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Accurate prediction of aerothermal loads in hypersonic flows is critical yet challenging due to the coupling of Shock-Wave/Boundary-Layer Interactions (SBLI) and thermal non-equilibrium. This work presents the development of a…

流体动力学 · 物理学 2026-02-10 Xingjian Gao , Hualin Liu , Fengxiang Zhao , Xing Ji

This paper is concerned with topology optimization based on a level set method using (doubly) nonlinear diffusion equations. Topology optimization using the level set method is called level set-based topology optimization, which is possible…

最优化与控制 · 数学 2023-03-22 Tomoyuki Oka , Takayuki Yamada

This paper presents a topology optimization approach for surface flows, which can represent the viscous and incompressible fluidic motions at the solid/liquid and liquid/vapor interfaces. The fluidic motions on such material interfaces can…

计算物理 · 物理学 2020-05-18 Yongbo Deng , Weihong Zhang , Jihong Zhu , Junqiang Bai , Zhenyu Liu , Jan G. Korvink

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

偏微分方程分析 · 数学 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

计算工程、金融与科学 · 计算机科学 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

In this paper, we present a new model for heat transfer in compressible fluid flows. The model is derived from Hamilton's principle of stationary action in Eulerian coordinates, in a setting where the entropy conservation is recovered as an…

偏微分方程分析 · 数学 2024-08-13 Firas Dhaouadi , Sergey Gavrilyuk

In this paper, the energy non-conservation problem of the hybrid thermal LB phase change model is emphasized. To solve this problem, an infinite volume discrete scheme is introduced to deal with the diffusion term in the energy equation.…

流体动力学 · 物理学 2018-12-27 Anjie Hu , Dong Liu

This study investigates one of the possible approaches of improvement of heat exchangers efficiency. Literature review shows that most approaches of improvement are based on the heat transfer surface increasing and laminar-to-turbulent flow…

应用物理 · 物理学 2018-03-28 Alexey Andrianov , Alexander Ustinov , Dmitry Loginov

We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the incompressible Navier-Stokes\slash Stokes equations with the…

计算物理 · 物理学 2020-07-15 Quan Zhao , Weiqing Ren

We derive a novel thermodynamically consistent Navier--Stokes--Cahn--Hilliard system with dynamic boundary conditions. This model describes the motion of viscous incompressible binary fluids with different densities. In contrast to previous…

偏微分方程分析 · 数学 2023-10-25 Andrea Giorgini , Patrik Knopf

In spite of its overall efficiency and robustness for capturing the interface in multiphase fluid dynamics simulations, the well-known shortcoming of the level-set method is associated with the lack of a systematic approach for preserving…

流体动力学 · 物理学 2023-09-22 A. Hashemi , M. R. Hashemi , P. Ryzhakov , R. Rossi

We investigate the two-dimensional transport of heat through viscous flow between two parallel rough interfaces with a given fractal geometry. The flow and heat transport equations are solved through direct numerical simulations, and for…

统计力学 · 物理学 2009-11-10 J. S. Andrade , E. A. Henrique , M. P. Almeida , M. H. A. S. Costa

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

流体动力学 · 物理学 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

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

A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat…

计算工程、金融与科学 · 计算机科学 2022-01-19 Takao Miki , Shinji Nishiwaki

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

最优化与控制 · 数学 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

In this note, we formulate and study a Hamilton-Jacobi approach for describing thermodynamic transformations. The thermodynamic phase space assumes the structure of a contact manifold with the points representing equilibrium states being…

数学物理 · 物理学 2023-05-16 Aritra Ghosh

Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of…

数值分析 · 计算机科学 2010-10-13 Petr N. Vabishchevich

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…

最优化与控制 · 数学 2017-01-24 Matthew Lawry , Kurt Maute

This work focuses on determining the coefficient of thermal diffusivity in a one-dimensional heat transfer process along a homogeneous and isotropic bar, embedded in a moving fluid with heat generation. A first type (Dirichlet) condition is…

流体动力学 · 物理学 2022-01-03 Guillermo Federico Umbricht , Diana Rubio