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### S09-final-project-Topology_Optimization-amaro-zegard

Course: ECE 498, Fall 2009
School: Lake County
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Emmanuel Students: Amaro Tomas Zegard Massively Parallel Topology Optimization Abstract Massively The goal of this project is to build the basic framework for a Massively Parallel Topology Optimization Code. Topology Optimization is a design technique where the shape is not pre-define by the user, but efined rather the code figures out where it i optimal to increase or decrease the design variable. All that is is...

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Emmanuel Students: Amaro Tomas Zegard Massively Parallel Topology Optimization Abstract Massively The goal of this project is to build the basic framework for a Massively Parallel Topology Optimization Code. Topology Optimization is a design technique where the shape is not pre-define by the user, but efined rather the code figures out where it i optimal to increase or decrease the design variable. All that is is variable supplied by the user is a doma domain, restrictions and boundary conditions. Applied to structural engineering, this technique allows engineers to reach perfect structures, based on the optimality condition predefined. Introduction Deep within the topology optimization algorithm, there is an analysis code (usually FEM1). Topology optimization is a highly iterative algorithm where the analysis and update phases alternate each other until a final design evolves. The update phase requires a no linear optimization algorithm2, non-linear nevertheless is it not within the scope of this project to study them in a parallel fashion. in study The FEM phase usually stands out for most of the running time and within the FEM, solving the linear system is by far the most time consuming part of all Thus, making a `small improvement within the FEM all. small phase and considering that the FEM analysis is performed several times for a single problem, we expect hat to achieve a much smaller running time overall. Results for a simple problem can be seen in Figure 1. Figure 1: Topology optimization run for a simple problem (a) ...

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