57 citations · 164 across the 14 of their papers we have counts for
16 papers
A shifted interface approach for internal discontinuities in poroelastic media
David Michael Riley, Guglielmo Scovazzi, Ioannis Stefanou
Porous media containing cracks, fractures, or internal discontinuities arise throughout subsurface geomechanics, biomechanics, and materials science. Numerical simulation of the co…
Phase-Field/Discontinuity Capturing operator for direct van der Waals simulation (DVS)
Tianyi Hu, Thomas J. R. Hughes, Guglielmo Scovazzi +1
Discontinuity capturing (DC) operators are commonly employed to numerically solve problems involving sharp gradients in the solution. Despite their success, the application of DC o…
Gap-SBM: A New Conceptualization of the Shifted Boundary Method with Optimal Convergence for the Neumann and Dirichlet Problems
J. Haydel Collins, Kangan Li, Alexei Lozinski +1
We propose and mathematically analyze a new Shifted Boundary Method for the treatment of Dirichlet and Neumann boundary conditions, with provable optimal accuracy in the - and…
Direct Flow Simulations with Implicit Neural Representation of Complex Geometry
Samundra Karki, Mehdi Shadkah, Cheng-Hau Yang +4
Implicit neural representations have emerged as a powerful approach for encoding complex geometries as continuous functions. These implicit models are widely used in computer visio…
A Shifted Boundary Method for Thermal Flows
Cheng-Hau Yang, Guglielmo Scovazzi, Adarsh Krishnamurthy +1
This paper presents an incomplete Octree mesh implementation of the Shifted Boundary Method (Octree-SBM) for multiphysics simulations of coupled flow and heat transfer. Specificall…
Simulating incompressible flows over complex geometries using the shifted boundary method with incomplete adaptive octree meshes
Cheng-Hau Yang, Guglielmo Scovazzi, Adarsh Krishnamurthy +1
We extend the shifted boundary method (SBM) to the simulation of incompressible fluid flow using immersed octree meshes. Previous work on SBM for fluid flow primarily utilized two-…
A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics
Nabil M. Atallah, Ketan Mittal, Guglielmo Scovazzi +1
We present a new method for two-material Lagrangian hydrodynamics, which combines the Shifted Interface Method (SIM) with a high-order Finite Element Method. Our approach relies on…
Weak Boundary Conditions for Lagrangian Shock Hydrodynamics: A High-Order Finite Element Implementation on Curved Boundaries
Nabil M. Atallah, Vladimir Z. Tomov, Guglielmo Scovazzi
We propose a new Nitsche-type approach for weak enforcement of normal velocity boundary conditions for a Lagrangian discretization of the compressible shock-hydrodynamics equations…
Optimal Surrogate Boundary Selection and Scalability Studies for the Shifted Boundary Method on Octree Meshes
Cheng-Hau Yang, Kumar Saurabh, Guglielmo Scovazzi +3
The accurate and efficient simulation of Partial Differential Equations (PDEs) in and around arbitrarily defined geometries is critical for many application domains. Immersed bound…
A penalty-free Shifted Boundary Method of arbitrary order
J. Haydel Collins, Alexei Lozinski, Guglielmo Scovazzi
We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM), inspired by the asymmetric version of the Nitsche method. We prove its stability and conve…
Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method
Xianyi Zeng, Giovanni Stabile, Efthymios N. Karatzas +2
We consider fully discrete embedded finite element approximations for a shallow water hyperbolic problem and its reduced-order model. Our approach is based on a fixed background me…
Analysis of the Shifted Boundary Method for the Poisson Problem in General Domains
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
The shifted boundary method (SBM) is an approximate domain method for boundary value problems, in the broader class of unfitted/embedded/immersed methods. It has proven to be quite…
The Second-Generation Shifted Boundary Method and Its Numerical Analysis
Nabil M. Atallah, Claudio Canuto, Guglielmo Scovazzi
Recently, the Shifted Boundary Method (SBM) was proposed within the class of unfitted (or immersed, or embedded) finite element methods. By reformulating the original boundary valu…
A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations
Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau +2
We investigate a projection-based reduced-order model of the steady incompressible Navier-Stokes equations for moderate Reynolds numbers. In particular, we construct an "embedded"…
A Reduced Basis approach for PDEs on parametrized geometries based on the Shifted Boundary Finite Element Method and application to a Stokes Flow
Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau +2
We propose a model order reduction technique integrating the Shifted Boundary Method (SBM) with a POD-Galerkin strategy. This approach allows to treat more complex parametrized dom…
A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
E. N. Karatzas, G. Stabile, N. Atallah +2
A model order reduction technique is combined with an embedded boundary finite element method with a POD-Galerkin strategy. The proposed methodology is applied to parametrized heat…