Rectangular grid

We begin by placing the factorized scheme (1) with A y — Vx x rectangular grid = (ij h, h )] with steps and in the specified... 

We contrived to do the necessary factorization in a number of different ways. First, we initiated the construction of a primary weighted scheme on an equidistant rectangular grid... 

Figure 2.23 Arbitrary interface between a body-fitted and a rectangular grid.

A face of a rectangular-grid cell overlaps with several faces of body-fitted grid cells. 

Spreadsheets can be used to solve two-dimensional problems on rectangular grids. The equation for 7), is obtained by rearranging Eq. (3-83). 

For example, consider the grid cell shown in Fig. 7.2. Note that we have assumed that the mean velocity is known at the cell faces, and that the mean flow direction is from S-E to N-W (i.e (UQE, (UQW, (U2)N, and (U2 s are positive). The corresponding cell surface areas are denoted by SE, Sw, SN, and 5s. For the rectangular grid cell in Fig. 7.2, the surface areas are related to the cell volume by... 

Figure 15.2. Region of interest for computing potential based on Laplace or Poisson equations, where (a) a complete rectangular grid is established to cover the region, which may be adapted to finite-difference techniques using (b) a five-point method, or (c) a finite-element approach based on sampling functions.

By analogy with Section 1.2 we introduce in the domain D = 0 < x < 1, 0 < t < T the rectangular grid whr. As equation (1) contains the second derivative in t, the number of layers cannot be any smaller than 3. Retaining the preceding notations, we have... 

One category of finite-difference method uses a rectangular grid. In this approach one covers the specified layout with a grid, or mesh, as shown in Figure i 15.2a. When curvilinear boundaries are involved, it is possible to sample the... 

A rectangular grid was constructed on each set of conveying characteristics, as in the above analysis, and the ratio of pressure drops was evaluated at corresponding grid points of material and air flow rates. In Fig. 16, a comparison of the pressure drop required to convey the cement through the rubber hose, compared with that to convey the cement through the steel pipeline, is presented. It will be seen that... 

---