Treatment of Sharp Edges & Corners in the Acoustic Boundary Element Method under Neumann Boundary Condition

作者: Zai You Yan

DOI: 10.3970/CMES.2006.013.081

关键词: Neumann boundary conditionNormalBoundary element methodMathematical analysisQuadrilateralAcoustic radiationBoundary knot methodMixed boundary conditionIntegral equationMathematicsGeometry

摘要: Boundary element method in acoustics for Neumann boundary condition problems including sharp edges & corners is investigated. In previous acoustic method, pressure and normal velocity are the two variables at corners. However, discontinuous due to indefinite vector. To avoid vector corners, of elemental node defined applied numer- ical implementation. Then trans- formed which unique even Such treatments make sure that all definite. Computational efficiency accuracy new model demonstrated by threecases interioracousticprob- lems analytical solutionscan be found one classical exterior radiation problem. Curvilin- ear quadrilateral isoparametric elements computation. It numerical results agree with corresponding solutions quite well. keyword: Sharp edge, corner, Normal velocity, vector, Helmholtz integral equation

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