rishatzagidullin / convection-3d

Convection-Diffusion solver library in 3D using finite volume and finite difference approaches.

Code description

This is a 3D library for solving convection-diffusion equation. You can choose to use finite difference method with the regular computational domain and finite volume method with the tetrahedralized computational domain.

• geometry folder contains classes for generation of computational domains, classes for creating projections for visualization and a Vector3d structure. Computational domains can be regular and tetrahedralized (using CGAL). Some functions are given to have special geometry constrains (sphere and cylinder).

• gl folder contains classes for animation (using OpenGL) and direct GPU data conversion between CUDA and OpenGL (to render animations with Nvidia graphic cards use __NV_PRIME_RENDER_OFFLOAD=1 __GLX_VENDOR_LIBRARY_NAME=nvidia environment variable settings when launching the executable and have a look at cuda_gl_interop.h header file provided by Nvidia). Also the folder contains shaders for OpenGL. You can do real time rendering without dumping any data or you can swith the OpenGL window off (third argument in custom_gl::gl_viewer constructor). glad folder contains util files for OpenGL loader.

• solvers folder contains numerical solvers: finite difference method for advection and diffusion equations; finite volume method for advection, diffusion and Poisson equations.

• utils folder contains functions for generating off files. They are used by CGAL to generate geometry constraints.

Demo

• Here's an example of the tetrahedralized computational domain:

• Here's the solution to the advection equation using finite volume method. We also add projections to see the solutions as well as keeping the constrained sphere:

To implement the solver I used the following paper.

New folders

This is a work in progress. Right now there are attempts to add coagulation operators, parallel computations, separate mesher and use more realistic velocity fields using OpenFOAM. The configuration file is based on a script by Interfluo.

Current graph:

All is located in the LES folder. It's a mess, need to organize it properly later.