Towards Direct Simulations of Counterflow Flames with Consistent Numerical Differential-Algebraic Boundary Conditions

Abstract

A new approach for the formulation of boundary conditions for the counterflow configuration is presented. Upon discretization of the steady-state Navier-Stokes equations at the inflow boundaries, numerically algebraic equations are imposed as boundary conditions, while upon discretization of the unsteady Navier-Stokes equations at the outflow, differential boundaries result. It is demonstrated for symmetric potential flow that the resulting numerical differential-algebraic boundary conditions are suitable to account for the multi-directional character of the flow at the boundaries of the counterflow configuration.

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Document Details

Document Type
Technical Report
Publication Date
May 18, 2015
Accession Number
ADA626078

Entities

People

  • Josette Bellan
  • Panayotis D. Kourdis

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • California
  • Coefficients
  • Differential Equations
  • Diffusion Coefficient
  • Equations
  • Equations Of State
  • Flow
  • High Pressure
  • Jet Propulsion
  • Navier Stokes Equations
  • Potential Flow
  • Reliability
  • Simulations
  • Steady State
  • Strain Rate
  • Transport Properties

Fields of Study

  • Mathematics
  • Physics

Readers

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