Curvature-dependent area preserving immersed boundary method for binary immiscible fluids

IF 3.4 3区工程技术 Q2 MECHANICS

Theoretical and Computational Fluid Dynamics Pub Date : 2026-02-12 DOI:10.1007/s00162-026-00778-0

Haobo Hua, Pu Han, Seunggyu Lee, Huan Han, Hyundong Kim, Junseok Kim

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Abstract

We propose an immersed boundary method (IBM) with a curvature-dependent, area-preserving correction algorithm for binary immiscible incompressible fluid flows. The IBM was first proposed to solve biofluid dynamics in complex geometries, and researchers later used it for multiphase fluid flows due to its direct and simple representation of complex interfaces. In this method, two types of grids are needed: an Eulerian formulation for the computation of fluid flow and a Lagrangian representation for the movement of the immersed boundary. If the conventional method is used, area loss or area increases occur due to numerical discretization errors. In the proposed correction method, the positions of the Lagrangian interface points are adjusted along the normal direction in proportion to the local curvature. Numerical examples of droplet deformation under various flow conditions show that the proposed algorithm can discretely preserve the initial area while the interface undergoes large deformation.

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二元非混相流体的曲率相关保面积浸入边界法

本文提出了一种具有曲率相关、面积保持校正算法的浸入边界法（IBM）。IBM最初被提出用于解决复杂几何形状的生物流体动力学问题，由于其对复杂界面的直接和简单表示，研究人员后来将其用于多相流体流动。在这种方法中，需要两种类型的网格：计算流体流动的欧拉公式和计算浸入边界运动的拉格朗日表示。如果采用常规方法，由于数值离散误差，会造成面积损失或面积增加。在本文提出的修正方法中，拉格朗日界面点的位置按局部曲率的比例沿法线方向调整。不同流动条件下液滴变形的数值算例表明，该算法可以在界面发生较大变形时离散地保持初始面积。

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来源期刊

Theoretical and Computational Fluid Dynamics 物理-力学

CiteScore

5.80

自引率

2.90%

发文量

审稿时长

>12 weeks

期刊介绍： Theoretical and Computational Fluid Dynamics provides a forum for the cross fertilization of ideas, tools and techniques across all disciplines in which fluid flow plays a role. The focus is on aspects of fluid dynamics where theory and computation are used to provide insights and data upon which solid physical understanding is revealed. We seek research papers, invited review articles, brief communications, letters and comments addressing flow phenomena of relevance to aeronautical, geophysical, environmental, material, mechanical and life sciences. Papers of a purely algorithmic, experimental or engineering application nature, and papers without significant new physical insights, are outside the scope of this journal. For computational work, authors are responsible for ensuring that any artifacts of discretization and/or implementation are sufficiently controlled such that the numerical results unambiguously support the conclusions drawn. Where appropriate, and to the extent possible, such papers should either include or reference supporting documentation in the form of verification and validation studies.