Group Project: Solver for Navier Stokes, taking heat into account, with transport of substances and chemical reactions.
- transport of temperature (w/ Boussinesq approx. for Navier-Stokes)
- transport of chemical substances
- chemical reactions of substances
Our project simulates continuous flows using the Navier-Stokes model. In this project, the previously implemented model was extended to take the influence of heat into account. This is performed using the Boussinesq approximation, which neglects changes in density. The temperature differences directly result in the buoyancy force. The project also models transport (i.e., diffusion and convection) of an arbitrary number of chemical substances. These substances, together with their reaction coefficients, are defined inside the configuration files for the different scenarios. The initial distribution of these substances can be defined as a constant value over the whole domain or with the aid of a PGM-file.
Example: Rayleigh–Bénard convection
A shallow/wide container, filled with a fluid at ambient temperature (e.g. T=0), is heated from below (Dirichlet, e.g. T=5) and has a fixed ambient temperature at the top (Dirichlet, e.g. T=0). The lateral walls are isolated (Neumann). In addition, there is a small drop of another fluid inside the container.
The initially produced temperature layering is unstable and soon the flow evolves in regular, contra-rotating convection cells. In the example provided, those patterns will be stable after some period of time. The added substance can be seen to move with the flow. It is being slowly transported from cell to cell, which suggests, that there is some exchange of fluid among them.