Multiscale space-time algorithms and data structures for the simulation of porous media flow.

用于模拟多孔介质流动的多尺度时空算法和数据结构。

• 批准号: 1764342
• 金额: --
• 依托单位: Durham University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1764342
• 关键词: Multiscale; space; time; algorithms; data

Codes to simulate oil and gas flow in porous media (Darcy) are mature today. Codes to simulate gas flow in free space (hyperbolic systems) are mature today, too. In this project, we are interested in setups of porous media (rocks) that are fissured/fractured. Networks and submanifold are embedded into the rock. Along the fractures, the fluid is best described as a hyperbolic equation system. Within the rocks, it exhibits diffusive nature. The most popular codes simulating the diffusion rely on (block-) structured data structures such as adaptive Cartesian grids, while the flow along the submanifold can be simulated more efficiently with network-like data structures. Each domain alone can be simulated efficiently. The picture changes as soon as the creeping flow `hits` fractures that run through the computational domain. Slow, creeping flow starts to rush through the domain, while the flow along the factures in turn induces slow flow motion in the adjacent porous medium. This is a multiscale problem both in terms of spatial dimensions as well as temporal and spatial scale. Furthermore, fast codes simulating such a setup have to bring together Cartesian or structured adaptive meshes with low-dimensional data structures.

目前，模拟油气在多孔介质（达西）中流动的程序已经比较成熟。模拟自由空间中气体流动的代码（双曲线系统）今天也很成熟。在这个项目中，我们感兴趣的是裂缝/断裂的多孔介质（岩石）的设置。网络和子流形嵌入到岩石中。沿裂缝沿着，流体最好描述为双曲线方程组。在岩石中，它表现出扩散的性质。最流行的代码模拟扩散依赖于（块）结构的数据结构，如自适应笛卡尔网格，而流沿着子流形可以更有效地模拟与网络状的数据结构。每个域都可以单独有效地模拟。一旦蠕动流"击中"贯穿计算域的裂缝，情况就发生了变化。缓慢的蠕动流开始穿过该区域，而沿沿着裂缝的流动又在相邻的多孔介质中引起缓慢的流动运动。这是一个多尺度的问题，无论是在空间维度以及时间和空间尺度。此外，模拟这种设置的快速代码必须将笛卡尔或结构化自适应网格与低维数据结构结合在一起。

项目成果

Delayed approximate matrix assembly in multigrid with dynamic precisions

具有动态精度的多重网格中的延迟近似矩阵组装

• DOI: 10.1002/cpe.5941
• 发表时间: 2020
• 期刊: Practice and Experience
• 作者: Murray C

Stabilised Asynchronous Fast Adaptive Composite Multigrid using Additive Damping

使用附加阻尼的稳定异步快速自适应复合多重网格

• DOI: 10.48550/arxiv.1903.10367
• 发表时间: 2019
• 作者: Murray C

Stabilized asynchronous fast adaptive composite multigrid using additive damping

使用加性阻尼的稳定异步快速自适应复合多重网格

• DOI: 10.1002/nla.2328
• 发表时间: 2020
• 期刊: Numerical Linear Algebra with Applications
• 影响因子: 4.3
• 作者: Murray C

Parallel Processing and Applied Mathematics - 13th International Conference, PPAM 2019, Bialystok, Poland, September 8-11, 2019, Revised Selected Papers, Part I

并行处理和应用数学 - 第 13 届国际会议，PPAM 2019，波兰比亚韦斯托克，2019 年 9 月 8-11 日，修订后的精选论文，第一部分

• DOI: 10.1007/978-3-030-43229-4_3
• 发表时间: 2020
• 作者: Murray C

A multiresolution Discrete Element Method for triangulated objects with implicit timestepping

具有隐式时间步长的三角对象的多分辨率离散元方法

• DOI: 10.48550/arxiv.2105.12415
• 发表时间: 2021
• 作者: Noble P