SBIR Phase I: Development of an Accurate and Efficient Radiative Transfer Model in a Body-Fitted Coordinate System

SBIR 第一阶段：在贴体坐标系中开发准确高效的辐射传输模型

• 批准号: 9661586
• 负责人: Jiwen Liu
• 金额: $ 7.5万
• 依托单位: ENGINEERING SCIENCES, INC.
• 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=9661586&HistoricalAwards=false
• 关键词: SBIR; Phase; Development; Accurate; Efficient

*** 9661586 Liu This Small Business Innovation Research Phase I project will develop an accurate and efficient radiative transfer model suitable for any complicated geometry in a body-fitted coordinate (BFC) system. Radiative heat transfer is the dominant heat transfer mode in boilers, furnaces, rocket engines, and other high-temperature combustion systems. Due to different mathematical characteristics, entirely coupled and simultaneous solution of the radiative transfer equation (RTE) and the governing equations for fluid transport has been very difficult for complicated problems. In this proposal, radiative heat transfer will be simulated by the even parity formulation (EPF) of RTE in combination with the discrete ordinates method (DOM). Unlike the conventional RTE, the EPF of the DOM is a second-order differential equation. A central difference scheme and a upwind scheme will be utilized to discretize the discrete ordinates equations spatially and performance from these two schemes will be studied. To investigate the accuracy of the present radiation model in a BFC system, several benchmark problems with irregular geometries will be considered and the solutions from the present model will be compared with other available solutions. Due to the same mathematical structure between the EPF and the governing equations for describing the fluid dynamics, the present radiation model is expected to be very accurate and efficient for problems with complicated geometries. The radiative transfer model to be developed will have the same mathematical structure as the fluid transport equations and they are entirely compatible with each other numerically. This will facilitate simultaneous solution of the RTE and other governing equations in a combustion system. If the present model is successfully proven in Phase I, it will be extended to a 3D in Phase II. Furthermore, it will be implemented into a commercial computational fluid dynamics (CFD) code due to its tremendous advantages .***

* 9661586刘 这个小企业创新研究第一阶段项目将开发一个准确和有效的辐射传输模型，适用于任何复杂的几何形状的贴体坐标系（BFC）。 辐射传热是锅炉、加热炉、火箭发动机和其他高温燃烧系统中的主要传热方式。 由于辐射传输方程和流体输运控制方程的数学特性不同，对于复杂的问题，完全耦合求解是非常困难的。 在该提案中，辐射传热将通过RTE的偶宇称公式（EPF）结合离散坐标法（DOM）来模拟。与传统的RTE不同，DOM的EPF是一个二阶微分方程。 中心差分格式和迎风格式将被用来离散的离散纵坐标方程的空间和性能从这两个计划将进行研究。 为了研究BFC系统中本辐射模型的准确性，将考虑几个具有不规则几何形状的基准问题，并将本模型的解决方案与其他可用的解决方案进行比较。 由于EPF和用于描述流体动力学的控制方程之间具有相同的数学结构，因此本辐射模型对于具有复杂几何形状的问题是非常准确和有效的。 将开发的辐射传输模型将具有与流体传输方程相同的数学结构，并且它们在数值上完全兼容。 这将有助于同时解决RTE和燃烧系统中的其他控制方程。 如果目前的模型在第一阶段得到成功验证，它将在第二阶段扩展到3D。 此外，由于其巨大的优势，它将被实现为商业计算流体动力学（CFD）代码。