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

• Autorzy: Zieniuk E. , Szerszeń K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Helmholtz equation; acoustics problems; parametric integral equation system; PIES

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2009
• Tom: Vol. 34, No. 1
• Strony: 51--61
• Opis fizyczny: Bibliogr 11 poz., rys., tab.

Twórcy

autor

Zieniuk E.

autor

Szerszeń K.

• University of Białystok, Faculty of Mathematics and Computer Science, Sosnowa 64, 15-887 Białystok, Poland,

Bibliografia

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• [6] Zieniuk E., Modelling and effective modification of smooth boundary geometry in boundary problems using B-spline curves, Engineering with Computers, 23, 39–48 (2007).
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