Abstract
Two compact higher-order methods are presented for solving the Euler equations in two dimensions. The flow domain is discretized by triangles. The methods use a characteristic-based approach with a cell-centered finite volume method. Polynomials of order 0 through 3 are used in each cell to represent the conservation flow variables. Solutions are demonstrated to achieve up to fourth-order accuracy. Computations are presented for a variety of fluid flow applications. Numerical results demonstrate a substantial gain in efficiency using compact higher-order elements over the lower-order elements.
| Original language | English |
|---|---|
| Pages (from-to) | 121-147 |
| Number of pages | 27 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 15 1999 |
| Event | Proceedings of the 1998 10th International Conference on Finite Elements in Fluids - Tucson, AZ, United States Duration: Jan 5 1998 → Jan 8 1998 |
Keywords
- Euler equations
- High-order
- Unstructured grids method