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A Parallel High-Order Fictitious Domain Approach for Biomechanical Applications

机译:一种平行的生物力学应用域方法

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The focus of this contribution is on the parallelization of the Finite Cell Method (FCM) applied for biomechanical simulations of human femur bones. The FCM is a high-order fictitious domain method that combines the simplicity of Cartesian grids with the beneficial properties of hierarchical approximation bases of higher order for an increased accuracy and reliablility of the simulation model. A pre-computation scheme for the numerically expensive parts of the finite cell model is presented that shifts a significant part of the analysis update to a setup phase of the simulation, thus increasing the update rate of linear analyses with time-varying geometry properties to a range that even allows user interactive simulations of high quality. Paralellization of both parts, the pre-computation of the model stiffness and the update phase of the simulation is simplified due to a simple and undeformed cell structure of the computation domain. A shared memory parallelized implementation of the method is presented and its performance is tested for a biomedical application of clinical relevance to demonstrate the applicability of the presented method.
机译:该贡献的重点是应用于用于人股骨骨骼的生物力学模拟的有限细胞方法(FCM)的平行化。 FCM是一种高阶虚构的域方法,将笛卡尔网格的简单性与高阶的等级近似基础的有益特性相结合,以增加模拟模型的准确性和可靠性。提出了用于数值昂贵的部分的数值昂贵部分的预计算方案,其将分析更新的重要部分移位到模拟的设置阶段,从而提高了线性分析的更新速率与时变几何属性到a范围甚至允许用户交互式模拟高质量。由于计算域的简单和未变形的小区结构,简化了两部分的预算,模型刚度和模拟的更新阶段的预算。提出了该方法的共享内存并行实施,并测试其性能以进行临床相关性的生物医学应用,以证明所提出的方法的适用性。

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