Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method
@article{Zeng2022EmbeddedDR,
title={Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method},
author={Xianyi Zeng and Giovanni Stabile and Efthymios N. Karatzas and Guglielmo Scovazzi and Gianluigi Rozza},
journal={ArXiv},
year={2022},
volume={abs/2201.09546}
}Figures and Tables from this paper
table 1 
table 2 
figure 2.1 
figure 2.2 
figure 2.3 
table 3 
figure 3.1 
figure 3.2 
table 4 
figure 4.1 
figure 4.10 
figure 4.11 
figure 4.12 
figure 4.13 
figure 4.14 
figure 4.15 
figure 4.16 
figure 4.17 
figure 4.18 
figure 4.19 
figure 4.2 
figure 4.20 
figure 4.3 
figure 4.4 
figure 4.5 
figure 4.6 
figure 4.7 
figure 4.8 
figure 4.9 
table 6 
table 7 
table 8 
table 10 
table 11 
table 12 
table 13 
table 14 
table 15 
table 16 
table 17 
table 18 
table 19 
table 20 
table 21
References
SHOWING 1-10 OF 52 REFERENCES
The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows
- MathematicsJ. Comput. Phys.
- 2018
A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations
- MathematicsArXiv
- 2019
Galerkin finite element methods for the Shallow Water equations over variable bottom
- Computer Science, MathematicsJ. Comput. Appl. Math.
- 2020
The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems
- Mathematics, Computer ScienceJ. Comput. Phys.
- 2018
The shifted boundary method for embedded domain computations. Part II: Linear advection-diffusion and incompressible Navier-Stokes equations
- Computer ScienceJ. Comput. Phys.
- 2018
A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
- Computer ScienceIUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
- 2019
A model order reduction technique is combined with an embedded boundary finite element method with a POD-Galerkin strategy and the Shifted Boundary Method, recently proposed, is applied to parametrized heat transfer problems and it relies on a sufficiently refined shape-regular background mesh to account for parametRIzed geometries.
Efficient geometrical parametrization for finite‐volume‐based reduced order methods
- MathematicsInternational Journal for Numerical Methods in Engineering
- 2020
This work presents an approach for the efficient treatment of parametrized geometries in the context of POD-Galerkin reduced order methods based on Finite Volume full order approximations, which relies on basis functions defined on an average deformed configuration and makes use of the Discrete Empirical Interpolation Method (D-EIM).
A Reduced Order Model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements
- MathematicsJ. Sci. Comput.
- 2021
This work investigates for the first time with a cut finite element method, a parameterized fourth-order nonlinear geometrical PDE, namely the Cahn-Hilliard system, and manages to find an efficient global, concerning the geometric manifold, and independent of geometric changes, reduced-order basis.
An Extended Finite Element Method for Two-Phase Fluids
- Computer Science
- 2003
The finite element approximation can capture the discontinuities at the interface without requiring the mesh to conform to the interface, eliminating the need for remeshing.