Mesh convergence test for finite element method on high pressure gas turbine disk rim using energy norm: An alternate approach

The study focuses on investigation of mesh convergence test for two-dimensional disk rim of high-pressure turbine using energy norm as an alternate approach. Numerical methods solve the real-time complex problems, represented by partial differential equations using discretization of time and space variables. The criterion for finite element method to obtain a converged solution to the problem and arrive at accurate results from simulations is optimized input data. However, all discrete methods introduce discretization error into the solution. The increase in the number of nodes, i.e mesh density reduces the error induced leading to the converged solution. The mesh density is increased in iterations, the trend related to convergence of solution, and error induced are observed. The study used CATIA® and ANSYS® for modelling and analysis, and the results obtained showed the effective use of energy norm technique being used as criterion for evaluation and testing to obtain a converged solution. The normalized error percentage was observed to be in the range of 6 to 8% for converged solution.