SBIR Phase I: An Automated Adaptive Cartesian/Prism Grid Flow Simulation Methodology for Arbitrary Moving Boundary Problems

SBIR 第一阶段：任意移动边界问题的自动自适应笛卡尔/棱柱网格流仿真方法

• 批准号: 9660943
• 负责人: Z.J. Wang
• 金额: $ 7.5万
• 依托单位: CFD RESEARCH CORPORATION
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-01-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9660943&HistoricalAwards=false
• 关键词: SBIR; Phase; Automated; Adaptive; Cartesian

*** 9660943 Wang This Small Business Innovation Research Phase I project will develop a new scientific-computation methodology for arbitrary moving-boundary problems. In the immediate vicinity of boundaries adaptive prism grids will be used in order to exploit their ability to provide surface-conformal spatial discretization, enabling accurate and efficient computational resolution of viscous and thermal boundary layers. These grids will move and deform with the boundaries around which they are built. Away from boundaries, a stationary, adaptive Octree-based Cartesian grid will be used to exploit its efficiency and flexibility. The Cartesian grid will be overlapped with the moving and deforming prism grids. Both types of grid will be adapted according to the physics of the unsteady flow field. For the coupling between the two grids, both conservative (expensive) and non-conservative (efficient) interfacing algorithms will be developed and demonstrated in the Phase I research. A second order flow solver based on a recently-developed all-speed flux splitting method capable of handing dynamic grids will be implemented, enabling highly-resolved solution of both incompressible and compressible flows. The unsteady flow fields will be displayed as they develop, through an on-line visualization capability. The overall system seamlessly integrates grid generation, flow solver, grid adaptation and post-processing to obtain maximum solution accuracy, efficiency and user friendliness. In Phase I, the methodology will be implemented and demonstrated in two dimensions. Extension to three-dimensions will be made in Phase II. The accurate modeling of flow phenomena involving moving boundaries is the key to a understanding, to improvement of performance, and to the cost-effective, rapid investigation of new designs. If successfully demonstrated in Phase I, the methodology will provide a reliable, computationally-efficient design and analysis tool that will have an immediate and far-reaching scient ific and economic impact in many distinct industries such as materials processing, aerospace engineering, and bioengineering. ***

* 9660943 Wang 这个小企业创新研究第一阶段项目将为任意移动边界问题开发一种新的科学计算方法。 在边界附近，将使用自适应棱柱网格，以利用其提供表面共形空间离散化的能力，从而实现粘性和热边界层的准确和有效的计算分辨率。 这些网格将随着它们所围绕的边界移动和变形。远离边界，一个固定的，自适应的八叉树为基础的笛卡尔网格将被用来利用其效率和灵活性。笛卡尔网格将与移动和变形的棱柱网格重叠。这两种类型的网格将根据非定常流场的物理特性进行调整。对于两个网格之间的耦合，保守（昂贵）和非保守（有效）接口算法将在第一阶段研究中开发和演示。二阶流动求解器的基础上，最近开发的全速通量分裂方法能够处理动态网格将被实施，使不可压缩和可压缩流的高分辨率的解决方案。非定常流场将通过在线可视化功能显示。整个系统无缝集成了网格生成、流场求解、网格自适应和后处理，以获得最高的解算精度、效率和用户友好性。 在第一阶段，该方法将在两个方面得到实施和证明。 第二阶段将扩展到三维。 涉及移动边界的流动现象的精确建模是理解、改进性能和快速研究新设计的成本效益的关键。 如果在第一阶段得到成功验证，该方法将提供一个可靠的，计算效率高的设计和分析工具，将在许多不同的行业（如材料加工，航空航天工程和生物工程）中产生直接和深远的科学和经济影响。 ***