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Computational Aspects of a Numerical Model for Combustion Flow

Gianluca Argentini

TL;DR

A computational method for numeric resolution of a PDEs system, based on a Finite Differences schema integrated by interpolations of partial results, and an estimate of the error of its solution respect to the normal FD solution.

Abstract

A computational method for numeric resolution of a PDEs system, based on a Finite Differences schema integrated by interpolations of partial results, and an estimate of the error of its solution respect to the normal FD solution.

Computational Aspects of a Numerical Model for Combustion Flow

TL;DR

A computational method for numeric resolution of a PDEs system, based on a Finite Differences schema integrated by interpolations of partial results, and an estimate of the error of its solution respect to the normal FD solution.

Abstract

A computational method for numeric resolution of a PDEs system, based on a Finite Differences schema integrated by interpolations of partial results, and an estimate of the error of its solution respect to the normal FD solution.
Paper Structure (18 sections, 2 theorems, 3 equations, 4 figures)

This paper contains 18 sections, 2 theorems, 3 equations, 4 figures.

Table of Contents

  1. Section
  2. Position of the problem
  3. Computational complexity analysis for a flow (1)
  4. Computational complexity analysis for a flow (2)
  5. A Finite Differences method and Interpolations
  6. Computational aspects of Lax-Friedrichs schema
  7. Interpolation of trajectories (1)
  8. Interpolation of trajectories (2)
  9. Interpolation of trajectories (3)
  10. Interpolation of trajectories (4)
  11. Interpolation of trajectories (5)
  12. Computation of splines values (1)
  13. Computation of splines values (2)
  14. Time for computation
  15. Estimate of LF+interpolations vs normal LF (1)
  16. ...and 3 more sections

Key Result

Theorem 1

If ${\it M_0} >$0, there are two positive constants A and B such that

Figures (4)

  • Figure 1: Combustion head and chamber for burner.
  • Figure :
  • Figure :
  • Figure :

Theorems & Definitions (2)

  • Theorem 1
  • Corollary 1