LEADER 04623nam 2200661Ia 450 001 9910810919003321 005 20240410102745.0 010 $a1-280-22603-X 010 $a9786610226030 010 $a1-4237-2623-5 010 $a1-904602-47-9 035 $a(CKB)1000000000032811 035 $a(EBL)258187 035 $a(OCoLC)171582387 035 $a(SSID)ssj0000262887 035 $a(PQKBManifestationID)11221828 035 $a(PQKBTitleCode)TC0000262887 035 $a(PQKBWorkID)10271997 035 $a(PQKB)11324919 035 $a(PQKBManifestationID)16031731 035 $a(PQKB)20798410 035 $a(MiAaPQ)EBC258187 035 $a(Au-PeEL)EBL258187 035 $a(CaPaEBR)ebr10088425 035 $a(CaONFJC)MIL22603 035 $a(EXLCZ)991000000000032811 100 $a20040623d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTurbulence$b[electronic resource] $enew approaches /$fO.M. Belotserkovskii, A.M. Oparin and V.M. Chechetkin 210 $aCambridge $cCambridge International Science Publishing$dc2005 215 $a1 online resource (294 pages) 300 $aDescription based upon print version of record. 311 $a1-904602-22-3 320 $aIncludes bibliographical references and indexes. 327 $aPreliminaries; Contents; 1. Fundamental aspects of the direct numerical modelling of free turbulence and hydrodynamic instabilities; 1.1. Introduction; 1.2. Problem of ration 'averaging' in numerical examination of turbulence; 1.3. Some experimental assumptions; 1.4. General formulation of the problem; 1.5. Modelling of coherent structures in tirbulence; 1.6. Correctness of formulation of the problem; 2. Computing problems and methods of examining nonlinear multidimensional problems; 2.1. General assumptions of construction of numerical algorithms for calculations using supercomputers 327 $a2.2. Some numerical methods for calculatio of multidimensional nonlinear processes2.3. Effective quasi-monotonic hybrid scheme for gas-dynamic calculations; 2.4. Substitution of grid functions of dependent variables in finite-difference equations; 2.5. Decomposition of problems of numerical modelling, described by hyperbolic equations, on parallel computers; 2.6. Mathematical modelling of an explosion of a supernova in a parallel computer; 3. Selected results; 3.1. Calculations of coherent structures in a near wake behind a solid for limiting motion regimes 327 $a3.2. Numerical modelling of stochastic components of turbulence (turbulent background)3.3. Statistical modelling of flows of free turbulence in a long-range wake; 3.4. Formation of large-scale structures in a gap between rotating cylinders (Rayleigh-Zel'dovich problem); 3.5. Numerical simulation of the problems of development of hydrodynamic instabilities and turbulent mixing; 3.6. Numerical modelling of the processes of propagation of an impurity in the atmosphere from a large-scale source; 4. Astrophysical turbulence, convection and instabilities; 4.1. Turbulence 327 $a4.2. The structure of the accretion disc4.3. Effect of viscosity on the morphology of the flow of matter in semi-divided binary systems. Results of three-dimensional numerical modelling; 4.4. Large-scale structure of turbulence in accretion discs; 4.5. Convective instability in astrophysics; Conclusions; References; Index 330 $aThe authors present the results of numerical experiments carried out to examine the problem of development of turbulence and convection. On the basis of the results, they propose a physical model of the development of turbulence. Numerical algorithms and difference schema for carrying out numerical experiments in hydrodynamics, are proposed. Original algorithms, suitable for calculation of the development of the processes of turbulence and convection in different conditions, even on astrophysical objects, are presented. The results of numerical modelling of several important phenomena having b 606 $aTurbulence 606 $aFluid dynamics 615 0$aTurbulence. 615 0$aFluid dynamics. 676 $a532.0527 700 $aBelot?serkovskii?$b O. M$g(Oleg Mikhai?lovich)$01669092 701 $aOparin$b A. M$g(Aleksei? Mikhai?lovich)$01675883 701 $aChechetkin$b V. M$g(Valerii? Mikhai?lovich)$01675884 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910810919003321 996 $aTurbulence$94041675 997 $aUNINA