Finite Volume Simulation Framework for Die Casting with Uncertainty Quantification

TL;DR

This paper introduces a comprehensive finite volume simulation framework for die casting that incorporates heat transfer, fluid flow, microstructure estimation, and uncertainty quantification, enabling faster and validated solidification process modeling.

Contribution

It presents a novel computational framework combining advanced numerical methods and uncertainty quantification for more accurate and efficient die casting simulations.

Findings

Significant computational speed-up achieved.

Validated simulation results against experimental data.

Effective incorporation of stochastic input variations.

Abstract

The present paper describes the development of a novel and comprehensive computational framework to simulate solidification problems in materials processing, specifically casting processes. Heat transfer, solidification and fluid flow due to natural convection are modeled. Empirical relations are used to estimate the microstructure parameters and mechanical properties. The fractional step algorithm is modified to deal with the numerical aspects of solidification by suitably altering the coefficients in the discretized equation to simulate selectively only in the liquid and mushy zones. This brings significant computational speed up as the simulation proceeds. Complex domains are represented by unstructured hexahedral elements. The algebraic multigrid method, blended with a Krylov subspace solver is used to accelerate convergence. State of the art uncertainty quantification technique is included in the framework to incorporate the effects of stochastic variations in the input parameters. Rigorous validation is presented using published experimental results of a solidification problem.