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

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办一次，北美和欧洲轮流举行。这项提议是为了部分支持这一系列的第十六次研讨会。这笔资金将主要用于年轻研究人员、科学中代表性不足群体的研究人员以及以前没有加入社区的研究人员的旅行支持。这种支持将扩大非牛顿流动社区的参与，并通过引入新成员保持其智力活力。知识价值：1979年最初的研讨会的主要动机是社区中认识到，已经开发的描述流动的复杂流体(特别是聚合物溶液和熔体)的数学模型比更传统的牛顿或广义牛顿流体流动问题更难计算解决。这类流体的建模对于从聚合物加工到生物医学设备中的血液流动的应用非常重要。最近的研讨会涉及的主题包括求解流动的复杂流体的连续介质模型所产生的微分方程式或积分微分方程式的数值方法，以及流动复杂流体模型的数学分析和描述它们的唯象和统计力学框架。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，研讨会不仅讨论数值方法，而且还讨论物理现象和工程过程，它们的预测和理解激发了这些方法。尽管研讨会的名字叫实验工作，但展示实验工作是必不可少的，因为这是对最新一代方法的激励和验证。广泛的影响：这一系列研讨会是真正的国际研讨会，来自世界各地12个国家的与会者已经登记参加本次研讨会。这种非正式的形式，特别是与会者都在一起用餐的事实，促进了他们之间的密切互动。通过这笔赠款提供的旅行赠款将促进年轻人和代表人数不足的群体成员参与科学。奖助金的遴选过程也将考虑那些主要研究领域不是非牛顿流体力学的申请者，目的是通过交流该领域外研究人员带来的想法来实现该领域的智力增长。研讨会上报告的进展的传播将通过《非牛顿流体力学杂志》的特刊和手稿来实现，其中将包含基于研讨会上提出的研究成果的同行评议文章。

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.