Abstract
A finite-element method has been developed and analyzed for solving two dimensional conservation laws on rectangular meshes. Specially, the method is applied to the computational aeroacoustics. The method is based on a discontinuous Galerkin finite-element method in the space discretization, and a three-stage TVD (Total Variation Diminishing) Runge-Kutta method in the time marching. In this paper, we construct six independent bases on each grid element and a local limiter to ensure that the scheme satisfies the maximum principle. The method is formally third-order accurate in space and second-order accurate in time. Preliminary numerical results on scalar and system initial-boundary value problems are shown to demonstrate abilities of the numerical method.
| Original language | English |
|---|---|
| Pages (from-to) | 121-127 |
| Number of pages | 7 |
| Journal | Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao |
| Volume | 20 |
| Issue number | 2 |
| Publication status | Published - 1999 Jan 1 |
All Science Journal Classification (ASJC) codes
- Mechanical Engineering