Computational Methods for the Direct Simulation of Particulate Flow of Newtonian and Non-Newtonian Incompressible Viscous Fluids

牛顿和非牛顿不可压缩粘性流体颗粒流直接模拟的计算方法

• 批准号: 9973318
• 负责人: Roland Glowinski
• 金额: $ 17.1万
• 依托单位: University of Houston
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-08-01 至 2003-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9973318&HistoricalAwards=false
• 关键词: Computational; Methods; Direct; Simulation; Particulate

9973318The main goal of this project is to address the numerical solution of the Navier-Stokes equations modeling the flow of incompressible Newtonian and non-Newtonian viscous fluids and to combine the resulting methodology with appropriate domain embedding methods to investigate the simulation of particulate incompressible viscous fluid flows, e.g., flow of mixtures of incompressible fluids and solid particles moving, typically, under the effect of gravity and hydrodynamical forces. The numerical methodology will rely on the following basic basic ingredients:(1) Time discretization by operator splitting,(2) Treatment of advection by the method of characteristics or reduction to a second order wave-like equation,(3) Space approximation by finite elements,(4) Use of a distributed Lagrange multiplier/fictitious (embedding) domain methodology to localize the solid particles and force their rigid body motion.Typical non-Newtonian fluids to be investigated include Maxwell and Oldroyd B.Our goal in this project is to develop efficient methods, able to achieve the numerical simulation of three-dimensional flow of mixtures of incompressible viscous fluids with several hundreds to thousands of solid particles. Such large scale simulations have the characteristics of a Grand Challenge in Scientific Computing and success will rely on advanced computational methods implemented on powerful parallel computers. With these simulation tools the scientific community will be able to better understand the complicated mechanisms taking place for example in chemical reactors and in fractured oil reservoirs. Among the consequences of these investigations we can expect for example improved manufacturing techniques for rubber materials and pharmaceutical drugs, and also improved efficiency for drilling techniques used in oil Industry.

9973318该项目的主要目标是解决模拟不可压缩牛顿和非牛顿粘性流体流动的Navier-Stokes方程的数值解，并将所得方法与适当的域嵌入方法联合收割机相结合，以研究颗粒不可压缩粘性流体流动的模拟，例如，不可压缩流体和固体颗粒的混合物的流动，通常在重力和流体动力的作用下移动。 数字方法将依赖于以下基本要素：（1）通过算子分裂的时间离散化，（2）通过特征线法或简化为二阶波动方程的方法处理平流，（3）通过有限元的空间近似，（4）使用分布式拉格朗日乘子/虚拟（嵌入）域方法来定位固体颗粒并迫使其进行刚体运动。要研究的典型非牛顿流体包括麦克斯韦和Oldroyd B。我们在该项目中的目标是开发有效的方法，能够实现三个方面的数值模拟，三维流动的不可压缩的粘性流体的混合物与数百至数千固体颗粒。 这种大规模的模拟具有科学计算的巨大挑战的特点，成功将依赖于在强大的并行计算机上实现的先进计算方法。 有了这些模拟工具，科学界将能够更好地了解化学反应器和裂缝油藏中发生的复杂机制。 在这些研究的结果中，我们可以期待例如改进橡胶材料和药物的制造技术，以及提高石油工业中使用的钻井技术的效率。