Applied Computational Fluid Dynamics Techniques: An by Rainald Lohner(auth.)
By Rainald Lohner(auth.)
Chapter 1 advent and basic concerns (pages 1–6):
Chapter 2 information buildings and Algorithms (pages 7–33):
Chapter three Grid iteration (pages 35–107):
Chapter four Approximation conception (pages 109–122):
Chapter five Approximation of Operators (pages 123–132):
Chapter 6 Discretization in Time (pages 133–136):
Chapter 7 resolution of huge structures of Equations (pages 137–159):
Chapter eight easy Euler/Navier–Stokes Solvers (pages 161–173):
Chapter nine Flux?Corrected delivery Schemes (pages 175–185):
Chapter 10 Edge?Based Compressible stream Solvers (pages 187–200):
Chapter eleven Incompressible stream Solvers (pages 201–225):
Chapter 12 Mesh circulate (pages 227–243):
Chapter thirteen Interpolation (pages 245–267):
Chapter 14 Adaptive Mesh Refinement (pages 269–297):
Chapter 15 effective Use of machine (pages 299–350):
Chapter sixteen Space?Marching and Deactivation (pages 351–369):
Chapter 17 Overlapping Grids (pages 371–381):
Chapter 18 Embedded and Immersed Grid recommendations (pages 383–417):
Chapter 19 remedy of unfastened Surfaces (pages 419–448):
Chapter 20 optimum form and approach layout (pages 449–480):
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Extra info for Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods, Second Edition
3. BOXES If all that is required are regions with uniform mesh sizes, one may define a series of boxes in which the element size is constant. For each location in space, the element size taken is the smallest of all the boxes containing the current location. When used in conjunction with surface definition via quad/octrees or embedded Cartesian grids, one can automate the point distribution process completely in a very elegant way (Yerry and Shepard (1984), Shephard and Georges (1991), Aftosmis et al.
The newly introduced point E falls into 29 DATA STRUCTURES AND ALGORITHMS LQUAD NQUAD+1 NQUAD+2 NQUAD+3 NQUAD+4 1 2 .. IQ Ŧ1 IQ A B C D .. 4 .. NQUADŦ1 NQUAD NQUAD+1 NQUAD+2 NQUAD+3 NQUAD+4 0 0 0 0 A E B C D IQ IQ IQ IQ 1 2 3 4 1 1 2 1 NQUADŦ1 NQUAD NQUAD+1 NQUAD+2 NQUAD+3 NQUAD+4 ... 14. Quadtree: addition of entries the quad iquad. As iquad already contains the four points A, B, C and D, the quad is subdivided into four. Points A, B, C and D are relocated to the new quads, and point E is added to the new quad nquad+2.
For some recent work on ‘geometry cleaning’ see Dawes (2005, 2006). 2. Variation of element size and shape After the surface of the domain to be gridded has been described, the next task is to define how the element size and shape should vary in space. 2. 2. Parameters required for an arbitrary element They consist of the side distance parameter δ, commonly known as the element length, two stretching parameters S1 , S2 , and two associated stretching directions s1 , s2 . Furthermore, the assumption that S3 = 1, s3 = s1 × s2 is made.