Interdisciplinary Applied Mathematics

Скачать в pdf «Interdisciplinary Applied Mathematics»


15.2.2    Interpolation Between Domains…………577


15.3    Multiscale Analysis of Microfilters …………..578


15.3.1    Stokes/DSMC Coupling…………….579


15.3.2    Navier-Stokes/DSMC Coupling…………584


15.4    The Boltzmann Equation……………….588


15.4.1    Classical Solutions……………….592


15.4.2    Sone’s Asymptotic Theory……………596


15.4.3    Numerical Solutions………………606


15.4.4    Nonisothermal Flows………………611


15.5    Lattice-Boltzmann Method (LBM)…………..611


15.5.1    Boundary Conditions ……………..618


15.5.2    Comparison with Navier-Stokes Solutions……618


15.5.3    LBM Simulation of Microflows…………620


16    Multiscale Modeling of Liquid    Flows    625


16.1    Molecular Dynamics (MD) Method…………..626


16.1.1    Intermolecular Potentials ……………628


16.1.2    Calculation of the Potential Function ……..634


16.1.3    Thermostats ………………….638


16.1.4    Data Analysis………………….640


16.1.5    Practical Guidelines………………646


16.1.6    MD Software………………….648


16.2    MD-Continuum Coupling……………….648


16.3    Embedding Multiscale Methods…………….656


16.3.1    Application to the Poisson-Boltzmann Equation . . 657


16.3.2    Application to Navier-Stokes Equations…….659


16.4    Dissipative Particle Dynamics (DPD) …………663


16.4.1    Governing Equations………………665


16.4.2    Numerical Integration……………..668


16.4.3    Boundary Conditions ……………..673


17    Reduced-Order Modeling    677


17.1    Classification……………………..677


17.1.1    Quasi-Static Reduced-Order    Modeling……..678


17.1.2    Dynamical Reduced-Order Modeling………679


17.2    Generalized Kirchhoffian Networks…………..680


17.2.1    Equivalent Circuit Representation……….681


17.2.2    Description Languages……………..689


17.3    Black Box Models …………………..695


17.3.1    Nonlinear Static Models…………….695


17.3.2    Linear Dynamic Models…………….697


17.3.3    Nonlinear Dynamic Models…………..701


17.4    Galerkin Methods …………………..705


17.4.1    Linear Galerkin Methods ……………705


17.4.2    Nonlinear Galerkin Methods    ………….717


18    Reduced-Order Simulation    721


18.1    Circuit and Device Models for Lab-on-a-Chip Systems . . . 721


18.1.1    Electrical Model………………..723


18.1.2    Fluidic Model………………….725


18.1.3    Chemical Reactions: Device    Models ………730


18.1.4    Separation: Device Model……………731

Скачать в pdf «Interdisciplinary Applied Mathematics»

Метки