Gmsh 2d structured mesh tutorial2/18/2024 So, if you end up writing a function that might be useful for a larger audience, please contribute it. We are happy to accept more functions to be added to GridGenerator. All the functions in GridGenerator are implemented in this fashion. You can find an example in the function create_coarse_grid() in step-14. For that, you need a list of vertices with their coordinates and a list of cells referencing those vertices. If there is no good fit in the GridGenerator namespace for what you want to do, you can always create a Triangulation in your program "by hand". There are many different helper functions available, including GridGenerator::hyper_cube(), GridGenerator::hyper_shell(), GridGenerator::hyper_ball(), and GridGenerator::hyper_cube_with_cylindrical_hole().Ĭonstructing your own mesh programmatically The easiest way to generate meshes is to use the functions in namespace GridGenerator, as already discussed in step-1. Meshes can be modified or combined in many ways as discussed later on. There are several ways to create an initial mesh. That said, your mesh needs to capture the given geometry adequately. As a consequence, you don't want to start with a mesh that is too fine to start with, because that takes up a good part of your cell budget already, and because you can't coarsen away cells that are in the initial mesh. However, this requires that you don't waste mesh cells in parts of the domain where they don't pay off. The reason is that you can make it as fine as you want using adaptive refinement as long as you have memory and CPU time available. When you use adaptive mesh refinement, you definitely want the initial mesh to be as coarse as possible. Please note that the example program does not show all the ways to generate meshes that are discussed in this introduction. No other computations or adaptive refinements are done the idea is that you can use the techniques used here as building blocks in other, more involved simulators. vtu files in much the same way as we do in step-1. This example program shows some of ways to create and modify meshes for computations and outputs them as. Additionally, there is not one approach that fits all problems. We will discuss several ways to do this, but this list is not exhaustive. Generating complex geometries is a challenging task, especially in three space dimensions. The notebook is available in the same directory as the original C++ program. Note This tutorial is also available as a Jupyter Python notebook that uses the deal.II python interface. This tutorial is an extension to step-1 and demonstrates several ways to obtain more involved meshes than the ones shown there. Parts of the results section were contributed by Yuhan Zhou, Wolfgang Bangerth, David Wells, and Sean Ingimarson. This program was contributed by Timo Heister.
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