Accurate, Automatic and Compressed Visualization of Radiated Helmholtz Fields from Boundary Element Solutions
| Autor: | Christophe Besse, Vincent Mouysset, Sébastien Pernet, Matthieu Maunoury |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
business.industry
Computer science Plane wave Basis function 010103 numerical & computational mathematics 01 natural sciences Visualization Convolution 010101 applied mathematics symbols.namesake Kernel (image processing) Helmholtz free energy symbols 0101 mathematics business Algorithm Boundary element method Subdivision Interpolation |
| Zdroj: | Lecture Notes in Computer Science ISBN: 9783319936970 ICCS (1) |
| Popis: | We propose a methodology to generate an accurate and efficient reconstruction of radiated fields based on high order interpolation. As the solution is obtained with the convolution by a smooth but potentially high frequency oscillatory kernel, our basis functions therefore incorporate plane waves. Directional interpolation is shown to be efficient for smart directions. An adaptive subdivision of the domain is established to limit the oscillations of the kernel in each element. The new basis functions, combining high order polynomials and plane waves, provide much better accuracy than low order ones. Finally, as standard visualization softwares are generally unable to represent such fields, a method to have a well-suited visualization of high order functions is used. Several numerical results confirm the potential of the method. |
| Databáze: | OpenAIRE |
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