Advances in Mesh Generation

在过去二十年中，科学计算已成为所有科学研究方案的重要贡献者。这是特别重要的研究问题的解决方案，无论是无法解决的传统的理论和实验方法，或者是危险的研究在实验室中，耗时或昂贵的传统手段来解决。然而，关键的许多领域的计算是能够代表一个几何和问题域的离散方式。这一重要而关键的步骤是生成合适的计算网格。对于简单的测试问题，生成一个合适的网格是微不足道的，但是，对于大多数实际问题，网格的生成是一个重大的挑战。虽然已经取得了重大进展，它仍然是遇到的主要问题的情况下，当应用计算方法到新的和新兴的科学和工程领域，往往涉及到一个合适的网格的生成。同样值得强调的是，在模拟过程中最常见的故障源通常可以追溯到网格不足，而模拟的准确性在很大程度上取决于网格质量。集团过去的发展已被应用于许多领域的各种问题，包括航空航天，汽车，电子，生物力学，建筑，地理，岩土工程和油藏建模。一个特别成功的应用领域是航空航天工业，其设计要求是精确、快速地分析飞机外形上的流动。集团的一个明确战略是追求应用驱动的非结构化网格技术的使用。应用程序提供的挑战，突出了方法，然后导致基础研究和理论理解，然后将导致增强的capability.The拟议的工作将解决目前限制更广泛地使用计算模拟的许多不足之处的缺陷。特别是，与几何形状相关的问题将得到重视，新的和创新的技术将被调查，为他们的解决方案。此外，将探索生成高质量网格的新方法，以最大限度地提高求解算法的效率。将通过利用计算机技术的最新发展，如全球资源数据库和网络服务，提供这些发展。

Within the past two decades, scientific computing has become an important contributor to all scientific research programmes. It is particularly important for the solution of research problems that are either insoluble by traditional theoretical and experimental approaches or are hazardous to study in the laboratory, time consuming or expensive to solve by traditional means. However, critical to many areas of computation is the ability to represent a geometry and problem domain in a discretised manner. This important and critical step is the generation of a suitable computational mesh. For simple test problems, the generation of a suitable mesh is trivial, but, for most problems of practical interest, the generation of a mesh is a significant challenge. Whilst major progress has been made, it is still the case that the major problems encountered, when applying computational methods to new and emerging areas of science and engineering, often involve the generation of a suitable mesh. It is also worth emphasising that the most common source of failures during a simulation can frequently be traced to an inadequate mesh, while the accuracy of a simulation is highly dependent upon the mesh quality.Past developments within the Group have been applied to a diverse setof problems in many fields, including aerospace, automotive, electronics, biomechanics, construction, geography, geotechnics and oil reservoir modelling. A particularly successful application area has been the aerospace industry, with its design requirement for accurate, rapid analysis of flows over aircraft configurations.A clear strategy of the Group has been to pursue the use of unstructured mesh technology driven by applications. Applications provide the challenges that highlight deficiencies in a method that then leads to basic research and theoretical understanding that will then result in an enhanced capability.The proposed work will address many of the deficiencies that are currently restricting the wider use of computational simulation. In particular, problems associated with geometries will be emphasised and new and innovative techniques will be investigated for their solution. Furthermore, new methods of generating high quality meshes that can maximise the efficiency of solution algorithms will be explored. These developments will be made available through the use of recent developments in computer technology, such as the GRID and web services.