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首页> 外文会议>IFIP TC 7 conference on system modeling and optimization >Reduction Strategies for Shape Dependent Inverse Problems in Haemodynamics
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Reduction Strategies for Shape Dependent Inverse Problems in Haemodynamics

机译：血液动力学中与形状有关的逆问题的归约策略

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摘要

This work deals with the development and application of reduction strategies for real-time and many query problems arising in fluid dynamics, such as shape optimization, shape registration (reconstruction), and shape parametrization. The proposed strategy is based on the coupling between reduced basis methods for the reduction of computational complexity and suitable shape parametrizations - such as free-form deformations or radial basis functions - for low-dimensional geometrical description. Our focus is on problems arising in haemodynamics: efficient shape parametrization of cardiovascular geometries (e.g. bypass grafts, carotid artery bifurcation, stenosed artery sections) for the rapid blood flow simulation - and related output evaluation - in domains of variable shape (e.g. vessels in presence of growing stenosis) provide an example of a class of problems which can be recast in the real-time or in the many-query context.
机译：这项工作涉及用于流体动力学的实时和许多查询问题的归约策略的开发和应用，例如形状优化，形状配准（重构）和形状参数化。所提出的策略基于减少计算复杂度的简化基础方法与用于低维几何描述的合适形状参数（例如自由形式的变形或径向基础函数）之间的耦合。我们的重点是血液动力学方面的问题：心血管几何形状（例如旁路移植物，颈动脉分叉，狭窄的动脉段）的有效形状参数化，用于快速血流仿真-以及相关的输出评估-可变形状的领域（例如存在血管的情况）狭窄问题）提供了一类问题的示例，可以实时或在多查询环境中进行重铸。

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