A5087990984- Advanced Numerical Methods in Computational Mathematics
- Computational Fluid Dynamics and Aerodynamics
- Lattice Boltzmann Simulation Studies
- Advanced Mathematical Modeling in Engineering
- Numerical methods in engineering
- Electromagnetic Simulation and Numerical Methods
- Fluid Dynamics Simulations and Interactions
- Composite Material Mechanics
- Fluid Dynamics and Turbulent Flows
- Numerical methods for differential equations
- Model Reduction and Neural Networks
- Gas Dynamics and Kinetic Theory
- Computer Graphics and Visualization Techniques
- Advanced Numerical Analysis Techniques
- Fluid Dynamics and Vibration Analysis
- Plasma and Flow Control in Aerodynamics
- Laser-Plasma Interactions and Diagnostics
- Probabilistic and Robust Engineering Design
- Simulation Techniques and Applications
- Elasticity and Material Modeling
- Enhanced Oil Recovery Techniques
- Computational Geometry and Mesh Generation
- Seismic Imaging and Inversion Techniques
- Fluid Dynamics and Heat Transfer
- Advanced Scientific Research Methods
Duke University
2015-2024
Sandia National Laboratories
2011-2024
Sandia National Laboratories California
2004-2012
Computational Physics (United States)
2006
The University of Texas at Austin
2004-2006
Stanford University
2004
Summary We propose a new approach for the stabilization of linear tetrahedral finite elements in case nearly incompressible transient solid dynamics computations. Our method is based on mixed formulation, which momentum equation complemented by rate evolution pressure field, approximated with piecewise linear, continuous element functions. The stabilized to prevent spurious oscillations Incidentally, it also shown that many methods previously developed static do not generalize easily...
ALEGRA is an arbitrary Lagrangian-Eulerian (multiphysics) computer code developed at Sandia National Laboratories since 1990. The contains a variety of physics options including magnetics, radiation, and multimaterial flow. has been for nearly two decades, but recent work dramatically improved the code’s accuracy robustness. These improvements include techniques applied to basic Lagrangian differencing, artificial viscosity remap step method important improvement in conservation energy...
Summary We propose a new embedded finite element method to simulate partial differential equations over domains with internal interfaces. Our approach belongs the family of surrogate/approximate interface methods and relies on idea shifting location value jump conditions. This choice has goal preserving optimal convergence rates while avoiding small cut cells related problematic issues, typical traditional methods. The proposed is accurate, robust, efficient, simple implement. apply this...
This work presents a novel application of the Shifted Boundary Method (SBM) within Isogeometric Analysis (IGA) framework, applying it to two-dimensional and three-dimensional Poisson problems with Dirichlet Neumann boundary conditions. The SBM condition imposition is achieved by means fully penalty-free formulation, eliminating need for penalty calibration. numerical experiments demonstrate how order elevation, coupled through higher-order Taylor expansions, consistently achieves optimal...