A variable explicit/implicit numerical method for calculating advection on unstructured meshes
- Los Alamos National Lab., NM (United States). Theoretical Div.
A variable explicit/implicit numerical method is presented for calculating fluid advection on hybrid unstructured meshes. The method is intended for unsteady flows that have a large range of advective time scales, with subregions where the flow may be quasi-steady on time scales of interest. The method generalizes the method of Collins, Collela, and Glaz by providing an explicit-to-implicit switching criterion that is suitable for use on unstructured meshes. No directional splitting is used; upwinding is in the direction of the material velocity, and thus they define and use a new multidimensional limited gradient that generalizes Van Leer`s MUSCL limiting. After reviewing the one-dimensional method of Collins, Collela, and Glaz, they present the generalization to hybrid unstructured grids and detail the results of four example calculations that demonstrate the accuracy and flexibility of the new method.
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- OSTI ID:
- 638433
- Journal Information:
- Journal of Computational Physics, Vol. 143, Issue 2; Other Information: PBD: 1 Jul 1998
- Country of Publication:
- United States
- Language:
- English
Similar Records
Implicit upwind solution algorithms for three-dimensional unstructured meshes
High-order ENO schemes for unstructured meshes based on least-squares reconstruction