I-Corps: Mesh-Free Monte Carlo Methods for Integrated Simulation of Multi-Scale Systems

这个I-Corps项目的更广泛的影响/商业潜力源于使用无网格蒙特卡罗方法作为多物理场，多尺度系统模拟的新技术。本课题将无网格仿真方法应用于超导系统设计。缺乏对超导线圈进行综合分析和设计的工程工具，特别是对超导淬火等复杂现象的分析和设计，是阻碍可靠超导系统发展的瓶颈。该项目涉及超导器件的设计和仿真，实现可靠的、计算效率高的建模、仿真和分析复杂现象，如全尺寸系统中的淬火。用于多尺度系统的多物理场分析的无网格建模工具有利于大尺寸或多尺度几何形状使网格计算禁止的应用。这个I-Corps项目涉及基于无网格蒙特卡罗方法的多尺度系统的多物理场模拟的软件工具和仿真技术。该方法使具有多尺度几何的耦合系统的计算高效仿真成为可能，而传统的有限元方法无法进行适当的网格划分。该项目能够全面研究正在开发的软件工具和模拟技术的潜在商业化，以及评估技术领域和商业应用，这些技术领域和商业应用可以从拟议的多尺度系统模拟方法中受益。该项目可以基于一种新颖的方法：无网格浮动随机游走蒙特卡罗方法，在各种潜在的应用中模拟多尺度、多物理问题，并可以模拟目前使用传统有限元工具难以处理的系统。

The broader impact/commercial potential of this I-Corps project has its origins in the use of Mesh-free Monte Carlo methods as a novel technology for simulation of multi-physics, multi-scale systems. This project's mesh-free simulation approach is applied to superconducting system design. The lack of engineering tools for integrated analysis and design of superconducting coils, in particular for complex phenomena such as superconducting quench, is a bottleneck that hinders the development of reliable superconducting systems. This project addresses the design and simulation of superconducting devices, enabling reliable, computationally efficient modeling, simulation and analysis of complex phenomena such as quench in full scale systems. Mesh-free modeling tools for multi-physics analysis of multi-scale systems benefit applications where large dimensions or multi-scale geometries makes meshing computationally prohibitive.This I-Corps project involves software tools and simulation techniques for multi-physics simulation of multi-scale systems based on mesh-free Monte Carlo methods. The approach enables the computationally efficient simulation of coupled systems with multi-scale geometries where proper meshing for conventional finite element methods becomes prohibitive. The project enables a complete study of the potential commercialization of the software tools and simulation techniques being developed, as well as an assessment of technical areas and commercial applications which could benefit from the proposed approach for simulation of multi-scale systems. The project could enable simulation of multi-scale, multi-physics problems in a wide variety of potential applications based on a novel approach: mesh-free floating random walk Monte Carlo methods and may enable simulation of systems that are currently intractable using conventional finite element tools.