Results 1 - 10 of 47

Entropic lattice Boltzmann methods

by Bruce M. Boghosian, Jeffrey Yepez, Peter V. Coveney, Alexander Wagner
"... 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 visualizin ..."
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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 functional, analogous to Boltzmann’s H, resulting in unconditional numerical stability. Using the Chapman-Enskog analysis

A NEW ALGORITHM FOR BLE (BOLTZMANN LATTICE EQUATION) NUMERICS

by William Greenberg, Michael Williams
"... Abstract. The nonlinear Boltzmann equation with a discretized spatial vari-able and finite velocity set (Boltzmann Lattice Equation or BLE) has become a standard tool for numerical studies of particle transport, with applications as diverse as vehicle traffic modeling and E. coli dispersal in humans ..."
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Abstract. The nonlinear Boltzmann equation with a discretized spatial vari-able and finite velocity set (Boltzmann Lattice Equation or BLE) has become a standard tool for numerical studies of particle transport, with applications as diverse as vehicle traffic modeling and E. coli dispersal

1Lattice Boltzmann model for coffee percolation

by Luciano Misici, Silvia Palpacelli, Riccardo Piergallini, Renato Vitolo
"... Abstract- A Lattice Boltzmann model is constructed for the simulation of water percolation through coffee. The model describes the dynamics of two uids (water and air) through a layer of porous medium (coffee), where the porous medium may be eroded by the ow of water. Surface tension between the uid ..."
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Abstract- A Lattice Boltzmann model is constructed for the simulation of water percolation through coffee. The model describes the dynamics of two uids (water and air) through a layer of porous medium (coffee), where the porous medium may be eroded by the ow of water. Surface tension between

Maximum Entropy Boundaries in Lattice Boltzmann Method

by unknown authors
"... Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable, accurat ..."
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Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable

Parallelizing Solid Particles in Lattice-Boltzmann Fluid Dynamics

by Gregory Wolffe, John Oleszkiewicz, David Cherba
"... Abstract Computational fluid dynamics (CFD) is a widely used numerical method for simulating complex systems, with applications ranging from aerodynamic science to hydrology. The lattice-Boltzmann method is a relatively recent technique that has been shown to be as accurate as traditional CFD method ..."
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Abstract Computational fluid dynamics (CFD) is a widely used numerical method for simulating complex systems, with applications ranging from aerodynamic science to hydrology. The lattice-Boltzmann method is a relatively recent technique that has been shown to be as accurate as traditional CFD

ENHANCEMENT OF THE STABILITY OF LATTICE BOLTZMANN METHODS BY DISSIPATION CONTROL

by Alexander N. Gorban, David J. Packwood
"... Artificial dissipation is a well known tool for the improvement of stability of numerical algorithms. At the same time, this affects the accuracy of the computation. We analyze various approaches proposed for enhancement of the Lattice Boltzmann Methods (LBM) stability. In addition to the previousl ..."
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Artificial dissipation is a well known tool for the improvement of stability of numerical algorithms. At the same time, this affects the accuracy of the computation. We analyze various approaches proposed for enhancement of the Lattice Boltzmann Methods (LBM) stability. In addition

Intracranial aneurysms: flow analysis of their origin and progression

by Carlos F. Gonzalez, Young I. Cho, Hector V. Ortega, Jacques Moree - AJNR Am J Neuroradiology 1992 ; 13(1
"... Purpose: To explain the origin and growth of intracranial aneurysms using the hemodynamic data obtained from a computer simulation. Materials and Methods: Pulsatile flow in an intracranial aneurysm cavity was numerically simulated based on physiologic pulsatile flow observed in the aorta. A finite e ..."
Abstract - Cited by 6 (0 self) - Add to MetaCart
Purpose: To explain the origin and growth of intracranial aneurysms using the hemodynamic data obtained from a computer simulation. Materials and Methods: Pulsatile flow in an intracranial aneurysm cavity was numerically simulated based on physiologic pulsatile flow observed in the aorta. A finite

Parallel Simulation of Compressible Fluid Dynamics Using Lattice Boltzmann Method ∗

by Bing He, Wei-bing Feng, Yu-ming Cheng, Wu Zhang
"... Abstract The Lattice Boltzmann Method (LBM) has numerous computational advantages, such as the simplicity of programming, the ability to incorporate microscopic interactions, and the easy parallelization of algorithms. The traditional lattice Boltzmann model has a constraint of small mach number(the ..."
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Abstract The Lattice Boltzmann Method (LBM) has numerous computational advantages, such as the simplicity of programming, the ability to incorporate microscopic interactions, and the easy parallelization of algorithms. The traditional lattice Boltzmann model has a constraint of small mach number

10.1098/rspa.2000.0689 Entropic lattice Boltzmann methods

by M. Boghosian, Jeffrey Yepez, Peter V. Coveney, Alexander Wager , 2000
"... We present a general methodology for constructing lattice Boltzmann models of hydrodynamics with certain desired features of statistical physics and kinetic the-ory. We show how a methodology of linear programming theory, known as Fourier– Motzkin elimination, provides an important tool for visualiz ..."
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for visualizing the state-space of lattice Boltzmann algorithms that conserve a given set of moments of the distribu-tion function. We show how such models can be endowed with a Lyapunov functional, analogous to Boltzmann’s H, resulting in unconditional numerical stability. Using the Chapman–Enskog analysis

AFRL-VS-HA-TR-2005-1089 Entropic Lattice Boltzmann Methods

by Bruce M. Boghosian, Jeffrey Yepezc, Peter V. Coveney, Alexander Wagner , 2001
"... We present a general methodology for constructing lattice Boltzmann models of hydrody-O namics with certain desired features of statistical physics and kinetic theory. We show how a 0 methodology of linear programming theory, known as Fourier-Motzkin elimination, provides an important tool for visua ..."
Abstract - Add to MetaCart
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 functional, analogous to Boltzmann's H, resulting in unconditional numeri-cal stability. Using the Chapman
Results 1 - 10 of 47