In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

The vibrational Raman spectrum of CO2 is calculated by means of the algebraic model U(2) × U(3) × U(2). The Hamiltonian and the molecular polarizability tensor operators are expanded in terms of symmetry coordinates, which in turn are transformed into the algebraic representation. The derivatives of the polarizability with respect to symmetry coordinates are fitted to six experimental transitio...

Objectives . A finite-difference computational algorithm is proposed for solving a mixed boundary-value problem the Poisson equation given in two-dimensional irregular domains. Methods To solve problem, generalized curvilinear coordinates are used. The physical domain mapped to (unit square) space of coordinates. original written and approximated on uniform grid domain.The obtained results non-...

We show a framework for growth analysis of plant roots in object coordinates which is one requirement for the botanical evaluation of growth mechanisms in roots. The method presented here is appliable on long image sequences up to several days, it has no limit for the sequence length. First we estimate the displacement vector field with the structure tensor method. Thereafter we determine the p...

We present here a direct quantum dynamics method using variational multi-configuration Gaussian wavepackets. Based on the efficient multi-configuration time-dependent Hartree wavepacket propagation algorithm, it uses on-the-fly quantum chemical calculation of the potential energy and its derivatives rather than fitted surfaces. Intermediate results are stored in a database so that expensive qua...

For modelling the location of pyramidal cells in human cerebral cortex, we suggest a hierarchical point process that exhibits anisotropy form cylinders extending along z-axis. The model consists first generalised shot noise Cox for xy-coordinates, providing cylindrical clusters, and next Markov random field z-coordinates conditioned on either repulsion, aggregation or both within specified area...