Numerical techniques for the simulation of complex biomechanical processes

模拟复杂生物力学过程的数值技术

• 批准号: 189200616
• 负责人: Professor Dr.-Ing. Udo Nackenhorst
• 金额: --
• 依托单位: Institut für Baumechanik und Numerische Mechanik (IBNM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/189200616?language=en
• 关键词: Numerical; techniques; simulation; complex; biomechanical

The aim of this project is the research of numerical methods based on an adaptive time-discontinuous Finite Element method for the reliable, robust and efficient computation of nonlinear coupled advection-diffusion-reaction equations.These methods will be tested by application to the complex processes of bone fracture healing. Simultaneously, the model will be enhanced on basis of obtained simulation results. While time-discontinuous Galerkin methods were successfully applied for the monolithic computation of the coupled hyperbolic problem and FIC methods were used for the necessary stabilization of advection-dominated processes in the first phase, adaptively controlled computation techniques based on the gained experiences are to be developed during the second period. Therefore, local enrichments of shape functions (XFEM) based on suitable error indicators are to be designed and tested by application to a model of bone fracture healing.

本课题的目的是研究基于自适应时不连续有限元法的可靠、鲁棒和高效的非线性耦合平流-扩散-反应方程的数值计算方法。这些方法将通过应用于骨折愈合的复杂过程进行测试。同时，根据得到的仿真结果对模型进行增强。时间不连续Galerkin方法成功地应用于耦合双曲问题的整体计算，FIC方法在第一阶段用于平流主导过程的必要稳定，第二阶段将发展基于经验的自适应控制计算技术。因此，基于合适的误差指标设计形状函数的局部富集（XFEM），并将其应用于骨折愈合模型进行测试。

项目成果

A combined FIC‐TDG finite element approach for the numerical solution of coupled advection–diffusion–reaction equations with application to a bioregulatory model for bone fracture healing

结合 FICâTDG 有限元方法对耦合平流扩散反应方程进行数值求解并应用于骨折愈合的生物调节模型

• DOI: 10.1002/nme.4338
• 发表时间: 2012
• 期刊: International Journal for Numerical Methods in Engineering
• 影响因子: 2.9
• 作者: Sapotnick A;Nackenhorst U.
• 通讯作者: Nackenhorst U.