Simulations of three-dimensional flows with the lattice Boltzmann equation on the IBM 3090/VF

ABSTRACT

We illustrate the basic features of the Lattice Boltzmann Equation (LBE), a new finite-difference scheme that arises from the microdynamics of the Frisch-Hasslacher-Pomcau cellular automation once, instead of tracking the individual history of each particle, one only solves for the mean values of the particle populations living in the lattice. Details on the actual coding of the LBE scheme are presented and discussed along with performance data pertaining to the vector and parallel implementation on the IBM 3090/600 vector multiprocessor. Finally, two applications in the field of two and three-dimensional hydrodynamics are briefly illustrated.

REFERENCES

• 1: G. Mc Namara and G. Zanetti, Phys. Rev. Lett. 56 (1988) p. 1065, and F.J. I llguera and S. Succi, Proc. of the Int. Workshop "Lattice Gas Kinetics and Foundations of !-lydrodynamics", Turin (Italy), Sept. 1988, to appear.
• 2: F. lligucra, Proc. of' the Int. Workshop "Lattice Gas Kinetics and Foundations of {tydrodynamics", Turin (italy), Sept. 1988, to appear
• 3: U. Frisch, B. Ilasslacher and Y. Pomeau, Phys. Rev. l..ett. 56 (1986) p. 1065.
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INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS

Additional Classification:
  C. Computer Systems Organization
  C.1 PROCESSOR ARCHITECTURES
  C.5 COMPUTER SYSTEM IMPLEMENTATION

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.7 Ordinary Differential Equations
          Subjects: Finite difference methods
      G.1.8 Partial Differential Equations
          Subjects: Finite difference methods
  G.2 DISCRETE MATHEMATICS

  I. Computing Methodologies
  I.6 SIMULATION AND MODELING

General Terms:
Design, Experimentation, Performance, Theory