Hyperviscosity Stabilisation of the RBF-FD Solution to Natural Convection
The numerical stability of fluid flow is an important topic in computational fluid dynamics as fluid flow simulations usually become numerically unstable in the turbulent regime. Many mesh-based methods have already established numerical dissipation procedures that dampen the effects of the unstable advection term. When it comes to meshless methods, the prominent stabilization scheme is hyperviscosity. It introduces numerical dissipation in the form of a higher order Laplacian operator. Many papers have already discussed the general effects of hyperviscosity and its parameters. However, hyperviscosity in flow problems has not yet been analysed in depth. In this paper, we discuss the effects of hyperviscosity on natural convection flow problems in the turbulent regime.