Numerical Integration for Interactive Terms in Mesh Superposition Method by Auto-Mesh Generation

Atsushi SANDO
2011 Transactions of the Japan Society of Mechanical Engineers Series A  
The interactive terms in the mesh superposition method are calculated approximately because the integrand has a discontinuity along the mesh lines in a superimposed global mesh. In this paper, the accurate numerical integration technique for a discontinuous integrand by the Delaunay triangulation is proposed. Integral ranges including discontinuous integrands are divided into triangles only with a continuum integrand. The exact solution is sum of the integral values calculated in all triangles.
more » ... Appropriate triangle edges can be regenerated by the swapping algorithm even though generated triangles contain the inappropriate boundary lines which bring about a discontinuity. A comparison of the accuracy of numerical integration between the proposed technique and conventional approximate means and an application to a sensitivity calculation are investigated in the first example. The second example illustrates the swapping algorithm for the adjustment of generated triangles.
doi:10.1299/kikaia.77.600 fatcat:npvfu2iyunexbaoxwqvz6bvi7u