engleski

Advanced boundary element method in steady state heat conduction

In solar heating and cooling systems, heat storage, solar building, etc., a significant part of energy is lost by heat conduction. A quantity of that heat can be found by application of the boundary element method, which has several advantages. Dividing boundary into boundary elements is a simple process in comparison with dividing a entire body into finite elements. The obtained system of linear equations that represents equilibrium of boundary conditions, has significantly a lesser number of unknowns and equations than similar systems obtained by other numerical methods, such as finite element and finite difference methods. In such a manner as to introduce further advantages, integral equations evaluated by direct formulation of boundary element method can be modified by application of the double layer boundary. That results in simplified integral equation that has to be solved subject to predetermined boundary conditions. Since some integrals over boundary partially vanish in the evaluated equations, the number of numerical operations is reduced, while a computer program becomes shorter.

heat conduction; energy losses; boundary element method

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