Defining an accurate MFS solution for 2.5D acoustic and elastic wave propagation

Abstract

This paper proposes a simple methodology to assess the accuracy of the method of fundamental solutions (MFS) when applied to 2.5D acoustic and elastic wave propagation. The proposed technique is developed in the frequency domain. It copes with the precision uncertainty difficulty presented by the MFS solution through its dependency on the number and position of virtual sources and collocation points. The methodology relies on the correlation between the errors registered along surfaces, where boundary or continuity conditions are known a priori, with those obtained along the system domain. Circular cylindrical domains are modeled to illustrate the efficiency of the proposed methodology, since in this case analytical solutions are available. A numerical example is used to illustrate the application of the methodology to a more complex case. An elastic column exhibiting an embedded curved crack, with null thickness, is used to illustrate the applicability of the proposed technique. Since, there are no known analytical solutions; the results provided by the traction boundary element method (TBEM) are used as reference solutions.