A Numerical Technique for Solving Stiff Ordinary Differential Equations Associated with Reactive Flow Problems.

Abstract

An efficient and widely applicable numerical integration technique was developed to calculate the time dependent solutions of stiff ordinary differential equations associated with chemically reactive flows. A significant improvement in efficiency over the classical methods has been attained by the use of a combined second-order predictor iterated-corrector scheme which invokes an asymptotic treatment for equations which the scheme determines are stiff. The method is self-starting (i.e., does not depend on previously calculated values of the functions or derivatives). Further, since the error per step can be estimated, an appropriate time step is automatically chosen to give accurate results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1973
Accession Number
AD0764526

Entities

People

  • Jay Paul Boris
  • T. R. Young

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Efficiency
  • Equations
  • Mathematics
  • Numerical Integration

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Regression Analysis.