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K. Maute

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7 records found

XIGA

An eXtended IsoGeometric analysis approach for multi-material problems

Journal article - L.F.P. Noel, M. Schmidt, Keenan Doble, J. A. Evans, K. Maute

Multi-material problems often exhibit complex geometries along with physical responses presenting large spatial gradients or discontinuities. In these cases, providing high-quality body-fitted finite element analysis meshes and obtaining accurate solutions remain challenging. Imm ...

XFEM level set-based topology optimization for turbulent conjugate heat transfer problems

Journal article - L.F.P. Noel, K. Maute

Solving conjugate heat transfer design problems is relevant for various engineering applications requiring efficient thermal management. Heat exchange between fluid and solid can be enhanced by optimizing the system layout and the shape of the flow channels. As heat is transferred at fluid/solid interfaces, it is crucial to accurately resolve the geometry and the physics responses across these interfaces. To address this challenge, this work investigates for the first time the use of an eXtended Finite Element Method (XFEM) approach to predict the physical responses of conjugate heat transfer problems considering turbulent flow. This analysis approach is integrated into a level set-based optimization framework. The design domain is immersed into a background mesh and the geometry of fluid/solid interfaces is defined implicitly by one or multiple level set functions. The level set functions are discretized by higher-order B-splines. The flow is predicted by the Reynolds Averaged Navier–Stokes equations. Turbulence is described by the Spalart–Allmaras model and the thermal energy transport by an advection–diffusion model. Finite element approximations are augmented by a generalized Heaviside enrichment strategy with the state fields being approximated by linear basis functions. Boundary and interface conditions are enforced weakly with Nitsche’s method, and the face-oriented ghost stabilization is used to mitigate numerical instabilities associated with the emergence of small integration subdomains. The proposed XFEM approach for turbulent conjugate heat transfer is validated against benchmark problems. Optimization problems are solved by gradient-based algorithms and the required sensitivity analysis is performed by the adjoint method. The proposed framework is illustrated with the design of turbulent heat exchangers in two dimensions. The optimization results show that, by tuning the shape of the fluid/solid interface to generate turbulence within the heat exchanger, the transfer of thermal energy can be increased.@en

Multigrid solvers for immersed finite element methods and immersed isogeometric analysis

Journal article - Frits de Prenter, Frits de Prenter, C. V. Verhoosel, E. H. van Brummelen, J.A. Evans, J.A. Evans, J.A. Evans, C. Messe, C. Messe, J. Benzaken, J. Benzaken, K. Maute

Ill-conditioning of the system matrix is a well-known complication in immersed finite element methods and trimmed isogeometric analysis. Elements with small intersections with the physical domain yield problematic eigenvalues in the system matrix, which generally degrades efficie ...

Multigrid solvers for immersed finite element methods and immersed isogeometric analysis

Journal article - Frits de Prenter, Frits de Prenter, C. V. Verhoosel, E. H. van Brummelen, J.A. Evans, J.A. Evans, J.A. Evans, C. Messe, C. Messe, J. Benzaken, J. Benzaken, K. Maute

Multigrid solvers for immersed finite element methods and immersed isogeometric analysis

Journal article - Frits de Prenter, Frits de Prenter, C. V. Verhoosel, E. H. van Brummelen, J.A. Evans, J.A. Evans, J.A. Evans, C. Messe, C. Messe, J. Benzaken, J. Benzaken, K. Maute

Investigation of instabilities arising in internal element connectivity parameterization

Conference paper - Matthijs Langelaar, K. Maute, N.P. van Dijk, A. van Keulen

In this paper, we address a newly discovered local instability observed in geometrically nonlinear analysis using the Internal Element Connectivity Parameterization (I-ECP) approach. I-ECP offers advantages in topology optimization of nonlinear elastic structures compared to conv ...

Level-set methods for structural topology optimization : a review

Journal article - N.P. van Dijk, K. Maute, Matthijs Langelaar, A. van Keulen

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FSI Analysis and Optimization of 3D beam structures

Master thesis - A. Mozo Gutierrez, S.R. Turteltaub, K. Maute

Aiming to enhance the performance of the industrial design process, structural optimization techniques have been proposed as an alternative to traditional design and optimization techniques. They own the potential of achieving an optimal distribution of the material through the design domain, thus reducing waste loss and weight, and increasing the ability to carry the loads and the overall efficiency of the design. During this thesis work it has been developed a 3D Fluid-Structure Interaction model for beam-like structures, such as wind turbine blades. The cross-section geometry of the beam can be optimized using structural optimization techniques, such as size, shape or topology optimization. The proposed 3D beam is partially based on the formulation of the classical beam element for slender beams (Euler-Bernoulli), including Saint-Venant torsional effects for isotropic materials, and with the addition of the terms related with the coupling between axial and torsion, and bending and torsion contributions, which may arise when using non-linear materials. The stiffness information of the beam is interpolated from its cross-section geometries and materials, which can vary along the beam length. The cross-section geometries are defined on a XFEM mesh. The fluid and solid domains are specified using a Level Set Function. This provides a smooth geometry and crisp representation of the solid/fluid interface without the necessity of re-meshing, as in the case of classical FEM. A 2D fluid simulation based on Incompressible Navier Stokes flow at low Reynolds number is carried around each cross-section, in order to obtain the aerodynamic loading over its contour. This aerodynamic loading serves as an input for the beam model, to compute deformation of the beam. This deformation is mapped onto the cross-sections, obtaining the updated displacements and rotations of the geometry. With the updated geometry the fluid field is altered and it needs to be updated as well, forming a non-linear iterative process that loops until a converged structure is obtained. The 3D FSI model is solved on a monolithic Newton-Raphson solver that treats all the equations involved at once. The Jacobian terms derived for the monolithic solving scheme that has been developed for the forward analysis allow a straightforward computation of the sensitivities using adjoint method. This sensitivity analysis makes possible the optimization of the geometry of the cross-sections based on certain criteria and constraints.