DeepAI
Log In Sign Up

Large scale simulation of pressure induced phase-field fracture propagation using Utopia

07/25/2020
by   Patrick Zulian, et al.
0

Non-linear phase field models are increasingly used for the simulation of fracture propagation models. The numerical simulation of fracture networks of realistic size requires the efficient parallel solution of large coupled non-linear systems. Although in principle efficient iterative multi-level methods for these types of problems are available, they are not widely used in practice due to the complexity of their parallel implementation. Here, we present Utopia, which is an open-source C++ library for parallel non-linear multilevel solution strategies. Utopia provides the advantages of high-level programming interfaces while at the same time a framework to access low-level data-structures without breaking code encapsulation. Complex numerical procedures can be expressed with few lines of code, and evaluated by different implementations, libraries, or computing hardware. In this paper, we investigate the parallel performance of our implementation of the recursive multilevel trust-region (RMTR) method based on the Utopia library. RMTR is a globally convergent multilevel solution strategy designed to solve non-convex constrained minimization problems. In particular, we solve pressure-induced phase-field fracture propagation in large and complex fracture networks. Solving such problems is deemed challenging even for a few fractures, however, here we are considering networks of realistic size with up to 1000 fractures.

READ FULL TEXT

page 14

page 15

03/23/2018

Parallel Range, Segment and Rectangle Queries with Augmented Maps

The range, segment and rectangle query problems are fundamental problems...
03/26/2021

Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization

We introduce a novel variant of the recursive multilevel trust-region (R...
03/12/2021

XAMG: A library for solving linear systems with multiple right-hand side vectors

This paper presents the XAMG library for solving large sparse systems of...
08/31/2020

Simulation Framework for Realistic Large-scale Individual-level Health Data Generation

We propose a general framework for realistic data generation and simulat...