Efficient Numerical Methods for Nonequilibrium Re-Entry Flows

Abstract

We propose a new implicit computational fluid dynamics method for steady-state compressible reacting flows. The concept is to decouple the total mass, momentum, and energy conservation equations from the species mass and internal energy equations, and to solve the two equation sets sequentially. With certain approximations to the implicit system, it is possible to dramatically reduce the cost of the solution with little to no penalty on convergence properties. Importantly, the cost of the decoupled implicit problem scales linearly with the number of species, as opposed to the quadratic scaling for the conventional fully-coupled method. Furthermore, the new approach reduces the memory requirements by a significant factor. The decoupled implicit method shows promise for application to aerothermodynamics problems and reacting flows.

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Document Details

Document Type
Technical Report
Publication Date
Jan 14, 2014
Accession Number
AD1040624

Entities

People

  • Graham V. Candler

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aerothermodynamics
  • Air Force Research Laboratories
  • Boundary Layer
  • Chemical Kinetics
  • Chemical Reactions
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Energy Conservation
  • Equations
  • Fluid Dynamics
  • Heat Transfer
  • Physics Laboratories
  • Steady State
  • Thermodynamics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

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