This paper presents an immersed boundary method for the calculation of fluid flow and heat transfer in porous media. A two-dimensional compact finite differences immersed boundary method was used to solve the unsteady, incompressible mass, momentum and energy conservation equations. The temporal and spatial discretizations are preformed, respectively, with a fourth-order Runge-Kutta method and a fourth-order co...
This chapter demonstrates the potential of the immersed boundary method for the direct numerical simulation of the flow through porous media. A 2D compact finite differences method was employed to solve the unsteady incompressible Navier-Stokes equations with fourth-order Runge-Kutta temporal discretization and fourth-order compact schemes for spatial discretization. The solutions were obtained in a Cartesian g...
This paper is centred on a compact finite differences method for the calculation of two-dimensional viscous flows through complex geometries. The immersed boundaries are set through body forces that allow for the imposition of boundary conditions that coincide with the computational grid. Two different flow configurations are simulated. First, the flow past a cylinder with square cross-section inside a plane ch...
The use of photovoltaic panels is rising, and its use will play a significant role in achieving the European Union’s target of 20% of energy consumption coming from renewable resources. At the same time, suppliers of solar energy panels aim to optimise the use of photovoltaic cells. This can be done, for example, by using intelligent methods of cooling to gain the maximum electrical output possible, and minimiz...
A compact finite differences method is used to calculate two-dimensional viscous flows through complex geometries. The immersed boundaries are set through body forces that allow for the imposition of boundary conditions that coincide with the computational grid. Two different flow configurations are simulated. First, the flow through a row of cylinders with square cross-sections is calculated and used as a vali...
A compact finite differences method is used to calculate two-dimensional viscous flows through complex geometries. The immersed boundaries are set through body forces that allow for the imposition of boundary conditions that coincide with the computational grid. Two different flow configurations are simulated. First, the flow through a row of cylinders with square cross-sections is calculated and used as a vali...
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