## Copyright and Terms

Copyright by C. Pozrikidis. This library is to be used strictly for educational purposes and only in conjunction with one of the books or book editions by C. Pozrikidis listed in the author's webpage. You may not use this library in a research or book proposal, as part of a book, or to conduct academic or industrial research.

This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

## Download

View and download BEMLIBTo unravel the compressed tar file, issue the Unix command:

tar xzvf BEMLIB_22.10.tgz |

## BEMLIB directories

### Directory: 01_num_meth

General-purpose numerical methods in scientific computing.
This directory accompanies the second edition of a book by
C. Pozrikidis entitled
*Numerical Computation in Science and Engineering*,
Second Edition,
Oxford University Press (2008).

Subdirectory | Topic |

01_num_comp | General aspects of numerical computation. |

02_lin_calc | Linear algebra and linear calculus. |

03_lin_eq | Solution of systems of linear algebraic equations. |

04_nl_eq | Solution of nonlinear algebraic equations. |

05_eigen | Computation of eigenvalues and eigenvectors of matrices. |

06_interp_diff | Function interpolation and differentiation. |

07_integration | Numerical integration of a function of one or two variables. |

08_approximation | Approximation of a function of one or two variables. |

09_ode | Ordinary differential equations. |

10_ode_ddm | Ordinary differential equations; domain discretization methods |

11_pde_diff | Partial differential equations; unsteady diffusion equation |

12_pde_poisson | Partial differential equations; Poisson equation |

13_pde_cd | Partial differential equations; convection-diffusion equation |

14_bem | Boundary-element methods. |

15_fem | Finite-element methods. |

99_spec_fnc | Computation of special functions including Bessel functions, the error function, and others. |

### Directory: 02_grids

Boundary-element grid generation.

Subdirectory | Topic |

grid_2d | Boundary-element discretization of a planar line into straight or circular elements. |

prd_2d | Adaptive discretization of a closed planar line. |

prd_2d_open | Adaptive discretization of an open planar line. |

prd_2d_pr | Adaptive discretization of a planar periodic line. |

prd_3d | Adaptive discretization of a closed three-dimensional line. |

prd_ax | Adaptive discretization of a line representing the contour of a surface in an azimuthal plane. |

trgl |
Triangulation of a closed surface into an
unstructured grid of curved triangles based on the successive subdivisions of an octahedron or icosahedron. |

trgl_flat | Triangulation of a disk, square, square with a circular hole, square with a square hole. |

### Directory: 03_laplace

Green and Neumann functions and boundary-element codes for Laplace's equation.

Subdirectory | Topic |

body_2d | Two-dimensional flow past, or due to the motion of, a body with arbitrary geometry. |

body_ax | Axisymmetric flow past, or due to the motion of, a body with arbitrary geometry. |

flow_1d | Steady unidirectional flow through a tube with arbitrary cross-section. |

flow_1d_1p | Steady unidirectional shear flow over a periodic array of cylinders or a periodic wall with arbitrary cross-section. |

flow_2d | Potential flow in a two-dimensional domain with arbitrary geometry. |

ldr_3d |
Solution of Laplace's equation
in the interior or exterior of a three-dimensional surface,
subject to the Dirichlet boundary condition. |

ldr_3d_2d |
Solution of Laplace's equation
in a doubly periodic domain,
subject to the Dirichlet boundary condition. |

ldr_3d_ext |
Solution of Laplace's equation
in the exterior of a three-dimensional surface,
subject to the Dirichlet boundary condition (completed double-layer formulation). |

ldr_3d_ext_se |
Solution of Laplace's equation
in the exterior of a three-dimensional surface,
subject to Dirichlet boundary conditions, computed by a spectral-element method (completed double-layer formulation). |

ldr_3d_int |
Solution of Laplace's equation
in the interior of a three-dimensional surface,
subject to the Dirichlet boundary condition (double-layer formulation). |

ldr_3d_int_se |
Solution of Laplace's equation
in the interior of a three-dimensional surface,
subject to the Dirichlet boundary condition, computed by a spectral-element method (double-layer formulation). |

lgf_2d | Green's and Neumann functions of Laplace's equation in two dimensions. |

lgf_3d | Green's and Neumann functions of Laplace's equation in three dimensions. |

lgf_ax | Green's and Neumann functions of Laplace's equation in axisymmetric domains. |

lnm_3d |
Solution of Laplace's equation
in the interior or exterior of a three-dimensional region,
subject to Neumann boundary conditions (boundary-integral formulation). |

tank_2d | Fluid sloshing in a rectangular tank. |

### Directory: 04_helmholtz

Boundary-element codes for Helmholtz's equation.

Subdirectory | Topic |

flow_1d_osc | Oscillatory unidirectional flow through a tube with arbitrary cross-section. |

### Directory: 05_stokes

Green functions and boundary-element codes for Stokes flow.

Subdirectory | Topic |

bump_3d | Shear flow past a spherical bump on a plane wall. |

caps_2d | Flow past a two-dimensional capsule. |

caps_3d | Flow past a three-dimensional capsule. |

chan2l | Two-layer flow in a channel. |

drop_3d | Flow past a three-dimensional drop. |

drop_3dw | Flow past a three-dimensional drop attached to a wall. |

drop_ax | Flow past an axisymmetric flow. |

em_2d | Two-dimensional flow of an emulsion. |

flow_2d | Two-dimensional flow in a domain with arbitrary geometry. |

flow_3d | Three-dimensional flow in an axisymmetric domain. |

prtcl_2d | Flow past a fixed bed of two-dimensional particles with flow configuration. |

prtcl_3d | Flow past, or due to the motion of, a three-dimensional rigid particle, for several flow configurations. |

prtcl_3d_mob | Motion of a rigid particle (mobility problem). |

prtcl_3d_mob_dlr_se | Motion of a rigid particle (mobility problem) computed by the double-layer representation (dlr) a spectral-element method (se). |

prtcl_ax | Flow past, or due to the motion of, a collection of axisymmetric particles. |

prtcl_sw | Swirling flow due to the rotation of an axisymmetric particle. |

rbc_2d | Numerical simulation of the deformation of a two-dimenional red blood cell. |

sgf_2d | Green's functions of two-dimensional Stokes flow. |

sgf_3d | Green's functions of three-dimensional Stokes flow. |

sgf_ax | Green's functions of axisymmetric Stokes flow. |

susp_3d | Dynamic simulation of a particle suspension. |

## Acknowledgements

Thanks to Hoaxiang Luo, Mark Blyth, Bill Baxter, and others, for bug reports.