Hilbert, C. Bruce
Newman, James C., III; Sreenivas, Kidambi; Matthews, Matt
College of Engineering and Computer Science
University of Tennessee at Chattanooga
Place of Publication
A higher order mesh curving method is developed which uses information from the geometry to determine the appropriate curvature of edges in the interior of the mesh. Edges are represented using four point Bézier curves to determine the positions of higher order edge points. Higher order face and volume points are positioned using the basis functions for serendipity face and volume elements. Parameters are deﬁned which allow user speciﬁed control over element quality and the propagation of curvature in the mesh. Curved higher order meshes are shown for test cases in both two and three dimensions.
Ph. D.; A dissertation submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Doctor of Philosophy.
Numerical grid generation (Numerical analysis); Finite element method
xii; 89 leaves
Karman, Kristen, "Higher order mesh curving using geometry curvature extrapolation" (2017). Masters Theses and Doctoral Dissertations.