Quadrilateral °ÝÀÚ³ª Hexahedral °ÝÀÚ¸¦ Æ÷ÇÔÇÏ´Â Á¤·Ä(Structured Grids) °ÝÀÚ´Â TFI(Transfinite Interpolation) Algebraic ±â¹ýÀ¸·Î ÃʱâÈ µÇ¸ç Geometry°¡ ÀÖ´Â °æ¿ì¿¡´Â ÀÚµ¿À¸·Î Parametric ¶Ç´Â Parametric Fit TFI¸¦ ÅëÇؼ Geometry¿¡ ±¸¼ÓµÈ °ÝÀÚ°¡ »ý¼ºµÈ´Ù. ÃÖ°í Ç°ÁúÀÇ °ÝÀÚ¸¦ »ý¼ºÇϱâ À§Çؼ Smoothnees, Clustering, Orthogonality µî¿¡ ´ëÇÑ Á¦¾î ±â´ÉÀ» °¡Áö°í ÀÖ´Ù.
* Elliptic PDE Smoothing
Á¤·Ä °ÝÀÚÀÇ Quality´Â PointwiseÀÇ Elliptic PDE Solver¸¦ ÀÌ¿ëÇؼ ȹ±âÀûÀ¸·Î Çâ»ó½Ãų ¼ö ÀÖ´Ù. ÀÌµé ¹æ¹ýµéÀº Poisson EquationÀ» ¹Ýº¹ÀûÀ¸·Î Ǭ´Ù. Nominal Grid¸¦ À§Çؼ Default °ªÀÌ ÀÖÁö¸¸ º¸´Ù ¼¼ºÎÀûÀÎ ÄÁÆ®·ÑÀ» ÇÒ ¼ö ÀÖµµ·Ï ´ÙÀ½°ú °°Àº ±â¹ýµéÀ» Á¦°øÇÑ´Ù.
• LaPlace(Smoothness)
• Thomas-Middlecoff(Clustering)
• Fixed Grid (Smoothness)
• von Lavante-Hilgenstock-White(Orthogonality)
• Steger-Sorenson(Orthogonality)
Wall Angle°ú Wall Spacing¿¡ ´ëÇÑ ±¸¼ÓÀÌ von Lavante-Hilgenstock-White¿Í Steger-Sorenson ±â¹ý¿¡¼ Àû¿ëµÉ ¼ö Àִµ¥ À̸¦ ÅëÇØ Transverse Grid LineµéÀÌ Boundary¿Í ¾î¶»°Ô ¸¸³ª°Ô ÇÒÁö¸¦ Á¦¾îÇÒ ¼ö ÀÖ´Ù. Elliptic SolverÀÇ ¶Ç ´Ù¸¥ ±â´É Áß Çϳª´Â Boundary Points¸¦ ¾î¶»°Ô ó¸®ÇÒÁö¿¡ µû¶ó¼ Remain Fixed, Slide along the Shape, Float with the PDE Solution°ú °°Àº Feature¸¦ »ç¿ëÇÒ ¼ö ÀÖ´Ù. Elliptic PDE SolverÀÇ Surface FormulationÀº °ÝÀÚ°¡ CAD Geometry¿¡ ±¸¼ÓµÇ°Ôµµ ¶Ç´Â ±¸¼ÓµÇÁö ¾Ê°Ôµµ Á¦¾îÇÒ ¼ö ÀÖ´Ù.
* Extrusion Methods
³ôÀº ¼öÁØÀÇ Orthogonality¿Í Clustering Á¦¾î¸¦ ÅëÇÑ Á¤·Ä °ÝÀÚÀÇ »ý¼ºÀº Pointwise¿¡¼ Áö¿øÇÏ´Â Hyperbolic PDE³ª Algebraic Extrusion ¹æ¹ýÀ» ÀÌ¿ëÇÏ¿© ±¸ÇöÇÒ ¼ö ÀÖ´Ù. Extrusion ¹æ¹ýÀ» ÅëÇؼ 2-D °ÝÀÚ, CAD Surface¿¡ ±¸¼ÓµÈ Surface °ÝÀÚ, 3-D º¼·ý °ÝÀÚ¸¦ »ý¼ºÇÒ ¼ö ÀÖ´Ù.