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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Grid refinement for entropic lattice Boltzmann models.

B Dorschner1, N Frapolli1, S S Chikatamarla1

  • 1Aerothermochemistry and Combustion Systems Lab, Department of Mechanical and Process Engineering, ETH Zurich, CH-8092 Zurich, Switzerland.

Physical Review. E
|December 15, 2016
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Summary
This summary is machine-generated.

We introduce a new multidomain grid refinement technique for lattice Boltzmann models, enhancing simulations of complex fluid flows. This method improves accuracy for turbulent, thermal, and supersonic flows across various applications.

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Area of Science:

  • Computational fluid dynamics
  • Numerical methods
  • Fluid mechanics

Background:

  • Lattice Boltzmann methods (LBM) are powerful tools for simulating fluid dynamics.
  • Existing LBM often face limitations in handling complex flows with varying scales.
  • Adaptive grid refinement is crucial for improving computational efficiency and accuracy.

Purpose of the Study:

  • To develop and validate a multidomain grid refinement technique for entropic lattice Boltzmann models.
  • To extend the technique to incompressible, thermal, and compressible flow regimes.
  • To assess the benefits of grid refinement in diverse fluid flow scenarios.

Main Methods:

  • Implementation of a multidomain grid refinement strategy.
  • Extension of entropic lattice Boltzmann models to handle various flow physics.
  • Validation against direct numerical simulations and experimental data.

Main Results:

  • Demonstrated accuracy and validity of the grid refinement technique.
  • Successful simulation of isothermal, thermal, and viscous supersonic flows.
  • Analysis of grid refinement advantages in turbulent channel flow, flow past a sphere, Rayleigh-Bénard convection, and supersonic airfoil flow.

Conclusions:

  • The proposed multidomain grid refinement technique effectively enhances the accuracy and efficiency of lattice Boltzmann simulations.
  • Entropic lattice Boltzmann models exhibit advantageous adaptive features for multigrid simulations.
  • The technique provides a robust framework for simulating complex fluid dynamics problems.