Development of CFD Cut-Stencil Technology for Highly Complex Domains

针对高度复杂领域的 CFD 切割模板技术的开发

• 批准号: RGPIN-2016-06768
• 负责人: Barron, Ronald
• 金额: $ 1.89万
• 依托单位: University of Windsor
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2019
• 资助国家: 加拿大
• 起止时间: 2019-01-01 至 2020-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=681443
• 关键词: Development; CFD; Cut; Stencil; Technology

Complex fluid flows exist throughout nature, in biological systems and in man-made devices. Computational Fluid Dynamics (CFD) is one of the tools that engineers use to predict the behaviour of these complex flows. Fluids often interact with other media whose behaviour is governed by other physics. The mathematical modelling of these types of interactions is referred to as multiphysics modelling. The need for user-friendly, reliable, high-fidelity and computationally efficient methodologies and algorithms for multiphysics phenomena has increased as industries continue to rely more heavily on numerical simulation as a tool to improve their product design.***Finite difference methods for the numerical solution of the Navier-Stokes equations were very popular in the early years of CFD development. However, their applicability to flows in complicated and highly irregular domains is severely restricted due to their reliance on structured grid systems. This is the primary reason for the popularity of finite volume solvers, particularly in commercial CFD codes.*******The aim of this research proposal is to develop a unified approach that leads to an innovative, robust Finite Difference methodology for the numerical simulation of multiphysics phenomena that can be applied to arbitrary meshes, regardless of whether the mesh is structured, unstructured or hybrid, or the domain is covered by a cloud of points.****Advantages of having a finite difference solver for such meshes include the fact that they are more efficient than finite volume and finite element methods, are easier to analyze and code, and offer a greater opportunity to achieve high-order accurate solutions with relatively little additional cost.***

复杂的流体流动存在于自然界、生物系统和人造设备中。计算流体动力学（CFD）是工程师用来预测这些复杂流动行为的工具之一。流体经常与其他介质相互作用，其行为受其他物理学的支配。这些类型的相互作用的数学建模被称为多物理场建模。随着工业继续更加依赖数值模拟作为改进产品设计的工具，对用户友好、可靠、高保真和计算效率高的多物理场现象方法和算法的需求也在增加。在CFD发展的早期，数值求解Navier-Stokes方程的有限差分方法非常流行。然而，由于它们依赖于结构化网格系统，它们对复杂和高度不规则域中流动的适用性受到严重限制。这是有限体积求解器流行的主要原因，特别是在商业CFD代码中。本研究提案的目的是开发一种统一的方法，从而产生一种创新的，强大的有限差分方法，用于多物理场现象的数值模拟，可应用于任意网格，无论网格是结构化的，非结构化的还是混合的，或者域被点云覆盖。为这种网格使用有限差分求解器的优点包括它们比有限体积和有限元方法更有效，更容易分析和编码，并且提供了更大的机会以相对较少的额外成本实现高阶精确解。