scholarly journals Simulation of the two-dimensional flow of the initiation channel of the Itaipu hydroelectric power plant by the lattice Boltzmann method

2018 ◽  
Vol 34 ◽  
Author(s):  
J. Cargnelutti ◽  
V. Galina ◽  
E. Kaviski ◽  
L.M. Gramani ◽  
A.M. Lobeiro
Keyword(s):  
Power Plant ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Hydroelectric Power Plant ◽  
Two Dimensional ◽  
Hydroelectric Power ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Boltzmann Method

2215 Topology optimization of two-dimensional flow field shape by means of lattice Boltzmann method

2014 ◽  
Vol 2014.11 (0) ◽  
pp. _2215-1_-_2215-6_
Author(s):  
Hiroshi TAKEDA ◽  
Toshiro MATSUMOTO ◽  
Masato YOSHINO ◽  
Takayuki YAMADA ◽  
Toru TAKAHASHI ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Flow Field ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Boltzmann Method

FULL NEWTON LATTICE BOLTZMANN METHOD FOR TIME-STEADY FLOWS USING A DIRECT LINEAR SOLVER

2007 ◽  
Vol 18 (04) ◽  
pp. 652-660 ◽  
Author(s):  
DAVID R. NOBLE ◽  
DAVID J. HOLDYCH
Keyword(s):  
Lattice Boltzmann Method ◽  
Stokes Flow ◽  
Lattice Boltzmann ◽  
Linear Equations ◽  
Steady Flows ◽  
Linear System Of Equations ◽  
Flow Limit ◽  
Non Linear ◽  
Two Dimensional Flow ◽  
Boltzmann Method

A full Newton lattice Boltzmann method is developed for time-steady flows. The general method involves the construction of a residual form for the time-steady, nonlinear Boltzmann equation in terms of the probability distribution. Bounce-back boundary conditions are also incorporated into the residual form. Newton's method is employed to solve the resulting system of non-linear equations. At each Newton iteration, the sparse, banded, Jacobian matrix is formed from the dependencies of the non-linear residuals on the components of the particle distribution. The resulting linear system of equations is solved using a direct solver designed for sparse, banded matrices. For the Stokes flow limit, only one matrix solve is required. Two dimensional flow about a periodic array of disks is simulated as a proof of principle, and the numerical efficiency is carefully assessed. For the case of Stokes flow (Re = 0) with resolution 251×251, the proposed method performs more than 100 times faster than a standard, fully explicit implementation.

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