To improve the understanding of how static mixers work and how to better utilize them in environmental engineering ~or, specifically, drinking water treatment!, a numerical model for simulating turbulent flows in helical static mixers is developed. The model solves the three-dimensional, Reynolds-averaged Navier-Stokes equations, closed with the k-v turbulence model, using a second-orderaccurat...

MSc THESIS APPLIED MATHEMATICS " Numerical treatment of stochastic control problems by Fourier-cosine expansions, the dike height problem " I would like to acknowledge the advice and guidance of my supervisor Prof.dr.ir. C.W. Oosterlee. I also thank the members of my graduate committee and the members of the department at the CWI. Special thanks go to Bowen Zhang and Fang Fang, for helping me w...

The problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated fromHertz problem—is reduced to an integral equation. A numerical method is adapted to determine the pressure between the two surfaces under certain conditions.

We put forward a new method for the solution of eigenvalue problems for (systems of) ordinary differential equations, where our main focus is on eigenvalue problems for singular Schrödinger equations arising, for example, in electronic structure computations. Here, the generation of the starting values for the computation of eigenvalues of higher index is a critical issue. Our approach comprise...

In this paper, the boundary value problems for nonlinear third order differential equations are treated. A generic approach based on nonpolynomial quintic spline is developed to solve such boundary value problem. We show that the approximate solutions of such problems obtained by the numerical algorithm developed using nonpolynomial quintic spline functions are better than those produced by oth...

A meshless numerical technique is proposed for solving the generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system with electromagnetic fields. The employed meshless technique is based on a generalized smoothed particle hydrodynamics (SPH) approach. The spatial direction has been discretized with the generalized SPH technique. Thus, we obtain a system of ordinary...

We describe in some detail our numerical treatment of Neuberger’s lattice Dirac operator as implemented in a practical application. We discuss the improvements we have found to accelerate the numerical computations and give an estimate of the expense when using this operator in practice. Talk given by K.J. at the “Interdisciplinary Workshop on Numerical Challenges to Lattice QCD”, Wuppertal, Au...