Fast implicit direct-forcing immersed boundary method (FIDF-IBM)

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-07-02 DOI:10.1016/j.enganabound.2025.106345

Elias Farah , Abdellatif Ouahsine , Patrick Verdin

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引用次数: 0

Abstract

A fast implicit direct-forcing immersed boundary method (FIDF-IBM) is introduced for the simulation of incompressible flows over arbitrarily moving solid structures. This method leverages the operator splitting approach of the pressure implicit with splitting of operators (PISO) algorithm to decouple the pressure, velocity, and boundary force in the solution process. This maintains the no-slip/no-penetration (ns/np) boundary constraint and enforces the divergence-free condition in a segregated manner in the solid and fluid domains, respectively. The proposed scheme produces a modified pressure Poisson equation (PPE) that includes the boundary force already satisfying the ns/np boundary constraint, allowing the usage of fast iterative PPE solvers. The term “fast direct-forcing” is achieved by coupling Lagrangian weight methods that enhance the reciprocity of the IBM-related linear operators with the IBM implicit formulation. Additionally, an appropriate boundary force inheritance from previous time-steps further boosts the performance of the implicit DF-IBM algorithm. The method’s efficiency and capability are verified through different stationary and moving immersed boundary benchmark tests.

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快速隐式直接强迫浸入边界法（FIDF-IBM）

介绍了一种快速隐式直接强迫浸入边界法（FIDF-IBM），用于模拟任意移动固体结构上的不可压缩流动。该方法利用PISO （split of operators）算法的压力隐式算子分裂方法来解耦求解过程中的压力、速度和边界力。这保持了无滑移/无穿透（ns/np）的边界约束，并分别在固体和流体领域以分离的方式强制执行无散度条件。提出的方案产生了一个修正的压力泊松方程（PPE），其中包括已经满足ns/np边界约束的边界力，允许使用快速迭代PPE求解器。术语“快速直接强制”是通过耦合拉格朗日加权方法实现的，该方法增强了IBM相关线性算子与IBM隐式公式的互易性。此外，从先前的时间步长继承适当的边界力进一步提高了隐式DF-IBM算法的性能。通过不同的静、动浸入边界基准测试，验证了该方法的有效性和性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.