Numerical Approximation of Acoustic Equation using Radial Basis Function-discontinuous Galerkin Method. (2017)

• Record Type: Journal Article
• Authors: Kresno, W.S.; Wardani, S.P.R.; Susila, Endra; Pranowo,
• Is Part Of: Procedia engineering. Volume 171(2017)
• Page Start: 836
• Page End: 846
• Publication Date: 2017
• Subjects: RadialBasis Function -- Discontinuous Galerkin Method -- Numerical Method -- Acoustic wave; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2017.01.375
• Languages: English
• ISSNs: 1877-7058

Abstract

Abstract: Acoustic equation is an important equation in order to determine wave propagation in a medium. The Application of acoustic equations vastly known, i.e. elastic wave propagation, fluid dynamics and gas dynamics equivalent. This paper present Radial Basis Function - Discontinuous Galerkin Method (RBF-DGM) in order to solve acoustic equation. RBF-DGM method is a numerical method, proposed to solve partial differential equations (PDE). RBF-DGM approximated the space domain with RBF and using DGM for time integration method. RBF-DGM application presented then in order to solve acoustic equation. The numerical of RBF-DGM presented, and compared with analytical solution as a result. The numerical results, show that the RBF-DGM (linear) predicting the exact results or analytical well.