Publications

Publications

FEM SOLUTION UNCERTAINTY, ASYMPTOTIC SOLUTION, AND A NEW APPROACH TO ACCURACY ASSESSMENT

This paper presents an approach to verifying Finite Element Method solutions by addressing the various sources of errors and uncertainties in FEM computations. It introduces three mathematical methods and corresponding metrics to assess the accuracy of FEM solutions, allowing for the quantification of uncertainty and the identification of a "best" estimate. The methods and metrics are calibrated with known analytical solutions and applied to problems where theoretical solutions are not available

Case Studies in Metamodeling and Random Search Techniques

Using parametric geometry definitions in LS‑OPT, this paper evaluates response‑surface, neural‐network, and Kriging surrogates for crashworthiness shape optimization against a sequential random search. It highlights how surrogate‐based parametric modeling accelerates convergence and captures complex buckling and impact behavior. The work provides practical guidelines for selecting metamodeling strategies in parametric shape optimization.

Filtration Theory Using Computer Simulations

Werner Bergman and Ivan Corey

This technical paper applies Computational Fluid Dynamics principles to simulate filtration, using Navier-Stokes theory and the Langevin particle equation to model particle capture and pressure drop through fiber arrays. The work integrates various particle capture mechanisms into a single simulation framework, offering a comprehensive approach to understanding filtration performance.

Liquid Filtration Simulation

Ivan Corey and Werner Bergman

This technical paper delves into the simulation of liquid filtration, demonstrating a practical application of Computational Fluid Dynamics to analyze and predict the behavior of fluids and particles within filter structures. The work is crucial for advancing the understanding of filtration processes and developing more effective separation technologies.

GILA User's Manual

Mark A. Christon

This is the User's Manual for GILA, a Computational Fluid Dynamics (CFD) simulation code from Sandia National Laboratories. It provides detailed guidance for leveraging GILA's capabilities in various computational mechanics problems, specifically those involving incompressible fluid flow and complex thermal-hydraulic interactions.