2.4. Volume stitching process
As indicated by the name of the process, the discrete volumes generated in the previous process are joined together to satisfy some additional boundary conditions. All the boundary conditions at the open ends inside the structure and some at the vertical walls get satisfied once this process is over. This process will be explained with the help of Fig. 6. On a close examination of the muffler geometries, it is observed that the lengthwise-segmentized consecutive pairs of volumes can be classified into two groups: pairs of volumes with a vertical wall between them, and pairs of volumes without any wall between them. The occurrence of the first class of pairs is very obvious. The second class of pairs is formed whenever an open-ended, one-side-closed or a perforated tube is placed in the structure. Therefore, this class of pair is also an inevitable part of any muffler geometry. Both of these types of pairs of volumes have been illustrated in Fig. 6 through an example. The first set of figures (see Fig. 6a) elucidates the pair of volumes with a wall between them. As is shown, there is one volume (or domain) to the left and there are three discrete volumes to the right of the wall. The corresponding nodes [18] (end points of each volume representing discontinuity within the whole domain) and branches [18] have also been shown with numbers and dotted lines respectively in the second step of Fig. 6a. If separate transfer matrix equations are written for all these discrete volumes, there will be four of them. But, the volume to the left of the wall (i.e., Vol_Left_1 in the figure) is in continu
Fig. 6. Two types of volume stitching operation are performed to reduce the number of independent nodes and branches [16]: (a) stitching volumes through a wall; (b) stitching volume to volume.
2.4 การไดรฟ์ข้อมูลการเย็บAs indicated by the name of the process, the discrete volumes generated in the previous process are joined together to satisfy some additional boundary conditions. All the boundary conditions at the open ends inside the structure and some at the vertical walls get satisfied once this process is over. This process will be explained with the help of Fig. 6. On a close examination of the muffler geometries, it is observed that the lengthwise-segmentized consecutive pairs of volumes can be classified into two groups: pairs of volumes with a vertical wall between them, and pairs of volumes without any wall between them. The occurrence of the first class of pairs is very obvious. The second class of pairs is formed whenever an open-ended, one-side-closed or a perforated tube is placed in the structure. Therefore, this class of pair is also an inevitable part of any muffler geometry. Both of these types of pairs of volumes have been illustrated in Fig. 6 through an example. The first set of figures (see Fig. 6a) elucidates the pair of volumes with a wall between them. As is shown, there is one volume (or domain) to the left and there are three discrete volumes to the right of the wall. The corresponding nodes [18] (end points of each volume representing discontinuity within the whole domain) and branches [18] have also been shown with numbers and dotted lines respectively in the second step of Fig. 6a. If separate transfer matrix equations are written for all these discrete volumes, there will be four of them. But, the volume to the left of the wall (i.e., Vol_Left_1 in the figure) is in continuFig. 6. Two types of volume stitching operation are performed to reduce the number of independent nodes and branches [16]: (a) stitching volumes through a wall; (b) stitching volume to volume.
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