Real Time Reduced Order Computational Mechanics Parametric PDEs Worked Out Problems /
The book is made up by several worked out problems concerning the application of reduced order modeling to different parametric partial differential equations problems with an increasing degree of complexity. This work is based on some experience acquired during lectures and exercises in classes tau...
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| Autors principals: | , , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edició: | 1st ed. 2024. |
| Col·lecció: | SISSA Springer Series,
5 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-49892-3 |
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Taula de continguts:
- A short introduction to Reduced Basis Method
- Part I Worked out problems for beginners: steady cases
- Steady heat conduction in a thermal block
- A linear elasticity problem on a square
- Thermal transfer problem in a parametrized geometry
- A transport problem for the 2D Graetz flow
- Heat conduction with Gaussian flux
- Part II Advanced worked out problems:time dependent and nonlinear cases
- Unsteady heat conduction in a thermal block
- Unsteady heat conduction in a thermal block
- A nonlinear parabolic FitzHugh-Nagumo problem
- Part III Real-life worked out problems: engineering applications
- A thermal conduction problem through an extended surface
- An idealized contact problem in linear elasticity with friction
- A linear elasticity application on a beam bridge
- Part IV Fluid dynamics worked out problems
- Navier-Stokes system for a backward-facing step
- Bifurcating Coanda effect in a channel
- Unsteady Navier-Stokes equations for vortexshedding behind a cylinder
- Part V More advanced worked out problems
- Stabilized reduced method for an advection dominated problem
- A parametrized elliptic optimal control problem
- Uncertainty quantification for a stochastic thermal block.