Автор |
Sawada, Keisuke |
Автор |
Yasue, Kanako |
Дата выпуска |
2011-08-01 |
dc.description |
A linear stability analysis of the cell-wise relaxation implicit discontinuous Galerkin method proposed in our previous work was carried out for a scalar advection equation using three different generating patterns of triangular cells in two-dimensional space. A detailed mathematical formulation of the stability analysis is presented in this paper. It is shown that the present cell-wise implicit method with spatial accuracies up to fourth order is stable with very large Courant–Friedrichs–Lewy (CFL) numbers. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Копирайт |
2011 The Japan Society of Fluid Mechanics and IOP Publishing Ltd |
Название |
A linear stability analysis of the cell-wise relaxation implicit discontinuous Galerkin method for wave propagation |
Тип |
paper |
DOI |
10.1088/0169-5983/43/4/041402 |
Electronic ISSN |
1873-7005 |
Print ISSN |
0169-5983 |
Журнал |
Fluid Dynamics Research |
Том |
43 |
Первая страница |
41402 |
Последняя страница |
41419 |
Аффилиация |
Sawada, Keisuke; Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan |
Аффилиация |
Yasue, Kanako; Department of Aerospace Engineering, Tohoku University, Sendai 980-8579, Japan |
Выпуск |
4 |