Development of Implicit Compact Methods for Chemically Reacting Flows

Abstract

This project has focused on the design of numerical algorithms that are well suited to the computation of time-dependent chemically reacting flows with finite-rate kinetics and detailed transport. High order compact finite differences have been used to discretize the spatial operators since the spectral-like resolution of the small scales makes it feasible to conduct accurate, long-time computations of multi-dimensional flames burning real fuels. In view of the stiffness of the chemical mechanisms characterizing these fuels, implicit time integration techniques have been employed. The fully coupled implicit-compact solver developed during this grant has been successfully applied to a sequence of test problems, from convection-diffusion equations with analytical solutions to multi-component low-speed heated jet flows in two dimensions to a model premixed flame with two step Arrhenius chemistry.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 2009
Accession Number
ADA495452

Entities

People

  • Marshall Long
  • Mitchell D. Smooke

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Chemistry
  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Convection
  • Differential Equations
  • Diffusion
  • Equations
  • Flow
  • Fluid Dynamics
  • Jet Flow
  • Linear Algebra
  • Mechanical Engineering
  • Partial Differential Equations
  • Two Dimensional

Readers

  • Combustion science or combustion engineering.
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)