{"responseHeader":{"status":0,"QTime":3,"params":{"q":"{!q.op=AND}id:\"95897\"","hl":"true","hl.simple.post":"","hl.fragsize":"5000","fq":"!embargo_tdt:[NOW TO *]","hl.fl":"ocr_t","hl.method":"unified","wt":"json","hl.simple.pre":""}},"response":{"numFound":1,"start":0,"docs":[{"modified_tdt":"2015-11-02T00:00:00Z","thumb_s":"/bb/cf/bbcfa48bcb6e72eb1ad898821e0620a82682993d.jpg","oldid_t":"compsci 3715","setname_s":"ir_computersa","file_s":"/72/b1/72b158d5c5c126561b7f862712af45bb0925a897.pdf","title_t":"Page 65","ocr_t":"< 1, where II · 11 2 is the 2-norm of the vector fi ld. In ord r to satisf thi in qualit w The step size h can be computed and stored for each cell based on the local v locity fi ld. In our implementation, a global step size, which is equal to the minimum value of h ov r all cells, is used for the streamline construction. 5.4 Construct Streamribbon and Streamtube A streamribbon has two edges. The first edge of a streamribbon is the calculated streamline, and the second edge is generated by connecting the end points of the normal vectors of the streamline. The normal vectors are calculated by rotating a constant length vector about the streamline at each point of the streamline. The constant length vector can be any vector that is orthogonal to the streamline at the initial point in the physical coordinate system. Since the streamline construction is performed in the canonical coordinate system, the constant normal vector is transformed into the canonical coordinate system and rotated there. After being rotated, the normal vector is transformed back to the world coordinate system. The surface of the streamribbon is formed by connecting the end points of the normal vectors and their corresponding points on the streamline. An example is depicted in Figure 5.1. The angle of rotating the constant length vector is governed by: d(} ~(w·S), (5.6) dt w curl ( il), s u lliill' where(} is the rotation angle. Equations 5.6 and 5.5 are solved stepwise when constructing a streamribbon. An streamtube is created by generating a streamline and by connecting the circular crossflow sections along the streamline. The radius of a streamtu be, r, is governed by the following ordinary differential equation: (5.7)","restricted_i":0,"id":95897,"created_tdt":"2015-11-02T00:00:00Z","format_t":"application/pdf","parent_i":95941,"_version_":1642982571752030209}]},"highlighting":{"95897":{"ocr_t":[]}}}