Mathematical Modeling and Analysis
Mathematical Modeling and Analysis
The Telluride project at Los Alamos is a strategic computing effort aimed at producing high fidelity simulations of metal solidification processes. Its code provides numerical simulations of solidification, fluid flow, heat transfer, phase transformations, mechanical deformation, and welding processes, on the kinds of meshes seen in the figure. The simulation of each component is driven by a discretization of the continuum equations describing the physical processes. The components are then coupled in a way that describes their true physical interaction.
Here, we investigate inaccuracies in the heat transfer component that are due to a poor approximation of the heat flux using existing methodologies. Furthermore, we describe a robust approximation scheme for calculating the heat flux that is based on the support-operators methodology.
