Pre- and post-processing tools for isogeometric analysis
Gang Xu, Hangzhou Dianzi University
In this talk, some recent work on pre/post-processing tools in isogeometric analysis will be presented.
For pre-process, trivariate spline volume generation from given boundary spline surfaces will be introduced. Constraint
optimization technique and some trivariate generalizations of classical differential geometry related to curves and surfaces
will be employed to construct analysis-suitable volumetric parameterization. For post-process,
high order visualization method for iso-curves and iso-surfaces of isogeometric solution field will be presented. Different from
the visualization method in FEA, Marching Square/Cube methods are performed in parametric domain, and then we
get the iso-value curves/surfaces with high order by functional composition. Several examples will be presented to show
the effectiveness of our method.
(Engineering) analysis-reliable geometry simplification
Ming Li, State Key Lab of CAD&CG, Zhejiang Univeristy
Computer-aided design (CAD) models typically use boundary representation (B-rep) giving a watertight volume bounded by a set of parametric surfaces. Engineering analysis is usually performed on discrete volumetric meshes, allowing numeric approximation to a boundary value problem (a set of PDEs constrained by certain boundary conditions) via finite element analysis (FEA), finite differences, etc. Much effort has been devoted to converting CAD models into mesh models. On the other hand, simplifying an engineering design by removing geometric details can significantly reduce the complexity of downstream tasks of mesh generation and field solution computation. However, lack of a proper analysis and estimates of the errors induced by design simplification remains a bottleneck in seamless CAD / CAE integration. In this report, I will report our recent result on resolving this issue of analysis-reliable geometry simplification, particularly on the approaches on a posterior estimation of the engineering analysis error induced by removing a single feature from the original design. Challenges on this topic will also be discussed.
Byron Building, first floor.
