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Seepage Modeling with SEEP/W - GeoStudio 2007 version 7.22

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Chapter 3: Geometry and Meshing<br />

<strong>SEEP</strong>/W<br />

This meshing simplicity however has some numerical and interpretation consequences as discussed in<br />

more detail in the Structured versus Unstructured Section below.<br />

32 33<br />

34 35<br />

31<br />

36<br />

Figure 3-18 Unstructured triangular mesh<br />

Triangular grid regions<br />

<strong>GeoStudio</strong> has a special structured pattern for triangular regions called a triangular grid of<br />

quads/triangles. The next figure (Figure 3-19) shows a typical triangular region <strong>with</strong> the resulting<br />

structured mesh. The elements are a mixture of squares, rectangles, trapezoids and triangles. The use of<br />

this pattern is fairly general, but it does have some limitations and restrictions.<br />

3<br />

1 2<br />

Figure 3-19 Triangular grid region<br />

It is useful to think of the region as having three sides: a short side, an intermediate length side and a long<br />

side. The algorithm attempts to sort the edges so that the sides go from the shortest to the longest in a<br />

counter-clockwise direction. In this example, the shortest side is 3-1, the intermediate 1-2 and the longest<br />

2-3.<br />

The meshing algorithm works best when the number of divisions is controlled on the shortest and<br />

intermediate sides. To retain the even pattern shown in Figure 3-19, the number of divisions should be<br />

defined on the shortest side first and then on the intermediate side. The number of divisions on the<br />

intermediate side can be an even multiple of the number on the shortest side. In the above example, the<br />

shortest side has 5 divisions and the intermediate side can have 10, or 2 times that of the shortest side.<br />

The algorithm works best and gives the best structured mesh if the numbers of divisions on the longest<br />

side are left undefined allowing the algorithm to compute the appropriate number of divisions.<br />

If a triangular region is mixed in <strong>with</strong> other more general regions, <strong>GeoStudio</strong> will attempt to ensure mesh<br />

compatibility. Sometimes however it may not be possible to adhere to the requirements for generating a<br />

structured mesh in a triangular region and then <strong>GeoStudio</strong> will substitute an unstructured mesh.<br />

Page 36

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