Numerical Simulation of Complex Incompressible Viscous Flow in Time Varying Geometries: Applications

时变几何形状中复杂不可压缩粘性流的数值模拟：应用

• 批准号: 0209066
• 负责人: Roland Glowinski
• 金额: $ 36.88万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-07-01 至 2006-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0209066&HistoricalAwards=false
• 关键词: Numerical; Simulation; Complex; Incompressible; Viscous

Recent progress by the investigators in the simulation of incompressible viscous flow modeled by the Navier-Stokes equations and their visco-elastic and visco-plastic generalizations in two and three dimensions has led to the proposed work in challenging three-dimensional problems. Specifically, the authors intend to study the direct simulation of pressure-driven particulate flow in three dimensional pipes and horizontal drilling wells, the fluid being either Newtonian or non-Newtonian with the number of particles ranging in the thousands. They will also study the direct numerical simulation of blood flow around three-leaflet prosthetic heart valves. These problems require methodological advances such as the numerical treatment of collisions, the motion of non-spherical objects in viscous fluids and the coupling of fictitious domain and Chimera type methods in order to improve the treatment of boundary layers. During the past six years, the investigators of this award have developed a methodology well suited to numerical simulation of flow in regions with moving boundaries. The resulting methodology has been successfully applied by the authors and other scientists and engineers to the solution of difficult problems from Sciences and Engineering. Among these problems are the direct simulation of sedimentation, fluidization and particle transport phenomena, which play an important role in various areas in Sciences and Engineering (Petroleum Engineering, Food Industry,...). The main goals of this project are to (1) improve the existing methodology so that it can address fluid/particle interaction for particles of relatively complicated shape, (2) develop realistic models and efficient methods for the computational treatment of the collisions taking place in fluid/particle interactions, (3) apply the resulting methodology to an important problem in cardio-vascular medicine namely, the simulation of blood flow/heart valve interaction and (4) simulate slurry transportation in horizontal pipelines and wells, an important issue in enhanced oil recovery. In the heart valve project, the goal is to use the simulation tool to design artificial heart valves generating much less thrombin (a natural blood thickener causing artery clotting) than the ones currently used, which require the patient to take blood thinning drugs which have in general health damaging side effects. The hope is that with an improved design the need for blood thinners will be substantially reduced if not eliminated. This part of project will be done in collaboration with cardio-vascular specialists (including heart surgeons) in the USA and Europe.

最近的进展，调查人员在不可压缩粘性流模拟模拟的Navier-Stokes方程和他们的粘弹性和粘塑性的推广，在二维和三维的挑战性的三维问题，导致了拟议的工作。具体地说，作者打算研究直接模拟压力驱动的颗粒流在三维管道和水平钻井威尔斯，流体是牛顿或非牛顿的颗粒数量在数千范围内。他们还将研究三叶人工心脏瓣膜周围血流的直接数值模拟。这些问题需要方法的进步，如碰撞的数值处理，粘性流体中的非球形物体的运动和虚拟域和嵌合体类型的方法的耦合，以改善边界层的处理。在过去的六年中，该奖项的研究人员开发了一种非常适合于移动边界区域流动数值模拟的方法。由此产生的方法已成功地应用于作者和其他科学家和工程师从科学和工程的难题的解决方案。在这些问题中，沉降、流化和颗粒输送现象的直接模拟在科学和工程的各个领域（石油工程、食品工业等）中发挥着重要作用。该项目的主要目标是（1）改进现有方法，使其能够处理相对复杂形状的颗粒的流体/颗粒相互作用，（2）开发用于计算处理流体/颗粒相互作用中发生的碰撞的真实模型和有效方法，（3）将所得方法应用于心血管医学中的重要问题，即，血液流动/心脏瓣膜相互作用的模拟;以及（4）模拟水平管道和威尔斯井中的泥浆输送，这是提高石油采收率中的重要问题。在心脏瓣膜项目中，目标是使用模拟工具设计人造心脏瓣膜，其产生的凝血酶（一种导致动脉凝血的天然血液增稠剂）比目前使用的人造心脏瓣膜少得多，目前使用的人造心脏瓣膜需要患者服用血液稀释药物，这些药物通常具有损害健康的副作用。希望通过改进设计，即使不能消除，也能大大减少对血液稀释剂的需求。这部分项目将与美国和欧洲的心血管专家（包括心脏外科医生）合作完成。