LEADER 04218nam 22007815 450 001 9911007352403321 005 20260211101508.0 010 $a3-031-87341-6 024 7 $a10.1007/978-3-031-87341-6 035 $a(CKB)39160310200041 035 $a(MiAaPQ)EBC32145196 035 $a(Au-PeEL)EBL32145196 035 $a(DE-He213)978-3-031-87341-6 035 $a(OCoLC)1522809163 035 $a(EXLCZ)9939160310200041 100 $a20250603d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Difference Methods for Compressible Two-Fluid Dynamics /$fby Khosro Shahbazi 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (364 pages) 225 1 $aForum for Interdisciplinary Mathematics,$x2364-6756 311 08$a3-031-87340-8 327 $aIntroduction and Basic Dynamics of Compressible Medium -- Interpolation and High-Order Non-Linear Finite Difference Schemes.-Approximation On and Near Boundary -- High-Order Time Integration Methods -- High-order Nonlinear Schemes for Nonlinear Conservation Laws -- Schemes for Compressible Two-Fluid Model -- Schemes for Compressible Two-Fluid Navier-Stokes Equations.-Thermodynamic Property Relations for Two-Phase Modeling -- Mixture Theory Modeling of Compressible Two-Phase Systems. 330 $aFinite Difference Methods for Compressible Two-Fluid Dynamics provides the essentials of high-order numerical methods for compressible single-fluid and two-fluid transport phenomena. This book can serve as a first course on the numerical methods for transport phenomena or fluid dynamics for students in mechanical, aerospace, and chemical engineering, applied mathematics, and physics at the senior level of an undergraduate or graduate degree. It also provides foundations and algorithmic details for implementing the most recent numerical schemes for compressible flows and extending them to include other physics, such as elasticity, reaction, and magnetohydrodynamics. The book's presented schemes enable computations for broad applications, including shock-induced interfacial instability and turbulence, shock-bubble interactions, and detonation, to name a few. For a broad reach and impact, the numerical schemes satisfy the simultaneous requirements of simplicity, extendibility, and efficiency on serial and parallel computers. The physics of the compressible single- and two-fluid system also guide the design and analysis of the numerical methods. The enabled direct numerical simulations also help obtain accurate data for tuning the emerging physics-based neuromorphic algorithms. 410 0$aForum for Interdisciplinary Mathematics,$x2364-6756 606 $aMathematics 606 $aChemometrics 606 $aFluid mechanics 606 $aMathematical physics 606 $aApplications of Mathematics 606 $aMathematical Applications in Chemistry 606 $aEngineering Fluid Dynamics 606 $aMathematical Physics 606 $aMatemātica$2thub 606 $aQuimiometria$2thub 606 $aFísica matemātica$2thub 606 $aDināmica de fluids$2thub 606 $aAplicacions (Matemātica)$2thub 606 $aMecānica de fluids$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematics. 615 0$aChemometrics. 615 0$aFluid mechanics. 615 0$aMathematical physics. 615 14$aApplications of Mathematics. 615 24$aMathematical Applications in Chemistry. 615 24$aEngineering Fluid Dynamics. 615 24$aMathematical Physics. 615 7$aMatemātica. 615 7$aQuimiometria 615 7$aFísica matemātica 615 7$aDināmica de fluids 615 7$aAplicacions (Matemātica) 615 7$aMecānica de fluids 676 $a519 700 $aShahbazi$b Khosro$01823179 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911007352403321 996 $aFinite Difference Methods for Compressible Two-Fluid Dynamics$94389706 997 $aUNINA