Analysis-suitable geometry

Unlocking the full potential of IGA requires analysis-suitable CAD. Analysis-suitable CAD is a geometric representation that is rich enough for both shape and solution representation. The exact analysis-suitable representation of smooth geometry is essential for correct solution behavior across many application domains. Several examples, among many, include shells, contact, boundary layer phenomena, and model reduction techniques such as boundary elements. Additionally, functional smoothness, inherent in most analysis-suitable spline bases, provides additional possibilities such as increased robustness and accuracy of numerical solutions and the direct discretization of higher-order differential operators. Additionally, in design, properly formulated geometry eliminates the possibility of producing “dirty” geometry that greatly hampers downstream analysis operations and prevents integrated and efficient design-through-analysis workflows.

Coreform has invented a new proprietary analysis-suitable CAD technology called "U-splines" to unlock the power of isogeometric analysis in an industrial setting . U-splines (the "U" stands for "unstructured") offer many promising attributes, including

  • Local adaptivity
  • Refinement at extraordinary points
  • Integration of triangles (quad-dominant meshes)
  • Extension to volumes
  • Backwards compatibility with T-splines and NURBS
  • Optimal approximation properties when used as a basis for analysis

Read a preprint of the U-splines technical paper.