Abstract
In tracking moving boundaries that arise in several flow problems, a mixed Eulerian-Lagrangian algorithm can prove quite useful. In such a method, the grid on which the flow computations are performed remains stationary, while the interface is immersed in and moves through the grid. In this report we present a finite-difference based formulation for a scalar transport equation, which will be designed to alleviate some of the concerns associated with interface tracking on a fixed underlying grid. By performing truncation error analysis, the presentation of the method also sheds light on the expected accuracy of the solutions. The finite-difference operations are performed to maintain nominal global second-order accuracy. To demonstrate the second-order accuracy of the solutions, we present grid refinement studies preformed for some test problems.
| Original language | English |
|---|---|
| Pages (from-to) | 33-46 |
| Number of pages | 14 |
| Journal | American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD |
| Volume | 361-5 |
| Publication status | Published - 1998 |
| Externally published | Yes |
| Event | Proceedings of the 1998 ASME International Mechanical Engineering Congress and Exposition - Anaheim, CA, USA Duration: 15 Nov 1998 → 20 Nov 1998 |