Thermo-elastic Topology Optimization

(Optional) temperature limits, optimization of voxel mesh.

This is the implementation of the paper Thermo-elastic topology optimization with stress and temperature constraints.

Files

• 3rd/: third-party library
• assets/: user-defined assets
• examples/: several teaching examples
• output/: output directory
• ref/: reference material
• src/: source code
• cmake/: CMake files

Dependencies

A inside library:

• mma: constrained optimization algorithm

Most dependancies are downloaded through CMake:

• Eigen: linear algebra
• json: parsing input JSON scenes
• libigl: basic geometry functions
• spdlog: logging information

The remaining libraries require user installation:

• OpenMP: CPU parallel processing. Optional

sudo apt install libomp-dev

• SuiteSparse: Linear solver. Optional, NOTE: Use of the Intel MKL BLAS is strongly recommended.
• boost: Use filesystem
• AMGCL: Linear solver. Optional.
• CUDA Toolkit: CUDA support. Optional.

Select a Linear solver

If your matrix has less than 50w of freedom, then it is recommended to choose a direct solver (e.g. SuiteSparse):

1. install SuiteSparse.
2. Set ENABLE_AMGCL to OFF and set ENABLE_SUITESPARSE to ON in CMakeLists.txt.

Otherwise, it is recommended to choose an iterative solver (e.g. AMGCL),in CPU:

1. install OpenMP and AMGCL.
2. Set ENABLE_AMGCL to ON, ENABLE_AMGCL_CUDA to OFF and ENABLE_SUITESPARSE to OFF in CMakeLists.txt.

Further, CUDA can be used to speed up the iterative solver:

1. install OpenMP, CUDA Toolkit and AMGCL.
2. Set ENABLE_AMGCL to ON, ENABLE_AMGCL_CUDA to ON and ENABLE_SUITESPARSE to OFF in CMakeLists.txt.

Finally, if all options are set to OFF, then the Eigen build-in iterative solver will be chosen.(not recommended).

Build

mkdir build
cd build
cmake -DCMAKE_BUILD_TYPE=Release ..
make -j4

Usage

1. See example/top-thermoelastic-BiclampedStructure or examples/top-thermoelastic-Lshape-condition.
2. If CUDA version is selected, see examples/top-thermoelastic-BiclampedStructure-cuda as a template.

NOTE:

1. "//*" in examples/*/config.json file mean comments.
2. you can modify CONFIG_FILE, OUTPUT_DIR and ASSETS_DIR in examples/*/CMAKEList.txt.
3. you can modify the linear solver arguments prm.solver.tol and prm.solver.maxiter in src/LinearSolver/Amgcl.h or src/LinearSolver/AmgclCuda.h.