LEADER 04880nam 22005895 450 001 9910337631103321 005 20200701034114.0 010 $a3-030-13543-8 024 7 $a10.1007/978-3-030-13543-0 035 $a(CKB)4100000007746674 035 $a(MiAaPQ)EBC5720256 035 $a(DE-He213)978-3-030-13543-0 035 $a(PPN)23500426X 035 $a(EXLCZ)994100000007746674 100 $a20190226d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows $eVolume I: Theoretical Background and Development of an Anisotropic Hybrid k-omega Shear-Stress Transport/Stochastic Turbulence Model /$fby László Könözsy 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (152 pages) 225 1 $aFluid Mechanics and Its Applications,$x0926-5112 ;$v120 311 $a3-030-13542-X 327 $a1 Introduction -- 1.1 Historical Background and Literature Review -- 1.2 Governing Equations of Incompressible Turbulent Flows -- 1.3 Summary -- References -- 2 Theoretical Principles and Galilean Invariance -- 2.1 Introduction -- 2.2 Basic Principles of Advanced Turbulence Modelling -- 2.3 Summary -- References -- 3 The k-w Shear-Stress Transport (SST) Turbulence Model -- 3.1 Introduction -- 3.2 Mathematical Derivations -- 3.3 Governing Equations of the k-w SST Turbulence Model -- 3.4 Summary -- References -- 4 Three-Dimensional Anisotropic Similarity Theory of Turbulent Velocity Fluctuations -- 4.1 Introduction -- 4.2 Similarity Theory of Turbulent Oscillatory Motions -- 4.3 Summary -- References -- 5 A New Hypothesis on the Anisotropic Reynolds Stress Tensor -- 5.1 Introduction -- 5.2 The Anisotropic Reynolds Stress Tensor -- 5.3 An Anisotropic Hybrid k-w SST/STM Closure Model for Incompressible Flows -- 5.4 Governing Equations of the Anisotropic Hybrid k-w SST/STM Closure Model -- 5.5 On the Implementation of the Anisotropic Hybrid k-w SST/STM Turbulence Model -- 5.6 Summary -- References -- Appendices: Additional Mathematical Derivations -- A.1 The Unit Base Vectors of the Fluctuating OrthogonalCoordinate System -- A.2 Galilean Invariance of the Unsteady Fluctuating VorticityTransport Equation -- A.3 The Deviatoric Part of the Similarity Tensor. 330 $aThis book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering. 410 0$aFluid Mechanics and Its Applications,$x0926-5112 ;$v120 606 $aFluid mechanics 606 $aFluids 606 $aComputer mathematics 606 $aProbabilities 606 $aEngineering Fluid Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15044 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aFluid mechanics. 615 0$aFluids. 615 0$aComputer mathematics. 615 0$aProbabilities. 615 14$aEngineering Fluid Dynamics. 615 24$aFluid- and Aerodynamics. 615 24$aComputational Science and Engineering. 615 24$aProbability Theory and Stochastic Processes. 676 $a532.0527015118 676 $a532.0527015118 700 $aKönözsy$b László$4aut$4http://id.loc.gov/vocabulary/relators/aut$0999615 906 $aBOOK 912 $a9910337631103321 996 $aA New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows$92294603 997 $aUNINA