. Tiğrek and M. Isobe, “A numerical procedure for the solution of oscillatory turbulent boundary layer flow by control-volume approach,” Villa Olmo, ITALY, 1998, vol. 4, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55714.