| Quantum Lattice-Gas Automata and Hydrodynamics |
AUG 2004 |
10 pages |
| Authors:
Bruce M. Boghosian; TUFTS UNIV MEDFORD MA DEPT OF MATHEMATICS
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 | This document is the final report for AFOSR Grant F49620-01-1-0385, "Quantum Lattice-Gas Automata and Hydrodynamics." Under the terms of this grant, the Department of Mathematics at Tufts University provided theoretical and computational support to the Quantum Computation group at the Air Force Research Laboratory at Hanscom AFB. The principal research topics were the development of quantum lattice-gas models for implementation on Type II quantum computers, and classical entropic lattice Boltzmann ... |
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| Galilean-Invariant Lattice-Boltzmann Models with H Theorem |
26 AUG 2003 |
5 pages |
| Authors:
Bruce M. Boghosian; Peter J. Love; Peter V. Coveney; Iliya V. Karlin; Sauro Succi; TUFTS UNIV MEDFORD MA DEPT OF MATHEMATICS
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| The authors demonstrate that the requirement of Galilean invariance determines the choice of H function for a wide class of entropic lattice- Boltzmann models for the incompressible Navier-Stokes equations. The required H function has the form of the Burg entropy for D=2, and of a Tsallis entropy with q=1-(2/D) for D>2, where D is the number of spatial dimensions. They use this observation to construct a fully explicit, unconditionally stable, ... |
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| Entropic Lattice Boltzmann Methods |
10 DEC 2001 |
56 pages |
| Authors:
Bruce M. Boghosian; Jeffrey Yepez; Peter V. Coveney; Alexander Wagner; TUFTS UNIV MEDFORD MA DEPT OF MATHEMATICS
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| We present a general methodology for constructing lattice Boltzmann models of hydrodynamics with certain desired features of statistical physics and kinetic theory. We show how a methodology of linear programming theory, known as Fourier-Motzkin elimination, provides an important tool for visualizing the state space of lattice Boltzmann algorithms that conserve a given set of moments of the distribution function. We show how such models can be endowed with a Lyapunov ... |
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| Workstation Cluster for Simulations of Quantum Lattice-Gas Automata and Entropic Lattice Boltzmann Models |
FEB 2001 |
8 pages |
| Authors:
Bruce M. Boghosian; TUFTS UNIV MEDFORD MA
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| This document is the final report for AFOSR Grant F49620-01-1-0456, 'Workstation Cluster for Simulations for Quantum Lattice-Gas Automata and Entropic Lattice Boltzmann Models'. Under the terms of this grant, a workstation cluster was purchased by Professor Bruce Boghosian of the Department of Mathematics at Tufts University in order to carry out large-scale simulations in support of his other AFOSR project F49620-01-1-0385, 'Quantum Lattice-Gas Automata and Hydrodynamics', which was fund by ... |
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| Lattice Hydrodynamics |
FEB 2001 |
11 pages |
| Authors:
Bruce M. Boghosian; BOSTON UNIV MA DEPT OF COMPUTER SCIENCE
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| This document is the final report for AFOSR Grant F49620-99-1-0070, 'Lattice Hydrodynamics'. Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Space Vehicles Directorate of Air Force Research Laboratory (AFOSR task 2304CP). The principal research topics were the development of quantum lattice-gas models for implementation on quantum computers, and classical lattice ... |
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| Lattice-Gas Models of Complex-Fluid Hydrodynamics |
31 MAR 1999 |
17 pages |
| Authors:
Bruce M. Boghosian; BOSTON UNIV MA DEPT OF COMPUTER SCIENCE
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| This document is the final report for AFOSR Grant F49620-97-1-0172, "Lattice-Gas Models of Complex-Fluid Hydrodynamics." Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Space Vehicles Directorate of Air Force Research Laboratory (AFOSR task 2304CP). The principal research topics were the development of lattice-gas and ... |
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| An Overview of the Lattice-Gas Research Collaboration Between the Boston University Center for Computational Science and the Geophysics Directorate of Phillips Lab |
01 OCT 97 |
28 pages |
| Authors:
Bruce M. Boghosian; BOSTON UNIV MA
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| This document is the final report for AFOSR grant F4962O-95-1-O285, "The Dynamics of Correlations in Lattice Gases." Under the terms of this grant, the Center for Computational Science at Boston University provided theoretical and computational support to the Lattice-Gas Theory and Computation group at the Geophysics Directorate of Phillips Laboratory (AFOSR task 2304CP). Twelve publications have resulted from this effort, as well as the sponsorship of the Sixth International Conference ... |
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