Parallel transient response topology optimization based on PETSc

Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework

This paper presents a flexible framework for parallel and easy-to-implement topology optimization using the Portable and Extendable Toolkit for Scientific Computing (PETSc). The presented framework is based on a standardized, and freely available library and in the published form it solves the minimum compliance problem on structured grids, using standard FEM and filtering techniques. For compl...

TOPOLOGY OPTIMIZATION OF STRUCTURES UNDER TRANSIENT LOADS

In this article, an efficient methodology is presented to optimize the topology of structural systems under transient loads. Equivalent static loads concept is used to deal with transient loads and to solve an alternate quasi-static optimization problem. The maximum strain energy of the structure under the transient load during the loading interval is used as objective function. The objective f...

Topology optimization for transient response of photonic crystal structures

A PETSc Parallel BVP Code

Solutions to ordinary differential equations with boundary conditions (BVPs) are often approximated by a numerical method. Typically, this method involves setting up a large system of nonlinear equations for which the unknowns are discrete numerical approximations of the solution to the BVP. This nonlinear system has the potential to be large. Therefore, routines that parallelize both the gener...

Parallel Optimality Criteria-based Topology Optimization for Minimum Compliance Design

Topology optimization is often used in the conceptual design stage as a preprocessing tool to obtain overall material distribution in the solution domain. The resulting topology is then used as an initial guess for shape optimization. It is always desirable to use fine computational grid to obtain high-resolution layouts that minimize the need for shape optimization and post processing [1], but...