A Generalized Optimization Framework for High-Order, Metric-Based Mesh Adaptation of High-Order Finite-Element Discretization
Abstract
High-order computational fluid dynamics (CFD) simulations using the finite-element method (FEM) can achieve high accuracy at a low cost, but their efficiency deteriorates when the mesh is not optimal. The strict mesh requirements to realize the full potential of high-order CFD make meshing a significant bottleneck in the CFD workflow and hinder the widespread adoption of high-order CFD. accelerated convergence by as much as a full order. Metric-based mesh adaptation is appealing for optimization due to the continuous nature of the mesh framework. This project will create the theoretical underpinnings for high-order, metric-based mesh adaptation and use a higher-order Riemannian metric field to build an accurate continuous mesh framework for high-order meshes. This project will also develop a robust error model to quantify the effect of elemental splitting and high-order geometry node movements on the elemental error. This error model will guide the metric updates and hqr-adaptation. This project will also investigate efficient approaches to drive the mesh-implied metric toward the desired metric through hqr-adaptation.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Feb 06, 2025
- Source ID
- FA95502410232
Entities
People
- Devina Sanjaya
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Tennessee