Topology optimization of microfluidic mixers

DOI10.1002/fld.1964zbMath1172.76014OpenAlexW2116763448MaRDI QIDQ3182519

Casper Schousboe Andreasen, Allan Roulund Gersborg, Ole Sigmund

Publication date: 9 October 2009

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1964

zbMATH Keywords

stabilized finite element methodconvection-dominated transportsquare cross-sectioned pipe

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (33)

Stiffness design of a continuum under ill-load cases by fractional-norm objective formulation ⋮ Topology optimization of Stokes flow on dynamic meshes using simple optimizers ⋮ Topology optimization of multi-component flows using a multi-relaxation time lattice Boltzmann method ⋮ A Novel Density Based Approach for Topology Optimization of Stokes Flow ⋮ A nodal variable method of structural topology optimization based on Shepard interpolant ⋮ Optimal control of a transitional jet using a continuous adjoint method ⋮ A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer ⋮ Combination of topology optimization and optimal control method ⋮ Topology optimization for surface flows ⋮ Stress-based topology optimization method for steady-state fluid-structure interaction problems ⋮ Optimum material design of minimum structural compliance under seepage constraint ⋮ Topology optimization of fluid channels with flow rate equality constraints ⋮ Topology optimization of steady and unsteady incompressible Navier-Stokes flows driven by body forces ⋮ Topology optimization for compliance and contact pressure distribution in structural problems with friction ⋮ Topology optimization for fluid flow devices modeled through the multiple reference frame approach ⋮ Optimization of combining fiber orientation and topology for constant-stiffness composite laminated plates ⋮ Level-set based topology optimization of transient flow using lattice Boltzmann method considering an oscillating flow condition ⋮ Topology optimization applied to the design of Tesla-type turbine devices ⋮ An Iterative Thresholding Method for Topology Optimization for the Navier–Stokes Flow ⋮ Shape sensitivity analysis for a microchannel cooling system ⋮ Model hierarchy for the shape optimization of a microchannel cooling system ⋮ Topology optimization based on a two-dimensional swirl flow model of tesla-type pump devices ⋮ Topology optimization of unsteady incompressible Navier-Stokes flows ⋮ A topology optimization method in rarefied gas flow problems using the Boltzmann equation ⋮ Adaptive topology optimization for incompressible laminar flow problems with mass flow constraints ⋮ Topology optimization of Stokes flow with traction boundary conditions using low-order finite elements ⋮ Adjoint lattice Boltzmann for topology optimization on multi-GPU architecture ⋮ Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions ⋮ Topology optimization of unsteady flow problems using the lattice Boltzmann method ⋮ Topology optimization in thermal-fluid flow using the lattice Boltzmann method ⋮ Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization ⋮ Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme ⋮ CutFEM topology optimization of 3D laminar incompressible flow problems

Cites Work

• Unnamed Item
• Topology optimization of flow domains using the lattice Boltzmann method
• Topology optimization of large scale Stokes flow problems
• Topology optimization of channel flow problems
• The limits of porous materials in the topology optimization of Stokes flows
• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• Generating optimal topologies in structural design using a homogenization method
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A stabilized mixed finite element method for Darcy flow
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• Optimizing multifunctional materials: design of microstructures for maximized stiffness and fluid permeability
• Filters in topology optimization
• A high-level programming-language implementation of topology optimization applied to steady-state Navier-Stokes flow
• Topology optimization of creeping fluid flows using a Darcy–Stokes finite element
• Stabilized formulations for incompressible flows with thermal coupling
• A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows
• Topology optimization of regions of Darcy and Stokes flow
• The method of moving asymptotes—a new method for structural optimization
• Tangent operators and design sensitivity formulations for transient non‐linear coupled problems with applications to elastoplasticity
• Topology optimization of fluids in Stokes flow
• On optimum profiles in Stokes flow
• Introduction: mixing in microfluidics
• Topology optimization of fluid domains: kinetic theory approach
• Topology optimization of slightly compressible fluids
• Topology optimization of nonlinear elastic structures and compliant mechanisms

This page was built for publication: Topology optimization of microfluidic mixers