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Triangular Bézier patches in modelling smooth boundary surface in exterior Helmholtz problems solved by the PIES

Zieniuk E., Szerszeń K.

Archives of Acoustics

2009

Vol. 34, No. 1

51-61

The paper proposes the use of triangular parametric Bézier patches as a new and effective way to generate three-dimensional boundaries in acoustics problems. The boundary geometry composed of triangular Bézier patches has been directly linked to the parametric integral equation system (PIES) to numerical solving exterior Helmholtz problems. A primary advantage of the proposed approach is to avoid the necessity of conventional domain or boundary discretization. The obtained numerical solutions compared with literature exacts results are characterized by high accuracy and convergence.