Coreform has leveraged more than a decade of research in the field of isogeometric analysis, including extensive work by the Coreform team, to develop tools for creating analysis-suitable smooth spline geometry and a “from scratch” implicit and explicit dynamic FEA solver that takes advantage of our proprietary U-spline geometry. Spline-based simulation provides extremely fast and highly accurate analysis for engineering problems currently unsolvable using traditional FEA.

Analysis-suitable geometry

At the core of spline-based analysis is the creation of analysis-suitable geometry that exactly represents the original CAD geometry. Coreform creates analysis-suitable geometry using both industry-standard NURBS as well as Coreform’s patent-pending U-splines, a rich spline surface that in simulation outperforms any other spline type and addresses the problems inherent in using faceted meshes for simulation. See U-splines.

Analysis-suitable spline geometry reduces analysis runtime through capturing the curvature of CAD models with fewer, curved elements compared to the larger element count and smaller mesh size required in traditional FEA to achieve the same level of CAD representation. Higher aspect ratios are also allowed with spline elements, which also dramatically reduces the number of elements required. The functional smoothness inherent in analysis-suitable spline bases provides many benefits over traditional FEA, including high accuracy and robustness of numerical solutions and low simulation cost.

Benefits

Better accuracy in less time

Because the analysis in spline-based simulation is run on the splines that represent the CAD rather than on a faceted mesh, the results you get more accurately predict real world behavior. Having an exact analysis-suitable geometry representation allows spline-based simulation to outperform faceted meshes for many types of problems (i.e., contact, interface problems, etc.). Smooth higher-order basis functions improve the accuracy of the entire simulation process.

Increased numerical robustness

The smooth higher-order basis functions can withstand larger mesh deformations than traditional FEA. Spline-based simulation can better handle harder non-linear problems.

Lower simulation cost

Meshes with large element counts can be computationally expensive, even when the analysis is run on an HPC. Spline-based simulation, based on U-splines, can accurately represent CAD geometry with significantly fewer elements, therefore requiring significantly fewer computations.