Abstract:A coupled lattice Boltzmann and fractal geometry method is introduced to simulate laminar channel flow. The coupled method is divided into two cases. If the height difference between adjacent grids is less than the grid width, the linear interpolation between two points is taken to replace the curve line with the Weierstrass-Mandelbrot (WM) function. If not, the zig-zag line is applied to replace the fractal wall. With a fractal dimension to characterize the shape of the wall, fractal geometry with WM function… Show more
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