Presentation | 2012-10-25 An investigation on the problem-solving environment (PSE) for the numerical wave analysis with the finite difference method considering numerical dispersion error Yukihisa SUZUKI, Takashi TAKASHIMA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | When numerical analyses in wave dynamics are performed by finite difference methods, it is important to consider and evaluate characteristics of method, such as numerical stability, numerical dispersion error, numerical diffusion error, and so on. In this study the problem-solving environment (PSE) with the function both of automatic code generation and characteristic evaluation is investigated. The PSE is constructed on the computer algebra system of Mathematica ver.8. This developed system is applied to 1D LOD-FDTD method as a preliminary example. We demonstrate the code generation function for the finite difference operator obtained from the finite difference equation with scheme matrix derived from Von Neumann stability analysis. Formulas of update in time-step are generated by the C language from with the PSE we have developed. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | problem-solving environment (PSE) / automatic code generation / numerical dispersion error / FDTD method / LOD-FDTD method |
Paper # | EMCJ2012-65,EST2012-49 |
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Committee | EST |
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Conference Date | 2012/10/18(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Electronic Simulation Technology (EST) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | An investigation on the problem-solving environment (PSE) for the numerical wave analysis with the finite difference method considering numerical dispersion error |
Sub Title (in English) | |
Keyword(1) | problem-solving environment (PSE) |
Keyword(2) | automatic code generation |
Keyword(3) | numerical dispersion error |
Keyword(4) | FDTD method |
Keyword(5) | LOD-FDTD method |
1st Author's Name | Yukihisa SUZUKI |
1st Author's Affiliation | Tokyo Metropolitan University() |
2nd Author's Name | Takashi TAKASHIMA |
2nd Author's Affiliation | Tokyo Metropolitan University |
Date | 2012-10-25 |
Paper # | EMCJ2012-65,EST2012-49 |
Volume (vol) | vol.112 |
Number (no) | 257 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |