Conference support: XVIth International Workshop on Numerical Methods for Non-Newtonian Flows, Northampton, MA

摘要自1979年以来，非牛顿流体力学数值方法国际研讨会大约每两年举行一次，在北美和欧洲轮流举行。本提案是为了部分支持本系列第十六次研讨会。这些资金将主要用于支持年轻科学家、来自科学界代表性不足群体的科学家以及以前没有加入科学界的科学家的旅行。这种支持将扩大非牛顿流社区的参与，并通过引入新成员来保持其智力活力。智力价值：1979年最初的研讨会的主要动机是在社区中认识到，已经开发的数学模型来描述流动的复杂流体（特别是聚合物溶液和熔体）比更传统的牛顿或广义牛顿流体流动问题更难以计算解决。这种流体的建模对于从聚合物加工到生物医学设备中的血流等应用非常重要。最近的研讨会涵盖的主题包括由流动的复杂流体的连续模型引起的微分或积分微分方程的数值解方法，以及流动的复杂流体模型的数学分析和描述它们的现象学和统计力学框架。此外，近年来研讨会的一个重要方面是介观和多尺度模拟方法。最后，我们强调，研讨会不仅涉及数值方法，还涉及物理现象和工程过程，其预测和理解激发了这些方法。尽管讲习班的名称，实验工作的介绍是必不可少的，作为动力和验证最新一代的方法。更广泛的影响：这一系列的研讨会是真正的国际性的，来自世界各地的12个国家的与会者已经注册了本次研讨会。非正式的形式，特别是所有与会者一起吃饭的事实，促进了他们之间的密切互动。通过这项拨款提供的旅行补助金将促进年轻人和代表性不足的群体成员参与科学。拨款的甄选过程亦会重视非牛顿流体力学的主要研究领域的申请人，目的是通过与该领域以外的研究人员的思想交流，实现该领域的智力增长。在研讨会上报告的进展将通过《非牛顿流体力学杂志》的特刊和手稿传播，这些手稿将包含基于研讨会上提出的研究的同行评审文章。

AbstractThe International Workshops on Numerical Methods in Non-Newtonian Fluid Mechanics have been held roughly biennially, alternating between North America and Europe since 1979. This proposal is for partial support of the sixteenth workshop in this series. The funds will primarily be used for travel support for young researchers, researchers from under-represented groups in science, as well as researchers who have not previously been part of the community. This support will broaden participation in the Non-Newtonian flows community and maintain its intellectual vitality by bringing in new members. Intellectual Merit: The primary motivation for the original workshop in 1979 was the recognition in the community that the mathematical models that had been developed to describe flowing complex fluids (specifically polymer solutions and melts) were much more difficult to solve computationally than were more traditional flow problems with Newtonian or generalized Newtonian fluids. Modeling of such fluids is important for applications ranging from polymer processing to blood flow in biomedical devices. Topics covered in recent workshops include numerical methods for solution of the differential or integrodifferential equations arising from continuum models of flowing complex fluids as well as also mathematical analysis of models of flowing complex fluids and the phenomenological and statistical mechanical framework for describing them. Additionally, an important aspect of the workshops in recent years has been mesoscopic and multiscale simulation methods. Finally, we emphasize that the workshop addresses not just numerical methods but also the physical phenomena and engineering processes whose prediction and understanding motivate those methods. Despite the name of the workshop, presentations of experimental work are essential, as motivation and validation for the newest generations of methods.Broader Impacts: This series of workshops is truly international attendees from 12 nations around the world are already registered for the present workshop. The informal format, and in particular the fact that attendees all eat meals together promotes close interaction between them. The travel grants provided through this grant will promote participation from young people and members of underrepresented groups in science. The selection process for the grants will also give weight to applicants whose primary research field has not been non-Newtonian fluid mechanics, with the aim of achieving intellectual growth in the field by cross-fertilization of ideas brought by researchers from outside the field. Dissemination of the advances reported in the workshop will be achieved via a special issue of Journal of Non-Newtonian Fluid Mechanics and manuscripts that will contain peer-reviewed articles based on research presented at the workshop.