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Related papers: Topology optimization of unsaturated flows in mult…

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Topology optimization (TopOpt) is a mathematical-driven design procedure to realize optimal material architectures. This procedure is often used to automate the design of devices involving flow through porous media, such as micro-fluidic…

Numerical Analysis · Mathematics 2021-06-01 T. Phatak , K. B. Nakshatrala

Recent studies have advocated using the total dissipation rate under topology optimization to realize material designs involving the flow of fluids through porous media. However, these studies decided how to pose the design problem, such as…

Numerical Analysis · Mathematics 2022-02-16 K. B. Nakshatrala

Permitting multiple materials within a topology optimization setting increases the search space of the technique, which facilitates obtaining high-performing and efficient optimized designs. Structures with multiple materials involving…

Computational Engineering, Finance, and Science · Computer Science 2023-05-16 Prabhat kumar

Compliant mechanisms actuated by pneumatic loads are receiving increasing attention due to their direct applicability as soft robots that perform tasks using their flexible bodies. Using multiple materials to build them can further improve…

Computational Engineering, Finance, and Science · Computer Science 2023-10-17 Prabhat Kumar , Josh Pinskier , David Howard , Matthijs Langelaar

This paper treats topology optimization of natural convection problems. A simplified model is suggested to describe the flow of an incompressible fluid in steady state conditions, similar to Darcy's law for fluid flow in porous media. The…

Computational Engineering, Finance, and Science · Computer Science 2019-12-02 Nicolo Pollini , Ole Sigmund , Casper Schousboe Andreasen , Joe Alexandersen

In this work we consider the transport of a surfactant in a variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three linearization…

Numerical Analysis · Mathematics 2020-12-23 Davide Illiano , Iuliu Sorin Pop , Florin Adrian Radu

Topology optimization offers optimal material layouts, enabling automation in the design of devices. Given the recent advances in computer technology and additive manufacturing, topology optimization is increasingly being used to design…

Fluid Dynamics · Physics 2021-07-28 T. Phatak , K. B. Nakshatrala

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…

Computational Physics · Physics 2020-05-18 Yongbo Deng , Weihong Zhang , Jihong Zhu , Junqiang Bai , Zhenyu Liu , Jan G. Korvink

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

In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow is governed by Richards' equation. The submodels are…

Numerical Analysis · Mathematics 2024-11-01 Florian List , Kundan Kumar , Iuliu Sorin Pop , Florin A. Radu

We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flow model component builds on the Richards equation, modified…

Numerical Analysis · Mathematics 2021-01-01 Davide Illiano , Jakub Wiktor Both , Iuliu Sorin Pop , Florin Adrian Radu

This paper presents a topology optimization framework for structural problems subjected to transient loading. The mechanical model assumes a linear elastic isotropic material, infinitesimal strains, and a dynamic response. The optimization…

Classical Physics · Physics 2017-05-05 Reza Behrou , James K. Guest

Imbibition, the displacement of a nonwetting fluid by a wetting fluid, plays a central role in diverse energy, environmental, and industrial processes. While this process is typically studied in homogeneous porous media with uniform…

Fluid Dynamics · Physics 2022-06-07 Nancy B. Lu , Daniel B. Amchin , Sujit S. Datta

Mathematical modeling of fluid flow in a porous medium is usually described by a continuity equation and a chosen constitutive law. The latter, depending on the problem at hand, may be a nonlinear relation between the fluid's pressure…

Numerical Analysis · Mathematics 2023-01-04 Alessio Fumagalli , Francesco Saverio Patacchini

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

This paper presents the numerical solution of immiscible two-phase flows in porous media, obtained by a first-order finite element method equipped with mass-lumping and flux up-winding. The unknowns are the physical phase pressure and phase…

Numerical Analysis · Mathematics 2021-11-24 M. S. Joshaghani , V. Girault , B. Riviere

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

The displacement of multiphase fluid flow in a pore doublet is a fundamental problem, and is also of importance in understanding of the transport mechanisms of multiphase flows in the porous media. During the displacement of immiscible…

Fluid Dynamics · Physics 2023-06-14 Fang Shan , Zhenhua Chai , Baochang Shi , Meng Zhao

A sensitive porosity adjoint method (SPAM) for optimizing the topology of fluid machines has been proposed. A sensitivity function with respect to the porosity has been developed. In the first step of the optimization process, porous media…

Fluid Dynamics · Physics 2015-12-29 B. Philippi , Y. Jin

The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial configuration in terms of the equilibrium equation and the…

Numerical Analysis · Mathematics 2018-01-17 Eduard Rohan , Vladimír Lukeš
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