- Tytuł:
- Fourier image methods for evolution equations of deep-water waves
- Autorzy:
-
Jankowski, Jan
Leszczyński, Henryk - Powiązania:
- https://bibliotekanauki.pl/articles/1955223.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Gdańska
- Tematy:
-
wave evolution
Laplace equation
Fourier transform
method of lines
Gauss-Hermite quadrature - Opis:
- The velocity potential of the fluid satisfies the Laplace equation with nonlocal boundary conditions on a free surface. This differential problem is transformed to an evolution equation in Fourier variables. The Fourier transform images of boundary functions are approximated by Picard's iterations and the method of lines on meshes related to roots of Hermite polynomials. Due to convolutions of sine and cosine functions the integral terms of Picard's iterations reveal unexpected instabilities for wave numbers in a neighborhood of zero.
- Źródło:
-
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2019, 23, 3; 261-268
1428-6394 - Pojawia się w:
- TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
- Dostawca treści:
- Biblioteka Nauki
Artykuł