Abstract:
This report focuses on the application of NAFEMS (National Agency for Finite Element Methods and Standards) benchmark problems for the rigorous code verification of MDG (Multi-Domain General) computational mechanics software. The primary objective is to ensure the accuracy and reliability of the MDG code's underlying numerical formulations and implementations. Code verification is a critical step in the overall assessment of simulation software, ensuring that the code solves the governing equations correctly. NAFEMS provides a widely recognized set of standard test cases with known analytical or highly accurate reference solutions, making them ideal for evaluating the performance of finite element programs. This document presents the methodology and results of applying selected NAFEMS benchmarks to the MDG code, covering fundamental aspects of structural analysis. By systematically comparing the MDG code's outputs against these well-established benchmarks, this study aims to identify and rectify any discrepancies, thus enhancing confidence in the code's predictive capabilities. The findings contribute to the broader effort of ensuring the quality and trustworthiness of computational simulations used in various engineering and scientific applications, particularly within the context of the work conducted at Lawrence Livermore National Laboratory.
