Structure Preserving Adaptive Enriched Galerkin Methods for Pressure-Driven 3D Fracture Phase-Field Models

用于压力驱动 3D 断裂相场模型的结构保持自适应富集伽辽金方法

• 批准号: 392587580
• 负责人: Dr. Mirjam Walloth
• 金额: --
• 依托单位: Arbeitsgruppe Numerik und Wissenschaftliches Rechnen
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2021-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/392587580?language=en
• 关键词: Structure; Preserving; Adaptive; Enriched; Galerkin

The project is concerned with the development of innovative enriched Galerkin methods for the reliable simulation of pressure-driven fracture problems.Within this scope the project will consider the sound modeling of pressure driven fractures in (quasi-)incompressible materials for quasi-static and dynamic fracture-propagation. Emphasis will be given to the analysis of the incompressible limit by combining mixed formulations together with recent pressure robust discretizations for the Stokes-equation.This will be complemented by designing convergent adaptive mesh-refinement schemes based on new efficient error estimators for the variational inequality associated with the fracture irreversibility.

该项目关注的是开发创新的丰富的Galerkin方法，用于压力驱动断裂问题的可靠模拟。在此范围内，该项目将考虑（准）不可压缩材料中压力驱动断裂的准静态和动态再传播的声音建模。重点将放在不可压缩极限的分析上，结合混合公式和最近的Stokes方程的压力鲁棒离散，并通过设计基于新的有效误差估计的收敛自适应网格加密方案来补充与断裂不可逆性相关的变分不等式。