Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method

A Stokes–Brinkman model of the fluid flow in a periodic cell with a porous body using the boundary element method

“…To solve the boundary value problem (24)-(28), (31) in the domain Ω e equation (24) of fourth order is written as two equations of second order [3,31] ∆ψ e = η e ,…”

“…on the linear segments Γ e j and Γ i j , where k = 1, 4. The analytical formulas for the integrals (60) for k = 1, 2 are given in [31].…”

“…The unknown coefficients in (64) and (65) are found from the SLAE obtained from the boundary conditions (25), (31). The resulting relationships are shown below:…”

Solving the Nonlinear Two-Dimension Wave Equation Using Dual Reciprocity Boundary Element Method

“…In this paper the following function is selected as (for 2D): So with having values, the values of at any points (other than nodal points) can be calculated using Eq. (10). Therefore the interpolation procedure is completed.…”

“…This method has many advantages such as high accuracy due to the semi-analytical nature and use of integrals, increase the efficiency with dimension reduction of problems that resulting a considerable reduction in computer time and cost, high-precision modeling in infinite domain problems and thin shell-like structures/materials, solving large-scale problems with complicated geometries and etc [1][2][3][4]. During the last decade many engineering problems have been solved using BEM, such as three dimensional static fracture and fatigue crack growth [5], numerical simulation of three-dimensional double-diffusive natural convection in porous media [6], solving acoustic problems in open-boundary domains [7], solving heat conduction problems [8], stability analysis of shallow tunnels subjected to eccentric loads [9], modeling of fluid flow in periodic cell with porous cylinder [10], hydrofoil analysis [11], steady state convection diffusion radiation problems [12].…”