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从流固耦合系统的整体控制方程出发,推导出与流体控制方程一致的耦合等价方程,并得到基于耦合方程的压力泊松方程,通过求解耦合系统压力泊松方程和一致的等价方程就能获得耦合系统的解,而不需要直接求解整体耦合系统的控制方程,有利于降低求解自由度。预估-校正多步迭代格式用于耦合系统的时间推进,克服了传统迭代耦合方法由于时间不同步而产生较大数值误差的不足。应用该方法对附带局部突起的主动脉弓动脉瘤进行流固耦合分析,验证数值方法的可行性。
Based on the overall control equations of the fluid-structure interaction system, the coupled equivalent equations are derived which are consistent with the fluid control equations. The pressure-Poisson equations based on the coupled equations are obtained. By solving the pressure-Poisson equations and the consistent equivalent equations Can obtain the solution of the coupled system without directly solving the governing equations of the overall coupled system, which is beneficial to reduce the freedom of solution. Predictor-corrector multistep iteration format is used for the time advancement of the coupled system, which overcomes the shortcomings of the traditional iterative coupling method in generating large numerical errors due to the time synchronization. This method was used to analyze the fluid-structure interaction of aortic arch aneurysm with local protrusion to verify the feasibility of the numerical method.