Abstract
The current work focuses on the development and application of a new finite volume immersed boundary method (IBM) to simulate three-dimensional fluid flows and heat transfer around complex geometries. First, the discretization of the governing equations based on the second-order finite volume method on Cartesian, structured, staggered grid is outlined, followed by the description of modifications which have to be applied to the discretized system once a body is immersed into the grid. To validate the new approach, the heat conduction equation with a source term is solved inside a cavity with an immersed body. The approach is then tested for a natural convection flow in a square cavity with and without circular cylinder for different Rayleigh numbers. The results computed with the present approach compare very well with the benchmark solutions. As a next step in the validation procedure, the method is tested for Direct Numerical Simulation (DNS) of a turbulent flow around a surface-mounted matrix of cubes. The results computed with the present method compare very well with Laser Doppler Anemometry (LDA) measurements of the same case, showing that the method can be used for scale-resolving simulations of turbulence as well.
Highlights
Computational fluid dynamics (CFD) has reached a development level at which it is routinely applied in the industrial environment, at least for single-phase flows
As a first step to assess the performance of our immersed boundary method, we solve the heat conduction equation with a source term:
A new immersed boundary method (IBM) based on the cut-cell approach to simulate three-dimensional, incompressible flows with heat transfer has been described
Summary
Computational fluid dynamics (CFD) has reached a development level at which it is routinely applied in the industrial environment, at least for single-phase flows. The other possibility is to leave the basic numerical method in its original form, that is, to discretize the system of governing equations using the original method on orthogonal grids and to make the necessary changes to include the effects of a complex surface immersed in the computational domain. Such methods, usually referred to as International Journal of Chemical Engineering immersed boundary methods (IBMs), can conveniently be divided into two broad classes (forcing and cut-cells methods), depending on the way the boundary conditions are imposed on the immersed body. The implementation and development of a new IBM based on a cut-cell approach to simulate heat transfer flow will be presented
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