A global gyrokinetic toroidal particle code for a 3D nonlinear simulation (GT3D) has been developed to study the ion temperature gradient driven-trapped electron mode (ITG-TEM) turbulence in reactor relevant tokamak parameters [1]. In GT3D, gyrokinetic ions and drift-kinetic (trapped) electrons are solved using a finite-element PIC method. The code uses a new δf method based on a canonical Maxw...

Abstract  In this paper , the nonlinear the nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate with rigid core is formulated in terms of von-Karman’s dynamic equation , and a semi-analytical approach is developed.Functionally graded material (FGM) properties vary through the thickness of the plate.FGM s are spatial composites within which material prop...

Demonstrating speedup for parallel code on a multicore shared memory PC can be challenging in MATLAB due to underlying parallel operations that are often opaque to the user. This can limit potential for improvement of serial code even for the so-called embarrassingly parallel applications. One such application is the computation of the Jacobian matrix inherent to most nonlinear equation solvers...

Linear and nonlinear dynamics of various toroidicity induced global Alfvin eigenmodes is investigated by means of an initial value numerical code. The code uses the reduced magnetohydrodynamic (MHD) model expanded to the third order in the inverse aspect ratio parameter E (E = a/R,, with a the minor radius of the plasma column and R, the major radius of the vacuum chamber). Nonlinear saturation...

using the highly recommended numerical techniques, a finite element computer code is developed to analyse the steady incompressible, laminar and turbulent flows in 2-d domains with complex geometry. the petrov-galerkin finite element formulation is adopted to avoid numerical oscillations. turbulence is modeled using the two equation k-ω model. the discretized equations are written in the form o...

This paper gives a short introduction into the design and the usage of the nonlinear programming code DONLP2. Only information pertinent to the users of the AMPL interface is given here. A more detailed description of the internal organization of the code, e.g. for users which might want to modify the code according to their needs, can be obtained from the sites with provide source code, e.g. n...

In the area of network coding, linear code can achieve the maximum capacity of multicast networks by a large enough alphabet. And it is insufficient for non-multicast networks. Meanwhile nonlinear code is of interest for its possibility to achieve the network coding capacity by small alphabet, or its possibility to deal with other networks. In this paper, a novel polynomial code is proposed. We...