Publication

Abstract : This work proposes an automated mesh generator using the octic order triangular elements for various two-dimensional (2D) geometries. The developed code produces high-quality eighth-order triangular meshes by providing nodal connectivity, node position, and boundary details. This method will have a major influence on various engineering applications to provide sustainable solutions. Discretizing 2D domains into octic meshes can be advantageous in waveguide problems to minimise energy loss leading to sustainable energy, aerospace engineering, sustainable structural designs, fluid dynamics, manufacturing industries, crocheting, knitting, etc. The proposed automated octic triangular mesh generator using distmesh in MATLAB can be utilized for finite element simulations in various applications effectively. This scheme confirms that, in comparison to lower-order elements, octic elements dramatically reduce the count of degrees of freedom and elements needed to attain a desired level of precision. The numerical results show that the octic mesh elements perform better than the lower-order elements in terms of efficiency and accuracy. Provides reductions of over 96% in the number of elements and up to 90% in the degrees of freedom compared to linear, quadratic, and cubic orders, for the desired cutoff frequencies of the transverse electric and transverse magnetic modes in waveguides. This demonstrates the accuracy and efficiency of the octic order, making it ideal for various engineering applications.