S.I.O.M. computer programs
The S.I.O.M. (Singular Integral Operators Method) series of computer programs are over the last years widely used for the solution of problems in many areas of engineering mechanics like elasticity, structural analysis, fracture mechanics, potential theories, fluid mechanics, petroleum science and aerodynamics.
They represent the use of computational recipies for the evaluation of several complicated types of linear and non-linear singular integral equations, which form the latest high technology on the solution of very important problems of solid and fluid mechanics. These numerical methods form the modern computational technology of the twentieth-one century.
These programs are referred to the research work conducted at the Interpaper Research Organization, by Professor E.G.Ladopoulos over the past years. The Singular Integral Operators Method was introduced and investigated for the numerical evaluation of the multidimensional singular integral equations. This computetional method in many cases offers important advantages over "domain" type solutions, like finite elements and finite difference, as well as analytical methods such as complex variable methods.
The current package includes six different programs by using the S.I.O.M., for the solution of the following engineering problems:
1. Two-dimensional Aerodynamics (Airfoil without velocity).
2. Two-dimensional Aerodynamics (Airfoil with velocity).
3. Potential Problems with Constant Elements.
4. Potential Problems with Linear Elements.
5. Two-dimensional Elasticity with Constant Elements.
6. Two-dimensional Elasticity with Linear Elements.
The above programs are run in Windows 95, 98, 2000, XP, 7 and up.