From charlesreid1

Revision as of 20:46, 28 January 2014 by Admin (talk | contribs) (→‎Numerics)

Overview of Cantera

  • Capabilities
    • High level division of Cantera's capabilities
    • Zero-D, One-D, phase objects, numerics
  • Division of capabilities should roughly follow how Cantera source code is divided
    • Apps - utilities for converting between Chemkin and Cantera file formats, parsing input files, comparing output files, etc.
    • Base - more utilities for array storage, printing and logging, XML file parsing, Cantera errors/exceptions,
    • Clib - code for C API
    • Converters
    • Equil
    • Fortran - code for Fortran API
    • Kinetics - classes for getting/setting/calculating reaction network quantities (net production rate source terms, reaction rate parameters, etc.)
    • Matlab - code for Matlab API
    • Numerics - classes for solving ordinary differential equations, evaluating Jacobians, Newton methods, constructing and solving matrices, etc.
    • OneD - classes relating to one-dimensional simulations (domains, stacks, one-dimensional flame simulations, etc.)
    • Python - code for Python API
    • Spectra
    • Thermo
    • TPX
    • Transport
    • ZeroD - classes relating to zero-dimensional Reactors (Reactor, Wall, etc.)

Thermodynamics

  • Somewhere in our algorithm, looping over domain (or for the single reactor control volume), and we're saying, "update thermo and transport parameters" - focus on how this is being done, what classes its using, what capabilities are available
  • Single phase
    • Mixtures
    • Equations of state
    • Equilibrium
    • Piston-cylinder systems
  • Multiphase
    • What thermodynamics is there for multiphase systems?
    • Heat transfer to-from surface

Kinetics

  • Discussion of kinetics
    • Cantera/Kinetic Mechanisms Kinetic mechanisms
      • Theory of chemical reactions
      • Definitions of quantities involved in chemical reactions
      • Theoretical information needed (by Cantera) to define reaction mechanisms
      • Cantera/CTI Files Specification of reaction kinetics in CTI files
      • Specification of reaction kinetics in XML files

Transport

  • BSL
  • Heat transfer
    • Heat diffusivity
    • Heat transfer coefficients
  • General discussion: non-dimensional analysis, how it relates to Cantera
    • Prandtl matlab examples - comparing transport properties (Prandtl number) for mixture-averaged and multicomponent models

Reactor Design

  • Description of generic Cantera reactors, canonical CHE reactor types
  • Cantera/Reactor Equations General Cantera reactor equations
  • Cantera/Integral and Differential Reactors Integral vs. differential reactors
  • Isothermal vs. non-isothermal reactors
  • Heterogeneous vs. homogeneous
  • Transport effects in reactors
  • Fogler, Froment/Bischoff, Belfiore

Numerics

  • Cantera/Structure Structure of Cantera: "numerics" layer and "constitutive equations" layer
  • Ordinary differential equations
    • Cantera formulation, reactor equations
    • ODE as primary problem type being solved in Cantera
    • Cantera numerics, ODE solver sophistication
    • Have ALREADY shown, with a simple Fipy time integrator, that Sundials has a lot of sophistication... that sophistication is NECESSARY for kinetics/reaction equations
  • Surface coverage equations
    • Surface species treated as control volume properties
    • Packaged up into the Reactor's solution vector
    • The hack that makes a boundary condition into part of the domain
  • Partial differential equations
    • Cantera solutions to one-dimensional systems
    • Assumptions being made for each problem type (axisymmetric, stagnation, etc.)
  • Assorted numerical topics
    • Newton's method
    • Linear algebra
    • Jacobians
  • Initial value problems
  • Boundary value problems
  • Advanced boundary conditions
  • Strategies for coupling Cantera with CFD
    • Cantera/Fipy PFR external numerical library for solving spatial boundary value problem
    • Interfacing with Chemkin-like programs (Fluent)
    • Constructing your own numerical ODE/PDE solver
    • Scipy: simple kinetic equation integration using Scipy
    • Fipy: simple diffusion problem, coupling with Cantera
    • Fipy: more complex reactor equation(s) and coupling with Cantera

Optimization

  • Not going into too much depth
  • Optimizing kinetic parameters to fit data
  • Optimizing other variables to maximize reactor performance

Mechanics