NUMERICAL SOLUTION OF STEADY STATE FREE CONVECTION USING UNSTRUCTURED DISCONTINUOUS GALERKIN METHOD

Pranowo, . and Pranowo, . and Deendarlianto NUMERICAL SOLUTION OF STEADY STATE FREE CONVECTION USING UNSTRUCTURED DISCONTINUOUS GALERKIN METHOD. In: The 3rd International Conference on Product Design & Development 2007, 12 Desember 2017, UGM, Yogyakarta.

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Abstract

The development of discontinuous Galerkin method in order to solve the steady state of natural convection problem is presented. In the present method, the collocated nodes were used, whereas the velocity, pressure and temperature fields were located on the same nodes. The pseudo-unsteady and explicit low storage fourth orders Runge-Kutta method scheme were used for the time integration. Next, the discontinuous Galerkin finite element and unstructured mesh were employed to calculate the spatial discretization. The difficulty relates to the pressure can be overcome by using an artificial compressibility method. Solutions to the 2-D natural convective flow in concentric annulus have been obtained and compared with available results. The comparisons showed a good agreement.

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