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Topology optimization in fluid mechanics using continuous adjoint and the cut-cell method

Computers & Mathematics with Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panayiotis Yiannis Vrionis   +2 more
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The development of a Cartesian cut cell method for incompressible viscous flows

International Journal for Numerical Methods in Fluids, 2006
AbstractThis paper describes the extension of the Cartesian cut cell method to applications involving unsteady incompressible viscous fluid flow. The underlying scheme is based on the solution of the full Navier–Stokes equations for a variable density fluid system using the artificial compressibility technique together with a Jameson‐type dual time ...
Gao, Feng   +3 more
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An extended cut-cell method for sub-grid liquids tracking with surface tension

ACM Transactions on Graphics, 2020
Simulating liquid phenomena utilizing Eulerian frameworks is challenging, since highly energetic flows often induce severe topological changes, creating thin and complex liquid surfaces. Thus, capturing structures that are small relative to the grid size become intractable, since continually increasing the resolution will scale sub-optimally due to the
Yi-Lu Chen   +3 more
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A posteriori error analysis for a cut cell finite volume method

Computer Methods in Applied Mechanics and Engineering, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estep, Don   +3 more
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A Cut Cell Discontinuous Galerkin Method for Particulate Flows

2019
Heutzutage sind zahlreiche Phänomene von Partikelströmungen noch immer nicht vollständig verstanden. Dazu trägt ein Mangel von hochgenauen und effizienten Lösern bei, speziell für Partikel mit beliebiger Gemoetrie. Das diskontinuierliche Galerkin-Verfahren ermöglicht durch seine hohe Konvergenzordnung sowohl höchste Genauigkeit als auch effiziente ...
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A cut‐cell non‐conforming Cartesian mesh method for compressible and incompressible flow

International Journal for Numerical Methods in Engineering, 2007
AbstractThis paper details a multigrid‐accelerated cut‐cell non‐conforming Cartesian mesh methodology for the modelling of inviscid compressible and incompressible flow. This is done via a single equation set that describes sub‐, trans‐, and supersonic flows.
Pattinson, J.   +2 more
openaire   +1 more source

A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods

Advances in Applied Mathematics and Mechanics, 2017
Summary: A new sharp interface method with the combination of Ghost Fluid Method (GFM) and Cut Cell scheme is developed to study compressible multi-phase flows with clear interfaces. Straight-line cutting is applied on the cells passed by the interface. A new real-ghost mixing method is presented and applied around the cut cells to deal with very small
Bai, Xiao, Deng, Xiaolong
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A robust cut-cell method for fluid-structure interaction on adaptive meshes

21st AIAA Computational Fluid Dynamics Conference, 2013
A new cut-cell method to simulate the interaction of a viscous fluid with rigid boundaries is presented. The method is based on a strictly conservative Cartesian cut-cell scheme and accounts accurately for the fluid forces exerted on the solid boundaries.
Lennart Schneiders   +2 more
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A robust cut‐cell finite element method for Poisson's equation in three dimensions

International Journal for Numerical Methods in Engineering
SummaryThis article documents a cut‐cell finite element method for solving Poisson's equation in smooth three‐dimensional domains using a uniform, Cartesian axis‐aligned grid. Neumann boundary conditions are imposed weakly by way of a Delaunay triangulation, while Dirichlet boundary conditions are imposed strongly using a projection method.
Donghao Li, Panayiotis Papadopoulos
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An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries

Computer Methods in Applied Mechanics and Engineering, 2022
Zhihua Xie
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