6 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-…