Cover Image

Multiphysics modeling : numerical methods and engineering applications /

Show other versions (1)
Bibliographic Details
Main Authors: Zhang, Qun (Author), Cen, Song (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: London, England : Academic Press, 2016.
Subjects:
Physics > Data processing.
Physics > Mathematical models.
Physique > Informatique.
Physique > Modèles mathématiques.
Physics > Data processing
Physics > Mathematical models
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Cover; Title Page; Copyright Page; Contents; Preface; Acknowledgments; 1
  • The physics models; 1.1
  • Heat flow fundamentals; 1.1.1
  • Basic equations; 1.1.2
  • Boundary conditions; 1.1.3
  • Weak forms of the thermal equation; 1.1.4
  • The shape functions for FEM; 1.1.5
  • Formulations in matrix form; 1.1.6
  • The nonlinearity in thermal analysis; 1.1.6.1
  • Material properties; 1.1.6.2
  • Convection term from computational fluid dynamics (CFD) coupling; 1.1.7
  • Stabilization method for convection-dominant transport equations; 1.1.8
  • Penalty-based thermal contact
  • 1.1.8.1
  • The matrix equation for thermal contact1.2
  • Fluid dynamics; 1.2.1
  • Basic equations for fluid flow; 1.2.2
  • Boundary and initial conditions for fluid flow; 1.2.3
  • The constitutive equation for fluid flow; 1.2.4
  • The weak forms; 1.2.4.1
  • Galerkin formulation for N-S equations; 1.2.4.1.1
  • The shape functions; 1.2.5
  • Finite element equations; 1.2.6
  • The nonlinearity and numerical challenging in CFD; 1.2.7
  • The stabilization methods; 1.2.7.1
  • SUPG and PSPG methods; 1.2.7.2
  • Discontinuity capturing operator (Tezduyard, 2012)
  • 1.2.7.3
  • Underrelaxation method and solution capping1.2.8
  • Turbulence model in CFD; 1.2.8.1
  • k-Epsilon turbulence model; 1.2.8.1.1
  • Basic equations for the k-epsilon model; 1.2.8.1.2
  • Equations in weak form; 1.2.8.1.3
  • Boundary conditions; 1.2.8.1.4
  • Equations in matrix form; 1.2.8.2
  • Wilcox k-omega turbulence model; 1.2.8.2.1
  • Basic equations for k-omega model; 1.2.8.2.2
  • Boundary conditions; 1.2.8.2.3
  • Weak forms of k-omega model; 1.2.8.2.4
  • Equations in matrix form; 1.2.8.3
  • Procedure for solving the k-epsilon/k-omega turbulence model; 1.2.8.4
  • Large eddy simulation
  • 1.2.9
  • The general transport equations1.2.9.1
  • The governing equation of the transport equation; 1.2.9.2
  • The weak form of advection diffusion equation; 1.2.9.3
  • The SUPG stabilization for the advection-dominated advection-diffusion equation; 1.2.9.3.1
  • Central differencing approach; 1.2.9.3.2
  • Upwind method for convection-dominant transport equations (first-order accuracy); 1.2.9.4
  • Discontinuity capturing operator for the advection-diffusion equation; 1.3
  • Structural mechanics; 1.3.1
  • Governing equations for structure analysis; 1.3.2
  • The equation in matrix form
  • 1.3.5.1
  • Basic equations for thin shell structure