Lattice Boltzmann Method for Turbulent Combustion

Abstract

Over the last few years, the Lattice Boltzmann methods - Lattice Boltzmann Equation (LBE) and Lattice Gas Automata (LGA) have made significant strides in both theory and application. On the theoretical front, rigorous mathematical proof now exists demonstrating that the LBE method is a special finite difference scheme of the Boltzmann equation that governs all fluid flow %1. (Recall that the Navier-Stokes equation also has its basis in the Boltzmann equation.) It has also been shown that the LBE method can be related to some conventional CFD methods and the proof brings to light the advantages of the LBE method. Detailed numerical studies with the LBE method have demonstrated the physical accuracy and computational tractability for solving complex fluid flow problems. In its current state, the LBE method is fully developed and well-tested for moderate- Reynolds number, isothermal flows. Many complex flow phenomena have already been studied with this approach (see recent reviews 2, 3 and references therein). The LBE method is now an accurate engineering tool for simulating inert turbulence and is at an ideal stage for extension to chemically reacting turbulent flows.

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Document Details

Document Type
Technical Report
Publication Date
Jun 19, 2001
Accession Number
ADP012102

Entities

People

  • Li-shi Luo
  • Sharath S. Girimaji

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Advection
  • Boltzmann Equation
  • Chemical Kinetics
  • Chemistry
  • Collisions
  • Combustion
  • Computational Fluid Dynamics
  • Distribution Functions
  • Equations
  • Flow
  • Fluid Flow
  • Large Eddy Simulation
  • Navier Stokes Equations
  • Phase Transformations
  • Thermodynamic Properties
  • Turbulent Flow
  • Turbulent Mixing

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)