Issue N^{o} 3, 1994 
THE PROPERTIES OF GRAVITATIONAL TURBULENT MIXING MODELS FOR NONSELFSIMILAR PROBLEMS
V.E.Neuvazhaev VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 310.
New results obtained by the author when studying the properties of k and kεmodels commonly used for applications problems related to IF, are given. Four types of problems are considered. These problems are relatively complicated and are not only interesting by themselves, but may serve the tests for comparison with other models. All results are obtained in analytical form which allows to formulate general rules.

A CONSISTENT ITERATION ACCELERATION METHOD FOR 2D TRANSPORT EQUATIONS ON NONORTHOGONAL MESHES WITH DS_{n}METHOD SCHEMES V.V. Evdokimov, R.M. Shagaliev VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 1117.
A consistent flow convergence acceleration method (FCA) is proposed for simple iterations (collision integral iterations) for numerical solution of 2D transport equations with DSn method schemes. The method is developed for general case, when space meshes are nonorthogonal and weight factors of difference scheme are space point functions. For some test problems, proving the efficiency of the proposed acceleration method comparative calculational results are included.

A MAXIMUM PRINCIPLE FOR RADIATIVE TRANSFER EQUATION SYSTEM WITH ELECTRONIC AND IONIC HEAT CONDUCTION M.Yu. Kozmanov VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 1820.
In this article a maximum principle for the frequency dependent radiative transfer equations is formulated and proved. Medium is considered fixed, but electronic and ionic heatconductions are taken into account.

CALCULATIONAL METHOD FOR TRANSPORT AND DEPOSITION OF AEROSOL EMISSION IN AIR N.V. Ivanov, S.N. Nikonov, V.N. Piskunov VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 2125.
A prediction technique based on Monte Carlo method is presented for environment contamination due to industrial and abnormal release in air. An air parameter model used for urgent prediction is given. Also discussed are the resources of definition for emission solid source and aerosol dispersed composition in it. The characteristics of the applications program for calculations on PC/AT are briefly described.

SOLVING NEUTONLORENTS EQUATIONS IN EMC2D COMPLEX E.V. Diyankova, O.S. Shirokovskaya VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 2632.
A modification of a wellknown Boris scheme is proposed for NeutonLorents equation solution when simulating selfconsistent motion of charged particles. In general case a modificated scheme has the 2^{nd} order accuracy and in case of nonrelativistic motion and constant fields the accuracy reaches the 4^{th} order. In nonlinear case the scheme is completed with iteration algorithm. The examples of numerical calculations presented here show that the modification proposed and iteration algorithm allow to obtain more precise characteristics of a moving particle.

AN ALGORITHM FOR AUTOMATED GENERATION OF A CURVILINEAR GRID INITIAL APPROXIMATION FOR STARSHAPED DOMAINS I.A. Gasilova VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 3340.
An algorithm for automated generation of the initial approximation of a curvilinear coordinate grid for singleconnection twodimensional starshaped domains with a boundary consisting of a finite number of line segments is proposed. Whether the domain belongs to the starshaped domain class is determined by means of Rfunctions and simple geometric constructions. Examples of constructed grids for various starshaped domains are given.

INERTIAL 3D FLOW OF NONVISCOUS INCOMPRESSIBLE FLUID Yu.A. Bondarenko VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 4146.
General form of 3D flow of nonviscous incompressible fluid with constant pressure is found. The fact, that there are 3 types of such solutions, is proved. The first type  is the constant velocity. In the second type two velocity components are the functions of the third component (such solutions are already known). In the third type of solutions one velocity component is the function of two other components. General solution of the third type is implicitly defined from a system of 3 equations with 3 arbitrary functions, each of two arguments.

LADA  COSTEFFICIENT ALGORITHM AND PROGRAM FOR GENERATION OF TWODIMENSIONAL CURVILINEAR OPTIMAL ADAPTIVE GRIDS IN SINGLECONNECTION COMPLEX GEOMETRY DOMAINS O.V. Ushakova VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 4756.
Algorithm and program for generation of curvilinear optimal adaptive grids in twodimensional single connection regions are described. The algorithm represents a special procedure of minimizing the grid quality functional which is constructed by means of weight function equidistribution principle and geometrical approach. The results of computations are given.

INTERPOLATION EQUATION OF STATE FOR WATER AND VAPOUR L.F. Gudarenko, V.A. Zherebtsov VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 5764.
The paper seeks to construct a tabulatedanalytical equation of state on the basis of the tables with thermodynamic data for water and water vapour. Table data approximation is performed with polynomial spline functions. The equation of state allows to compute thermodynamic functions together with their derivatives with respect to any of the following three pairs of variables: density  temperature, density  energy, density  pressure. The domain described by the equation of state is the following: density — 0 < ρ < 1 g/cm^{3}; pressure  0 < P < 0,1 GPa; specific energy  0 < E <3,7kJ/g; temperature  0 < T < 800ºC. The equation is intended to compute a compressible medium flow when choosing structural elements of power systems and to substantiate their carrying capability.

VARIATIONAL DIFFERENCE SCHEME STABILITY FOR LINEAR AXISYMMETRIC ELASTICITY Yu.A. Bondarenko, V.I. Selin VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 6577.
The generation of multiparameter finitedifference CREST schemes using sequential variational method for isotropic elasticity at rectangular meshes is described. Stability and conservation of momentum and total energy are proved. Nonstability is discovered in linear analog of a wellknown Wilkins scheme.

ON EXPERIENCE OF REGULAR MESH GENERATION PROGRAM IMPLEMENTATION ON SIMD ARCHITECTURES EXEMPLIFIED BY PC 2100 S.M. Bakhrakh, S.P. Egorshin VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 3. P. 7880.
The implementation experience is described for algorithms of generation and calculational support for regular meshes, used in EGAK complex on PS2100 multiprocessor.

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