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In this paper we present approaches that address two issues that can occur when the level-set method is used to simulate two-fluid flows in engineering practice. The first issue concerns regularizing the Heaviside function on arbitrary…

Numerical Analysis · Mathematics 2018-02-02 Ido Akkerman

In this paper a numerical methodology for surface tension modeling is presented, with an emphasis on the implementation in the OpenFOAM framework. The methodology relies on a combination of (i) a well-balanced approach based on the Ghost…

Computational Engineering, Finance, and Science · Computer Science 2020-05-13 Abd Essamade Saufi , Olivier Desjardins , Alberto Cuoci

We present a B\'ezier-based Multi-Fidelity Thermal Optimization Framework, which is a computationally efficient methodology for the global optimization of 3D heat sinks. The flexible B\'ezier-parameterized fin geometries and the adopted…

Computational Engineering, Finance, and Science · Computer Science 2025-11-05 Morteza Sadeghi , Hadi Keramati , Sajjad Bigham

We propose a method to modify a polygonal mesh in order to fit the zero-isoline of a level set function by extending a standard body-fitted strategy to a tessellation with arbitrarily-shaped elements. The novel level set-fitted approach, in…

Computational Engineering, Finance, and Science · Computer Science 2023-11-03 Nicola Ferro , Stefano Micheletti , Nicola Parolini , Simona Perotto , Marco Verani , Paola Francesca Antonietti

We present a novel shape-approximating anisotropic re-meshing algorithm as a geometric generalization of the adaptive moving mesh method. Conventional moving mesh methods reduce the interpolation error of a mesh that discretizes a given…

Computational Geometry · Computer Science 2023-06-21 Nicolas Nebel , Albert Chern

In this paper, we propose an iterative convolution-thresholding method (ICTM) based on prediction-correction for solving the topology optimization problem in steady-state heat transfer equations. The problem is formulated as a constrained…

Numerical Analysis · Mathematics 2024-01-03 Huangxin Chen , Piaopiao Dong , Dong Wang , Xiao-Ping Wang

Multi-modal salient object detection (MSOD) aims to boost saliency detection performance by integrating visible sources with depth or thermal infrared ones. Existing methods generally design different fusion schemes to handle certain issues…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Kunpeng Wang , Zhengzheng Tu , Chenglong Li , Cheng Zhang , Bin Luo

We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation along initially aligned curved boundaries and internal…

Numerical Analysis · Mathematics 2021-05-27 Patrick Knupp , Tzanio Kolev , Ketan Mittal , Vladimir Z. Tomov

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

Flexible intelligent metasurface (FIM) has recently received considerable interest due to its advantage in realizing a better channel condition by dynamically morphing its surface shape. An FIM consists of multiple elements deposited on a…

Information Theory · Computer Science 2026-04-01 Jinyue Jiang , Jiancheng An , Lu Gan , Naofal Al-Dhahir , Arumugam Nallanathan , Zhu Han

A range of optimization cases of two-dimensional Stefan problems, solved using a tracking-type cost-functional, is presented. A level set method is used to capture the interface between the liquid and solid phases and an immersed boundary…

Mathematical Physics · Physics 2023-01-25 Tomas Fullana , Vincent Le Chenadec , Taraneh Sayadi

With the increasing power density of electronics components, the heat dissipation capacity of heat sinks gradually becomes a bottleneck. Many structural optimization methods, including topology optimization, have been widely used for heat…

Fluid Dynamics · Physics 2021-10-07 Tao Zeng , Hu Wang , Mengzhu Yang , Joe Alexandersen

Multiscale mixed methods based on non-overlapping domain decompositions can efficiently handle the solution of significant subsurface flow problems in very heterogeneous formations of interest to the industry, especially when implemented on…

Numerical Analysis · Mathematics 2025-02-25 Dilong Zhou , Rafael Guiraldello , Felipe Pereira

Uniform flow distribution across parallel channels directly impacts the performance and efficiency of many fluid and energy systems. However, designing efficient flow manifolds that ensure uniform flow distribution remains a challenge. This…

Fluid Dynamics · Physics 2025-10-06 Sanjay Vermani , Nitish Anand

We introduce and analyze a lower envelope method (LEM) for the tracking of interfaces motion in multiphase problems. The main idea of the method is to define the phases as the regions where the lower envelope of a set of functions coincides…

Numerical Analysis · Mathematics 2021-12-07 Antoine Laurain

We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an…

Numerical Analysis · Mathematics 2025-03-18 Liang Fang , Xiandong Liu , Lei Zhang

This paper presents an adaptive discretization strategy for level set topology optimization of structures based on hierarchical B-splines. This work focuses on the influence of the discretization approach and the adaptation strategy on the…

Numerical Analysis · Mathematics 2019-09-25 L. Noel , M. Schmidt , C. Messe , J. A. Evans , K. Maute

When the variations of surface temperature are measured both spatially and temporally, analytical expressions that correctly account for multi-dimensional transient conduction can be applied. To enhance the accessibility of these accurate…

Instrumentation and Detectors · Physics 2024-12-03 David Buttsworth , Timothy Buttsworth

Density-based topology optimization methods such as SIMP enable efficient topological exploration but produce diffuse material boundaries that require interpretation before manufacturing. Level-set methods maintain sharp interfaces but are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-07 Ondřej Ježek , Ján Kopačka , Martin Isoz , Dušan Gabriel

Multiphase flows are an important class of fluid flow and their study facilitates the development of diverse applications in industrial, natural, and biomedical systems. We consider a model that uses a continuum description of both phases…

Fluid Dynamics · Physics 2025-08-04 Bindi M. Nagda , Aaron Barrett , Boyce E. Griffith , Aaron L. Fogelson , Jian Du