2 Large-Scale Topology Optimization on High-Performance Computers

Topology optimization [1] has rapidly evolved from an academic exercise into an exciting discipline with numerous industrial applications. Such applications include optimization of aircraft components [2], [3], spacecraft modules [4], automobile components [5], cast components [6], compliant mechanisms [7], [8], [9], [10], etc. In structural analysis, topology optimization may be posed as (see illustration in Fig. 2.1). In other words, one must find the optimal topology that minimizes a specific objective function and meets certain constraints, within the given design space. Typical objective functions include mass, compliance, etc. Constraints include stress constraints, manufacturing constraints, buckling constraints, etc.