Issue N^{o} 1, 1994 
COMPUTING THERMODYNAMIC FUNCTIONS IN TWOPHASE LIQUIDVAPOUR REGION USING SPLINEAPPROXIMATION
L.F. Gudаrenко, V.A. Zherebtsоv VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 37.
Computing method for thermodynamic functions in twophase liquidvapour region using iterationless algorithms is presented. The calculations require thermodynamic function values specified at twophase region boundaries and approximation of them by polynomial values cubic and quadratic. The above method allows to compute thermodynamic function values together with their derivatives with respect to any of the following three pairs of variables: density  temperature, density  pressure, densityenergy.

NUMERICAL SIMULATION OF HIF TARGET DYNAMICS USING A HEATCONDUCTING GAS DYNAMICS APPROXIMATION V.T. Zhuкоv, A.V. Zabrоdin, V.S. Imshennik, O.B. Feodoritova VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 818.
Numerical and analytical investigations of HIF (heavy ion fusion) target dynamics are carried out. The influence of perturbations on compression process is investigated. A special attention is given to the RayleighTaylor instability. The calculations are based on difference discretization of 2D timedependent equations of heatconducting gas dynamics. The presentation of compression process of target and significance of little perturbations in this process is obtained. The smallscale perturbations (about thickness of shells) are described with the crude analytical approximations.

BLOCK  STRUCTURED OPTIMAL GRIDS O.B. Khairullina VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 1925.
New variant of method and "MOPS2a" program for generation of optimal curvilinear blockstructured grids in multiplyconnected twodimensional regions of complex geometries is described. This variant permits to reduce essentially the volume of input information, to automatize the overlapping of blocks. For all main topologies the results of computations are given.

METHODS AND PROGRAMS FOR POLYDISPERSE IMPURITY PROPAGATION IN ATMOSPHERE M.I. Avramenko, E.S. Andreev, A.P. Vasil´ev, V.Yu. Gusev, M.Yu. Kоzmanоv, V.F. Kuropatenko, E.B. Raсhilоv, V.A. Simonenкo VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 2631.
The paper describes the special features of ECOL, TREC, RIM codes destined for simulation of impurity propagation in atmosphere. Some numerical results are given.

NUMERICAL STUDY OF ITERATION CONVERGENCE ON SUBDOMAINS TOR SOLUTION OF TIMEDEPENDENT NEUTRON TRANSTORT EQUATION O.V. Butneva, V.A. Shumilin VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 3235.
Internal boundary condition influence upon the number of iterations in solution of time dependent neutron transport equation is discussed. Internal boundary condition iterations coincide with collision integral iterations. The method of correction is used for convergence acceleration. Iteration convergence speed is numerically studied in solution of transport equation on subdomains for 1D and 2D cases. A comparison with onedomain calculations is performed.

AUTOMATIZING DATA PREPROCESSING AND MONITORING FOR CALCULATION OF BLOCKEDREGULAR MESHES G.P. Prokopov VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 3644.
A noninteracting system of initial data preprocessing is described for 2D regular mesh calculation in singlelink and multilink domains. Calculated domain contour is assumed to be specified by reference point system. The algorithms are presented for discrete reproduction of the arcs, connecting the neighbouring reference points. The prototype of calculated domain is automatically formed on node number plane in difference mesh. It is divided then into blocks of simple structure. The task monitoring and initial data preprocessing facilities for the following mesh calculations are given.

THE CONSERVATIVEWAVE METHOD FOR ONE DIMENSION HYPERBOLIC CONSERVATION LAWS SYSTEMS. 1. CONCEPTION AND LINEAR PROBLEMS V.A. Svidinsky VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 4551.
The conception of the throughout projection numerical method based on continuous argument functions is presented. Taking as a basis the wave nature of solutions for a hyperbolic system so called wave variables that are most adequate to each wave type are involved. Numerical method is based on analytical description of solution evolution as approximate splitting on superposition of different waves. Thus obtained standard solution of complex structure is simplified by the projection operator taking into account conservative variables balances. The technology of CWmethod is illustrated for a linear equation and a linear system. It is shown that the numerical solution coincides with exact solution for certain conditions.

THE CONSERVATIVEWAVE METHOD FOR ONE DIMENSION HYPERBOLIC CONSERVATION LAWS SYSTEMS. 2. NONLINEAR PROBLEMS V.A. Svidinskу VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 5257.
Developing the CWmethod technology on nonlinear problems is considered. Consideration of heterogeneity of wave velocity is demonstrated on the nonlinear scalar equation. Consideration of nonlinear connections between wave and conservative variables is illustrated for the model system.

SELECTING MESH TOPOLOGY TO SOLVE AERODYNAMIC PROBLEMS V.V. Vyshinsky, S.A. Kravchenko, A.M. Sоrokin VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 5867.
Aerodynamic calculation of transonic flow over 2body system is studied. The effect of calculated mesh topology and boundary constraints statement concerned with it over accuracy of results, physical properties and obtained solution conduct is examplified using one and the same boundary problem algorithm to timedependent Eulerian equation. The paper illustrates the possibility of different approaches towards mesh selection in solving of aerodynamic problems. The comparison of obtained numerical solutions with experiments allowed to show specialties of various approaches to discretization of domains with intricate curvilinear boundaries.

APPROXIMATE SOLUTION OF 3D LAME EQUATIONS IN COMPOSITE REGION L.G. Strakhovskaya, R.P. Fedorenko/ VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 6877.
Approximation method for Lame equations on a mesh adapted to a region geometry is presented: boundaries cutting the region into zones with different physical properties run along the mesh cell boundaries. Mesh cells at a x, уplane are irregular form quadrangles, a mesh along z is specified by a table. Seidel method with multimesh acceleration is suggested for solving difference equations. Convergence iteration data and accuracy analysis for approximate solutions are given.

COMPARING 2D DIFFERENCE MESH GENERATION VARIANTS WITH INTERPOLATION FORMULAS R.N. Antоnоva, G.P. Prokopov VANT. Ser.: Mat. Mod. Fiz. Proc. 1994. No 1. P. 7884.
The possibility of formula collection extension for difference mesh generation in quadrangular region, specified by discrete node set in a contour with predefined matching using transfinite interpolation is studied. The examples are included when the invalenty requirement for feasible mapping isn´t met even in the simpliest cases.

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