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: 2020
• 资助国家: 加拿大
• 起止时间: 2020-01-01 至 2021-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=710392
• 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.

复杂的流体流在整个自然界，生物系统和人造设备中存在。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。流体经常与其他由其他物理学支配的媒体相互作用。这些类型的相互作用的数学建模称为多物理模型。随着行业继续严重依赖数值模拟作为改善产品设计的工具，对多物理现象的用户友好，可靠，高保真和计算有效的方法和算法的需求不断增加。 Navier-Stokes方程的数值解的有限差方法在CFD开发的早期非常流行。但是，由于它们依赖结构化的网格系统，因此它们适用于复杂且高度不规则的域流动受到严重限制。这是有限量求解器的普及的主要原因，尤其是在商业CFD代码中。 这项研究建议的目的是开发一种统一的方法，该方法可为多物理现象的数值模拟提供创新的，可靠的有限差异方法，无论网格是结构化的，非结构化的还是混合的，或者域是由点覆盖的。 对于此类网格来说，拥有有限差求解器的优点包括它们比有限量和有限元方法更有效，更易于分析和编码，并提供更大的机会来实现高阶准确解决方案，而额外的成本相对较少。