Towards Direct Simulations of Counterflow Flames with Consistent 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 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
Jan 05, 2015
Accession Number
ADA625948

Entities

People

  • Josette Bellan
  • Kenneth Harstad
  • Panayotis D. Kourdis

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Diffusion
  • Diffusion Coefficient
  • Equations
  • Equations Of State
  • Flow
  • Fluids
  • Heat Energy
  • High Pressure
  • Jet Propulsion
  • Navier Stokes Equations
  • Payload
  • Potential Flow
  • Simulations
  • Steady State
  • Thermal Diffusion
  • Transport Properties

Fields of Study

  • Physics

Readers

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