Method for increased accuracy in Eulerian fluid dynamics calculations

Authors:
  • WRW.C. Rivard
    W.C. Rivard
  • OFO.A. Farmer
    O.A. Farmer
  • TBT.D. Butler
    T.D. Butler
  • POP.J. O'Rourke
    P.J. O'Rourke

Abstract
A method for increased accuracy in Eulerian fluid dynamics calculations is described. The essence of the method is local cancellation of low-order, diffusional truncation errors. These errors are the source of nonlinear numerical instabilities. The methodology is described in general and specific application is made to the transient, two-dimensional flow equations for chemically reacting mixtures. Two example problems are solved to illustrate the method. For comparison, the same problems are solved with an artificial viscosity technique. (auth)
Funding Information
  • DOE (W-7405-ENG-36)