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Basic Vertex-Based Finite Volume

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Old   March 26, 2005, 07:08
Default Basic Vertex-Based Finite Volume
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In a cell-centered Finite Volume formulation, the length of cell edges (delta_x and delta_y) are used to calculate the flux. How these lengths are calculated in a vertex-based formulation, especially for an unstructured grid.

Especially consider the case when two vertices have the same x or y coordinate?
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Old   March 26, 2005, 08:11
Default Re: Basic Vertex-Based Finite Volume
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Hi If you are looking for info on vertex based unstructured schemes, look for AIAA papers from 88-92 by Tim Barth. He was the pioneer of these methods. Very clearly written papers. Srini
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Old   March 26, 2005, 11:03
Default Re: Basic Vertex-Based Finite Volume
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You can go further back, to work at Los Alamos in the early 70's. Their ALE methods were based on vertex-cell ideas.

Look for ALE methods in JCP. In the early to mid-70's, look for YACQUI. Around 1980, look for SALE, CONCHAS, and finally KIVA. Investigators - Hirt, Cloutman, Ruppel, Amsden, Ramshaw - and probably some others.

Check the LANL web sites for open literature reports as well. The reports have especially detailed descriptions of differencing schemes, etc.
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