ISSN Online: 2688-7231
ISBN Online: 978-1-56700-478-6
Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017)
NUMERICAL COMPUTATION OF NATURAL CONVECTION ON UNSTRUCTURED HYBRID MESH WITHOUT PRECONDITIONING
摘要
Computations of natural convection are usually done using
the Boussinesq approximation which limits their applicability
to small temperature differences. Avoiding such restrictions
requires the solution of the Navier-Stokes equations using
a density-based method. However, density-based methods usually
perform poorly at low Mach number, near the incompressibility
limit. In this paper we use an implicit procedure based on
the all-speed SLAU method to solve the full set of Navier Stokes equations on unstructured hybrid grids. This method solves for primitive variables using the thermally perfect gas assumption. The stiffness in the equation in low speed regime is handled without time-derivative preconditioning. Although the algorithm is formulated in generalised form for arbitrary fluids, in this paper we limit ourselves to ideal gases.