A5021049844- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Model Reduction and Neural Networks
- Mechanical Behavior of Composites
- Contact Mechanics and Variational Inequalities
- Electromagnetic Simulation and Numerical Methods
- Composite Material Mechanics
- Drilling and Well Engineering
- Heat Transfer and Optimization
- Hydraulic Fracturing and Reservoir Analysis
- Seismic Imaging and Inversion Techniques
- Metal Forming Simulation Techniques
- Lattice Boltzmann Simulation Studies
- Fluid Dynamics Simulations and Interactions
- Rock Mechanics and Modeling
- High-Velocity Impact and Material Behavior
- Aluminum Alloy Microstructure Properties
- Adhesion, Friction, and Surface Interactions
- Brake Systems and Friction Analysis
- Ultrasonics and Acoustic Wave Propagation
- Landslides and related hazards
- Mechanical stress and fatigue analysis
- Probabilistic and Robust Engineering Design
- Manufacturing Process and Optimization
- Nuclear Engineering Thermal-Hydraulics
Indian Institute of Technology Madras
2021-2025
Lawrence Livermore National Laboratory
2013-2019
Duke University
2011-2012
Summary This paper describes a fully coupled finite element/finite volume approach for simulating field‐scale hydraulically driven fractures in three dimensions, using massively parallel computing platforms. The proposed method is capable of capturing realistic representations local heterogeneities, layering and natural fracture networks reservoir. A detailed description the numerical implementation provided, along with studies comparing model both analytical solutions experimental results....
Abstract In this work, we present the application of a fully coupled hydro‐mechanical method to investigate effect fracture heterogeneity on fluid flow through fractures at laboratory scale. Experimental and numerical studies closure behavior in presence heterogeneous mechanical hydraulic properties are presented. We compare results two sets experiments granodiorite specimens against simulations order effects, respectively. The model captures predicts nonlinear increase injection pressure...
SUMMARY We develop both stable and stabilized methods for imposing Dirichlet constraints on embedded, three‐dimensional surfaces in finite elements. The method makes use of the vital vertex algorithm to a space Lagrange multipliers together with novel discontinuous set basis functions multiplier field. method, other hand, follows Nitsche type variational approach surfaces. Algorithmic implementational details are provided. Several benchmark problems studied compare contrast accuracy two...
Summary The extended finite element method (X‐FEM) has proven to be an accurate, robust for solving embedded interface problems. With a few exceptions, the X‐FEM mostly been used in conjunction with piecewise‐linear shape functions and associated geometrical representation of interfaces. In current work, use spline‐based elements is examined along Nitsche technique enforcing constraints on interface. To obtain optimal rates convergence, we employ hierarchical local refinement approach...
Phase-field models for fracture have demonstrated significant power in simulating realistic fractures, including complex behaviors like crack branching, coalescing, and fragmentation. Despite this, these mostly remained the realm of proof-of-concept studies rather than being applied to practical problems.This paper introduces a computationally efficient implementation phase-field method based on open source finite element library deal.ii, incorporating parallel computing adaptive mesh...
SUMMARY We investigate various strategies to enforce the kinematics at an embedded interface for transient problems within extended finite element method. In particular, we focus on explicit time integration of semi‐discrete equations motion and extend both dual primal variational frameworks constraint enforcement a regime. reiterate incompatibility formulation with purely severe restrictions placed by Courant–Friedrichs–Levy condition formulations. propose alternate, consistent method...
We present an efficient physics-informed neural networks (PINNs) framework, termed Adaptive Interface-PINNs (AdaI-PINNs), to improve the modeling of interface problems with discontinuous coefficients and/or interfacial jumps. This framework is enhanced version its predecessor, Interface PINNs or I-PINNs (Sarma et al.; https://dx.doi.org/10.2139/ssrn.4766623), which involves domain decomposition and assignment different predefined activation functions in each subdomain across a sharp...
Download This Paper Open PDF in Browser Add to My Library Share: Permalink Using these links will ensure access this page indefinitely Copy URL DOI