Separated response surfaces for flows in parametrised domains: Comparison of a priori and a posteriori PGD algorithms

Giacomini, Matteo; Borchini, Luca; Sevilla, Rubén; Huerta, Antonio

doi:10.1016/j.finel.2021.103530

Cited by 9 publications

(3 citation statements)

References 79 publications

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“…An HGD-POD reduced order model (ROM) is also discussed in [249] for the fast simulation of the unsteady heat equation. More recently, an a priori ROM based on HDG and the proper generalised decomposition was proposed to simulate Stokes flows in geometrically parametrised domains [147,240].…”

Section: Hdg-based Reduced Order Modelsmentioning

confidence: 99%

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB

Giacomini,

Sevilla,

Huerta

2020

Preprint

Self Cite

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This paper presentsHDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both the HDG method for elliptic problems and its implementation available in HDGlab. Ultimately, this is expected to make this relatively new advanced discretisation method more accessible to the computational engineering community. HDGlab presents some features not available in other implementations of the HDG method that can be found in the free domain. First, it implements high-order polynomial shape functions up to degree nine, with both equally-spaced and Fekete nodal distributions. Second, it supports curved isoparametric simplicial elements in two and three dimensions. Third, it supports non-uniform degree polynomial approximations and it provides a flexible structure to devise degree adaptivity strategies. Finally, an interface with the open-source high-order mesh generator Gmsh is provided to facilitate its application to practical engineering problems.

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Section: Hdg-based Reduced Order Modelsmentioning

confidence: 99%

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB

Giacomini,

Sevilla,

Huerta

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…At the same time, simplified models are usually not sufficiently accurate to achieve the precision required by physicists and engineers to provide reliable estimates of QoI. This computational bottleneck is a major challenge for the effective conception, design and operation of industrial systems, especially when geometric parameters are involved.A brief overview of recent a priori and a posteriori ROM strategies for geometrically parametrized incompressible flows is recalled first [1,2]. Then, the optimal strokes for the pushme-pull-you (PMPY), simplified model of an euglenoid micro-swimmer, are determined thanks to the explicit separated expression of the forces and velocity calculated by virtue of the nonintrusive Encapsulated PGD [3].An alternative strategy is also explored to construct response surfaces of QoI, explicitly depending on the design parameters.…”

mentioning

confidence: 99%

“…A brief overview of recent a priori and a posteriori ROM strategies for geometrically parametrized incompressible flows is recalled first [1,2]. Then, the optimal strokes for the pushme-pull-you (PMPY), simplified model of an euglenoid micro-swimmer, are determined thanks to the explicit separated expression of the forces and velocity calculated by virtue of the nonintrusive Encapsulated PGD [3].…”

mentioning

confidence: 99%

Surrogate Models of Geometrically Parameterized Flow Systems

Huerta,

Borrás,

Perelló-Ribas

et al. 2023

XI International Conference on Adaptive Modeling and Simulation

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Detailed simulations of complex flow systems to determine critical quantities of interest (QoI) are often unaffordable due to their computational cost. At the same time, simplified models are usually not sufficiently accurate to achieve the precision required by physicists and engineers to provide reliable estimates of QoI. This computational bottleneck is a major challenge for the effective conception, design and operation of industrial systems, especially when geometric parameters are involved.A brief overview of recent a priori and a posteriori ROM strategies for geometrically parametrized incompressible flows is recalled first [1,2]. Then, the optimal strokes for the pushme-pull-you (PMPY), simplified model of an euglenoid micro-swimmer, are determined thanks to the explicit separated expression of the forces and velocity calculated by virtue of the nonintrusive Encapsulated PGD [3].An alternative strategy is also explored to construct response surfaces of QoI, explicitly depending on the design parameters. The resulting methodology to treat complex systems is demonstrated through parametric studies involving viscous incompressible flows of interest in science and the automotive industry for many-queries problems like shape or path optimization.

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HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB

Giacomini

Sevilla

Huerta

2020

Arch Computat Methods Eng

Self Cite

View full text Add to dashboard Cite

This paper presents , an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both the HDG method for elliptic problems and its implementation available in . Ultimately, this is expected to make this relatively new advanced discretisation method more accessible to the computational engineering community. presents some features not available in other implementations of the HDG method that can be found in the free domain. First, it implements high-order polynomial shape functions up to degree nine, with both equally-spaced and Fekete nodal distributions. Second, it supports curved isoparametric simplicial elements in two and three dimensions. Third, it supports non-uniform degree polynomial approximations and it provides a flexible structure to devise degree adaptivity strategies. Finally, an interface with the open-source high-order mesh generator is provided to facilitate its application to practical engineering problems.

show abstract

Separated response surfaces for flows in parametrised domains: Comparison of a priori and a posteriori PGD algorithms

Cited by 9 publications

References 79 publications

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB

Surrogate Models of Geometrically Parameterized Flow Systems

HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB

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