Lattice Boltzmann Methods for Concentration- and Temperature-Induced Density Driven Flows

0440253 Sukop晶格玻尔兹曼方法（LBM）的最新进展提供了一种全新的方法来计算浓度和温度诱导密度驱动流的具有挑战性的非线性问题的解决方案。 低密度淡水和高密度海水之间的相互作用，在沿海地区的地下水流说明了一般问题的性质。沿海地区的地下水模型必须能够模拟密度驱动的流动以及多孔介质中溶质和热量的耦合平流、扩散和分散。虽然LBM比传统的更简单（例如，有限元）方法，它们以前没有被应用于海水入侵问题。由于涉及非线性、耦合溶质/能量输运和密度驱动流的传统模拟中固有的数值困难，文献中经常报告不一致的数值结果。这些模型所解决的问题的分析解决方案是很少提供的，和各种代码的“验证”一般依赖于与以前的数值结果的比较。 作为一种完全不同的、更根本的方法，有约束力的措施可能大大有助于澄清这些问题，并为解决这些问题提供一种更有力、更有效的手段。我们将比较LBM与传统的基准问题的方法，并制定更大的，现实的problems.Intellectual merit的拟议activityThis研究是至关重要的知识和理解的水文沿海含水层，其他受盐影响的含水层，和高级别（热）废物处置的进步。其他学科的流体和多孔介质是重要的可以受益。PI和研究团队是唯一有资格进行这个项目。PI对溶质运移、孔隙和宏观尺度分散以及LBM进行了研究。研究团队包括一名计算机科学家，他在LBM、数值方法和并行算法方面具有专业知识。充足的资源可用于进行该项目（见支持信）。更广泛的影响拟议的工作将提供开始PI，博士后研究员，研究生和本科生在LBM和现有模型的丰富经验。博士后和学生将接受强化培训。该项目将直接导致在FIU，它拥有卡内基基金会的最高评级（博士/研究型大学-广泛），是一个公认的少数民族服务机构，授予更多的学士学位，以西班牙裔学生比任何其他美国学生的学生增强课堂和研究经验。未来的博士后和研究生学生将受益。项目参与者之间将建立长期的科学伙伴关系。将开发一门先进的溶质运移模型的新课程。将从金融情报所的NSF GeoSCOPE项目招募本科生（见支持信）。高性能计算和算法开发工作将为广大科学界带来永久性的基础设施增强和建模工具。研究结果将作为参考期刊文章、科学会议上的报告、论文和通过互联网广泛传播。软件将提供给感兴趣的研究人员，并最终作为一个模块选项，可从广泛使用的模型接口访问。社会将受益于科学家和工程师更准确、更迅速地预测溶质浓度和温度变化引起的密度驱动的流动的能力的提高，例如影响沿海地区数百万依赖地下水的人的流动。

0440253SukopRecent advances in lattice Boltzmann methods (LBMs) offer a radical new way of computing solutions to the challenging non-linear problems of concentration- and temperature-induced density driven flows. Interactions between low density fresh water and high density seawater in ground water flows in coastal regions illustrate the nature of the general problem. Ground water models for coastal areas must be able to simulate density driven flow and the coupled advection, diffusion, and dispersion of solutes and heat in porous media. Although LBMs are simpler than conventional (e.g., finite element) methods for these problems, they have not previously been applied to seawater intrusion problems. Because of the numerical difficulties inherent in conventional simulations involving non-linear, coupled solute/energy transport and density-driven flow, inconsistent numerical results have often been reported in the literature. Analytical solutions for the problems addressed by these models are rarely available, and 'validation' of various codes has generally relied on comparison with previous numerical results. As a completely different, more fundamental approach, LBMs may contribute significantly to clarifying these issues and offer a more robust and efficient means of solving these problems. We will compare LBM with conventional approaches for benchmark problems and develop code for larger, realistic problems.Intellectual merit of the proposed activityThis research is critical to advancement of knowledge and understanding of the hydrology of coastal aquifers, other salt-affected aquifers, and high-level (hot) waste disposal. Other disciplines where fluids and porous media are important could benefit.The PI and research team are uniquely qualified to conduct this project. The PI has conducted research on solute transport, pore- and macro-scale dispersion, and LBMs. The research team includes a computer scientist with expertise in LBMs, numerical methods, and parallel algorithms. Ample resources are available to conduct the project (see letters of support).Broader ImpactsThe proposed work will provide the beginning PI, the post-doctoral researcher, and graduate and undergraduate students with extensive experience in LBMs and existing models. The post-doc and students will receive intensive training. The project will lead directly to enhanced classroom and research experiences for students at FIU, which holds the Carnegie Foundation's highest rating (Doctoral/Research University-Extensive) and is a recognized Minority Serving Institution that awards more Bachelor's degrees to Hispanic students than any other U.S. university. Future students of the post-doc and graduate student will benefit. Career-long scientific partnerships will be established between the project participants. A new course in advanced solute transport modeling will be developed. Undergraduates will be recruited from the NSF GeoSCOPE project at FIU (see letter of support). The high-performance computing and algorithm development work will result in permanent infrastructure enhancement and modeling tools for the broad scientific community. Results will be broadly disseminated as refereed journal articles, presentations at scientific meetings, a dissertation, and via the Internet. Software will be available to interested researchers and ultimately as a modular option accessible from widely used model interfaces. Society will benefit from the enhanced ability of scientists and engineers to more accurately and rapidly predict density-driven flows arising from solute concentration and temperature variations such as those that affect millions of people who depend on ground water in coastal areas.