Improvements to Unstructured Mesh Finite Volume Methods for CFD: Novel Adaptive Techniques and Improved Robustness

随着计算机能力的增长，使用计算流体动力学（CFD）模拟的问题的复杂性也迅速增长。还更加强调量化模拟结果的准确性。 用于此任务的现有技术通常具有过大的计算资源需求。*解决这一需求需要一个新的范例，其中具有自适应和误差量化功能的鲁棒流量求解器可以可靠地产生具有已知误差范围的解决方案，并且只需最少的人为干预。 该项目将在与现代商业CFD求解器中采用的二阶非结构网格有限体积法兼容的统一框架中，对新技术进行原型设计，用于自动自适应改进流场解，并提高稳定性和鲁棒性。 我们预计，这些进步可以开始部署在目前的商业CFD求解器在两到五年内。 我们还将与ANSYS Canada合作，评估在我们之前的合作项目中开发的新算法与其现有商业流量求解器的结合使用。虽然目前的工作将集中在二阶方法上，但我们预计更精确的有限体积方法将迁移到商业CFD求解器中，我们将计划在五到十年的时间范围内为高阶方法提供适应性和鲁棒性改进的明确升级路径。这些进步将为我们在该项目中的工业合作伙伴ANSYS Canada提供重要的竞争优势，因为其软件将是第一个提供这些功能的供应商。反过来，他们的加拿大客户将受益于提高模拟结果的准确性和信心，并提高工程师使用CFD的生产力。

As computer power has grown, the complexity of problems simulated using computational fluid dynamics (CFD) has grown apace. Greater emphasis is also being placed on quantifying the accuracy of simulation results. Existing techniques for this task often have prohibitively large computational resource requirements.****Addressing this need requires a new paradigm in which a robust flow solver with adaptive and error quantification capabilities reliably produces solutions with known error bounds with minimal human intervention. This project will prototype new techniques for automatic adaptive improvement of flow solutions and for improvement of stability and robustness in a unified framework compatible with the second-order unstructured mesh finite volume methods employed in modern commercial CFD solvers. We expect that these advances can begin to be deployed in current commercial CFD solvers within two to five years. We will also work with ANSYS Canada to assess the use of new algorithms developed in our previous collaborative project in combination with their existing commercial flow solver. While the present work will focus on second-order methods, we expect that more accurate finite volume methods will migrate into commercial CFD solvers, and we will plan for a clear upgrade path to providing adaptation and robustness improvements for high order methods in the five to ten year time frame.****These advances will provide an important competitive advantage to our industrial partner in this project, ANSYS Canada, as the vendor whose software will be the first to provide these capabilities. In turn, their Canadian customers will benefit through improved accuracy of and confidence in simulation results and increased productivity of engineers using CFD.**