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相关论文: Topology optimisation for natural convection probl…

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This paper proposes a topology optimization method for non-thermal and thermal fluid problems using the Lattice Kinetic Scheme (LKS).LKS, which is derived from the Lattice Boltzmann Method (LBM), requires only macroscopic values, such as…

数值分析 · 数学 2024-11-06 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

This paper presents a method to stabilise oscillations occurring in a mixed convective flow in a nearly hemispherical cavity, using actuation based on the receptivity map of the unstable mode. This configuration models the continuous…

流体动力学 · 物理学 2025-06-18 Abhishek Kumar , Alban Pothérat

We consider a velocity tracking problem for the Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through a injection-suction device and the flow is allowed to slip against the surface wall. We study the…

偏微分方程分析 · 数学 2017-06-20 Nikolai V. Chemetov , Fernanda Cipriano

We analyze the theoretical framework of a shape optimization problem for a microchannel cooling system. To this end, a cost functional based on the tracking of absorbed energy by the cooler as well as some desired flow on a subdomain of the…

最优化与控制 · 数学 2025-10-14 Sebastian Blauth , Christian Leithäuser , René Pinnau

Topology optimization (TO) is a powerful method to design innovative structures with improved heat transfer performance. In the present study, a multi-fidelity TO method with a delicately defined objective function is developed for flow…

流体动力学 · 物理学 2024-05-24 Yi Yuan , Li Chen , Qirui Yang , Lingran Gu , Wen-Quan Tao

Topology optimization problems generally support multiple local minima, and real-world applications are typically three-dimensional. In previous work [I. P. A. Papadopoulos, P. E. Farrell, and T. M. Surowiec, Computing multiple solutions of…

数值分析 · 数学 2022-11-23 Ioannis P. A. Papadopoulos , Patrick E. Farrell

Mixing is an omnipresent process in a wide-range of industrial applications, which supports scientific efforts to devise techniques for optimising mixing processes under time and energy constraints. In this endeavor, we present a…

流体动力学 · 物理学 2020-06-15 Maximilian F. Eggl , Peter J. Schmid

The work explores a specific scenario for structural computational optimization based on the following elements: (a) a relaxed optimization setting considering the ersatz (bi-material) approximation, (b) a treatment based on a nonsmoothed…

计算工程、金融与科学 · 计算机科学 2021-08-06 J. Oliver , D. Yago , J. Cante , O. Lloberas-Valls

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a structure-preserving and thermodynamically consistent finite…

数值分析 · 数学 2024-09-23 Evan S. Gawlik , François Gay-Balmaz

This paper presents Space-Time MultiGrid (STMG) methods which are suitable for performing topology optimisation of transient heat conduction problems. The proposed methods use a pointwise smoother and uniform Cartesian space-time meshes.…

计算工程、金融与科学 · 计算机科学 2025-05-16 Magnus Appel , Joe Alexandersen

Typical topology optimization methods require complex iterative calculations, which cannot meet the requirements of fast computing applications. The neural network is studied to reduce the time of computing the optimization result, however,…

计算物理 · 物理学 2024-01-12 Ce Guan , Jianyu Zhang , Zhen Li , Yongbo Deng

We investigate interfacial fluid dynamics and heat transfer at nanoscales using an improved diffuse interface approach for liquid-vapor interfaces in non-equilibrium. Conventional Navier-Stokes-Korteweg (NSK) formulations often fail to…

流体动力学 · 物理学 2026-03-11 Rahul Bhattacharjee , Henning Struchtrup , Anirudh Singh Rana

Topology optimization is a powerful tool utilized in various fields for structural design. However, its application has primarily been restricted to static or passively moving objects, mainly focusing on hard materials with limited…

计算工程、金融与科学 · 计算机科学 2023-06-30 Changyoung Yuhn , Yuki Sato , Hiroki Kobayashi , Atsushi Kawamoto , Tsuyoshi Nomura

We investigate a shape optimization problem for a heat-conducting fluid governed by a Boussinesq system. The main goal is to determine an optimal domain shape that yields a temperature distribution as uniform as possible. Initially, we…

偏微分方程分析 · 数学 2025-04-23 Andrea Ceretani , Weiwei Hu , Lin Mu , Carlos Rautenberg

We perform three-dimensional direct numerical simulations of surface-driven convection near the temperature of maximum density $\tilde T_{md}$. A dynamic surface boundary condition couples heat flux through the surface to the induced…

大气与海洋物理 · 物理学 2024-05-08 Jason Olsthoorn

We introduce a topology-preserving discretization for coupling incompressible fluids with thin deformable structures, achieving guaranteed leakproofness through preservation of fluid domain connectivity. Our approach leverages a stitching…

计算物理 · 物理学 2026-02-05 Jonathan Panuelos , Eitan Grinspun , David Levin

In this paper we present a topology optimization technique applicable to a broad range of flow design problems. We propose also a discrete adjoint formulation effective for a wide class of Lattice Boltzmann Methods (LBM). This adjoint…

计算工程、金融与科学 · 计算机科学 2015-01-21 Łukasz Łaniewski-Wołłk , Jacek Rokicki

In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn--Hilliard--Navier--Stokes equations that model the flow of two phases with different densities. The pressure-correction step in the projection…

数值分析 · 数学 2020-11-02 Chen Liu , Deep Ray , Christopher Thiele , Lu Lin , Beatrice Riviere

This paper investigates a modification of the fictitious domain method with continuation in the lower-order coefficients for the unsteady Navier-Stokes equations governing the motion of an incompressible homogeneous fluid in a bounded 2D or…

A mechanical model and finite element method for the simultaneous solution of Stokes and incompressible Navier-Stokes flows on multiple curved surfaces over a bulk domain are proposed. The two-dimensional surfaces are defined implicitly by…

计算工程、金融与科学 · 计算机科学 2025-10-09 Michael Wolfgang Kaiser , Thomas-Peter Fries