Analysis and Application of the Pade' Approximation for the Integration of Chemical Kinetic Equations

Abstract

A stable numerical technique is given for the integration of the fluid flow equations involving finite rate chemical kinetics. The procedure permits a significantly larger integration step than standard procedures, such as Runge-Kutta. Consequently, the amount of digital computer time to numerically integrate the equations over a specified domain is greatly reduced. To simplify the implementation of the numerical procedure for generic chemical systems, a programming system has been developed that automatically generates the necessary subroutines from a few inputs. The extension and application of the numerical method to partial differential equations is also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1967
Accession Number
AD0819093

Entities

People

  • D. Magnus
  • H. Schecter

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Chemical Kinetics
  • Chemical Reactions
  • Chemistry
  • Computer Programming
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Equations
  • Flow
  • Fluid Flow
  • Numerical Integration
  • Partial Differential Equations
  • Procedures (Computers)
  • Standards

Fields of Study

  • Mathematics

Readers

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