Developing Efficient and Robust Computational Tools for Subdiffusive Transport in Poroelastic Media

开发用于多孔弹性介质中的次扩散传输的高效且鲁棒的计算工具

基本信息

批准号：
2208590
负责人：
Jiangguo Liu
金额：
$ 23.49万
依托单位：
Colorado State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2022
资助国家：
美国
起止时间：
2022-08-01 至 2025-07-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2208590&HistoricalAwards=false
关键词：
Developing Efficient Robust Computational Tools

项目摘要

Transport in porous media occurs in a broad range of real world problems, e.g., CO2 sequestration and delivery of therapy agents to tumor sites. This project aims at development of robust and efficient numerical simulation toolboxes for such multi-scale multi-physics processes. This will enhance our understanding of these complicated phenomena and accordingly have further impact on better use of natural resources and cures for diseases. The project will also provide hands-on training opportunities for students.The focus of this project is on design, analysis, implementation, and applications of a family of novel numerical methods for subdiffusive transport in poroelastic media. Novel finite element methods will be developed for approximating solid displacement, fluid pressure, and concentration of substance being transported. Conditions for stable coupling of sub-problem solvers will be investigated. These methods will be applied to simulations of drug delivery, tissue engineering, and reservoir engineering, and other similar multi-physics processes. These novel solvers will be implemented as C++ and Matlab code modules that are openly accessible to the scientific computing community.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

多孔培养基中的运输发生在广泛的现实世界中，例如二氧化碳隔离和将治疗剂传递到肿瘤部位。该项目旨在开发用于此类多尺度多物理过程的强大而有效的数值模拟工具箱。这将增强我们对这些复杂现象的理解，因此对更好地利用自然资源和疾病的治疗方法产生了进一步的影响。该项目还将为学生提供动手的培训机会。该项目的重点是设计，分析，实施和应用的新型数值方法，用于毛弹性媒体中的次要运输。将开发出新的有限元方法，用于近似固体位移，流体压力和运输的物质浓度。将研究稳定的子问题解决器耦合的条件。这些方法将应用于药物输送，组织工程和储层工程以及其他类似的多物理过程的模拟。这些新颖的求解器将被实施为C ++和MATLAB代码模块，这些模块可公开可供科学计算社区访问。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛影响的评估审查标准来通过评估来获得支持的。