Presentation on theme: "T AFSM SUPG STABILIZATION PARAMETERS CALCULATED FROM THE QUADRATURE-POINT COMPONENTS OF THE ELEMENT-LEVEL MATRICES ECCOMAS 2004 J. ED AKIN TAYFUN TEZDUYAR."— Presentation transcript:
T AFSM SUPG STABILIZATION PARAMETERS CALCULATED FROM THE QUADRATURE-POINT COMPONENTS OF THE ELEMENT-LEVEL MATRICES ECCOMAS 2004 J. ED AKIN TAYFUN TEZDUYAR Mechanical Engineering, Rice University Houston, Texas email@example.com http://www.mems.rice.edu/TAFSM/
T AFSM Discrete Point Values of The previous contours hide information because they omit the mesh detail and are “smoothed” through different point locations: –Element-based at element centroid –Quadrature-point-based positions –Nodal-point-based positions
T AFSM Finest T3 mesh followed by zoom-in by center flow rotation point for contour of: T3, T6, T10 elements, Q4, Q8, Q16 elements. Local Tau values are generally proportional to element length through the point, in the direction of the local velocity.
T AFSM Conclusions Quadrature-point norm based values are efficient to compute. They yield higher values in local regions where the unit vector s or r rapidly changes its direction. The element-based norm is a general framework that automatically accounts for local length scales. Both norm-based methods decrease as the element polynomial order increases. Our favorite: element-based norm
T AFSM APPENDIX 1 Regular T6 mesh uniform flow field test angles: 0 (horizontal edges), 23 (centroid), 45 (long edge), 90 (vertical edges)