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Author: Axel Målqvist
Publisher:
ISBN: 9789172916548
Category :
Languages : en
Pages : 13
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Author: Axel Målqvist
Publisher:
ISBN: 9789172916548
Category :
Languages : en
Pages : 13
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Book Description
Author: Arthur Chan-wei Huang
Publisher:
ISBN:
Category :
Languages : en
Pages : 168
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Book Description
A promising methodology for accurate and efficient simulation of aerodynamic flows is output-based mesh adaptation, which optimizes a mesh to minimize the discretization error in an output of interest. The state of the art in output-based adaptation uses the discontinuous Galerkin (DG) method, which is computationally expensive due to its duplicated degrees of freedom. Existing continuous Galerkin (CG) methods require up to 20 times fewer degrees of freedom, but lack the combination of stability and adjoint consistency required for output-based adaptation. This thesis presents a novel high order continuous Galerkin method, which is both adjoint consistent and stable. The scheme, called Variational Multiscale with Discontinuous subscales (VMSD), models unresolved solution perturbations with a discontinuous representation. The solution discontinuities are then used to stabilize the problem using methods borrowed from discontinuous Galerkin methods. At the same time, the mathematical structure of the discretization allows for the elimination of additional degrees of freedom in a computationally efficient manner, so that the method has a linear system of the same size as a conventional CG discretization. Finally, because the scheme is adjoint consistent, accurate error estimates can be obtained for use in an output-based mesh adaptation process. In this work, the method is derived and its optimal properties demonstrated through analysis and numerical experiment. In particular, the thesis describes the integration of VMSD in a high order adaptive method, namely the Mesh Optimization via Error Sampling and Synthesis (MOESS) algorithm. Adaptive DG and VMSD are compared for 3D RANS simulations. The adaptive VMSD method is shown to produces solutions with the same drag error as the adaptive DG method, with a factor of 3-10 fewer globally coupled degrees of freedom, and an associated factor of three or more reduction in computation time.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Author: Cong Xie
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 99
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Author: Björn Engquist
Publisher: Springer Science & Business Media
ISBN: 3540253351
Category : Mathematics
Languages : en
Pages : 300
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Book Description
Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.
Author: Björn Engquist
Publisher: Springer Science & Business Media
ISBN: 3540264442
Category : Technology & Engineering
Languages : en
Pages : 300
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Book Description
Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e.g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.
Author: Volker John
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
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ISBN:
Category :
Languages : en
Pages : 17
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Author: René de Borst
Publisher: Springer Science & Business Media
ISBN: 9048198097
Category : Computers
Languages : en
Pages : 451
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Book Description
This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.
Author: Ido Akkerman
Publisher:
ISBN: 9789079488421
Category :
Languages : en
Pages : 152
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