Numerical Analysis, № 14, 2009

The problem of an electron beam and plasma interaction, arising from the GOL-3 (BINP SB RAS) experiments, is considered. For the given problem, it is appropriate to use the collisionless plasma approach, described by a set of the Vlasov–Maxwell equations. The Vlasov equation is calculated via the particle-in-cell method. To...

A graphical user interface of the program package ERA-DD for the input and editing of initial data for a two-dimensional boundary value problem is described. The boundary of calculation domain is approximated by pieces of straight lines and circle arches. The input of the information about the boundary is provided...

In this paper a new algorithm to reduce the noise effects in the Particle-in-Cell method for the Vlasov–Poisson system is proposed. The method is demonstrated on an example of a one-dimensional Riemann problem of plasma physics. Collisionless completely ionized non-isothermic plasma is considered. The model calculates only the ion movement...

The paper deals with a family of nonlinear gradient filters that can be applied to one noisy image or several quasi-identical patterns (i.e., several images of the same object with independent noise). Such filters are based on a specific wavelet decomposition and a preliminary statistical analysis of quasi-identical patterns. Results...

In this paper, several numerical characteristics of sample randomness are discussed. These characteristics are based on the concepts of waiting time and information level of samples. The considered numerical characteristics can be used for developing the novel methods for model selection in statistical analysis.

A technique for evaluation of temperature in the Particle-in-Cell method is proposed. A number of computational experiments were conducted in order to reveal how a grid step affects the temperature evaluation according to the proposed technique both in 1D and 3D cases for electrostatic plasma. In order to prove the...

We have constructed a quasi-stationary distribution function of the rotating collisionless gravitating disk with an oblate spheroid-like structure at the center. The construction technique is based on the numerical tracking of the evolution of the initially non-stationary thin disk on time scales of dozens of rotations. We show that a...

In this paper, the PIC method with an adaptive mass is introduced. This enables us to conserve the velocity distribution, and not only density, momentum, the center of mass, energy in a cell. This is important for simulating multi-stream flows. That is why this modification was tested on the Riemann...

In this paper, a numerical model for the propagation of the shear Alfven waves (SAWs) on open magnetic field lines using a hybrid kinetic approach is presented.

There is a two-dimensional hybrid model: an ion component of plasma is described by a standard set of the MHD equations, while electrons...