A5018125253- Advanced Numerical Methods in Computational Mathematics
- Parallel Computing and Optimization Techniques
- Distributed and Parallel Computing Systems
- Computational Fluid Dynamics and Aerodynamics
- Advanced Data Storage Technologies
- Lattice Boltzmann Simulation Studies
- Fluid Dynamics Simulations and Interactions
- Numerical methods for differential equations
- Computational Geometry and Mesh Generation
- Modular Robots and Swarm Intelligence
- Gas Dynamics and Kinetic Theory
- Tribology and Lubrication Engineering
- Gear and Bearing Dynamics Analysis
- Advanced Numerical Analysis Techniques
- Scientific Computing and Data Management
- Meteorological Phenomena and Simulations
- Numerical methods in engineering
- Computer Graphics and Visualization Techniques
- IoT and Edge/Fog Computing
- Electromagnetic Simulation and Numerical Methods
- Fluid Dynamics and Turbulent Flows
- High-Velocity Impact and Material Behavior
- Graph Theory and Algorithms
- Differential Equations and Numerical Methods
- Wind and Air Flow Studies
University of Trento
2017-2024
Indian Institute of Technology Ropar
2020-2024
Swinburne University of Technology
2020-2024
University of Utah
2015-2024
Cardiff University
2020-2024
Michigan State University
2021
University of Latvia
2019
Google (United States)
2016
Weber State University
2016
Bridgestone (United States)
2009
This paper is concerned with the design of a spatial discretization method for polar and nonpolar parabolic equations in one space variable. A new suitable use library program derived. The relationship to other methods explored. Truncation error analysis numerical examples are used illustrate accuracy algorithm compare it recent codes.
Abstract The material point method (MPM) has demonstrated itself as a computationally effective particle for solving solid mechanics problems involving large deformations and/or fragmentation of structures, which are sometimes problematic finite element methods (FEMs). However, similar to most that employ mixed Lagrangian (particle) and Eulerian strategies, analysis the is not straightforward. lack an framework MPM, found in FEMs, makes it challenging explain anomalies its employment...
Thermal and powder densification modelling of the selective laser sintering amorphous polycarbonate is reported. Three strategies have been investigated: analytical, adaptive mesh finite difference fixed element. A comparison between three experimental results used to evaluate their ability reliably predict behaviour physical process. The element approaches are only ones that automatically deal with non-linearities process arise from variation in thermal properties polymer density during...
The Material Point Method (MPM) has shown itself to be a powerful tool in the sim- ulation of large deformation problems, especially those involving complex geometries and contact where typical finite element type methods fre- quently fail. While these problems lead some impressive simulations solu- tions, there been lack basic analysis char- acterizing errors present method, even on simplest problems. number choices one when implementing suchas thechoiceofbasisfunctionsandboundary...
The Uintah Software system was developed to provide an environment for solving a fluid-structure interaction problems on structured adaptive grids large-scale, long-running, data-intensive problems. uses novel asynchronous task-based approach with fully automated load balancing. application of petascale problem in hazard analysis arising from "sympathetic" explosions which the collective interactions large ensemble explosives results dramatically increased explosion violence, is considered....
Abstract A new numerical method for Nwogu's ( ASCE Journal of Waterway, Port, Coastal and Ocean Engineering 1993; 119 :618)two‐dimensional extended Boussinesq equations is presented using a linear triangular finite element spatial discretization coupled with sophisticated adaptive time integration package. The authors have previously the one‐dimensional form these (M. Walkley M. Berzins International Numerical Methods in Fluids 1999; 29 (2):143)) this paper describes extension ideas to...
A new finite element method for Nwogu's (O. Nwogu, ASCE J. Waterw., Port, Coast., Ocean Eng., 119, 618–638 (1993)) one-dimensional extended Boussinesq equations is presented using a linear spatial discretisation coupled with sophisticated adaptive time integration package. The accuracy of the scheme compared to that an existing difference (G. Wei and J.T. Kirby, 121, 251–261 (1995)) by considering truncation error at node. Numerical tests solitary regular waves propagating in variable depth...
Abstract Modern PDE solvers written for time‐dependent problems increasingly employ adaptive unstructured meshes (Flaherty et al. , 1989) in order to both increase efficiency and control the numerical error. If a distributed memory parallel computer is be used, there arises significant problem of dividing domain equally amongst processors whilst minimising inter‐subdomain dependencies. A number graph‐based algorithms have recently been proposed steady‐state calculations. The paper considers...
In this paper we present a tetrahedron-based, h-refinement-type algorithm for the solution of problems in 3D gas dynamics using unstructured mesh adaptation. The adaptation is coupled to cell-centred, Riemann problem-based, finite volume scheme MUSCL type, employing an approximate solver. adaptive then used compute diffraction shock waves around box section corner subsonic and supersonic post-shock flow. case, preliminary measurements vortex filament speed vortical Mach number are broad...
Understanding the factors that control extent of tissue damage as a result material failure in soft tissues may provide means to improve diagnosis and treatment injuries. The objective this research was develop test computational framework for study anisotropic subjected finite deformation. An constitutive model incorporating strain-based criteria implemented an existing solid mechanics software based on point method (MPM), quasi-meshless particle simulations mechanics. formulations were...
Abstract The material point method (MPM) is a computationally effective particle with mathematical roots in both particle‐in‐cell and finite element‐type methods. has proven to be extremely useful solving solid mechanics problems involving large deformations and/or fragmentation of structures, problem domains that are sometimes problematic for Recently, the MPM community focused significant attention on understanding basic error properties method. Complementary this thrust, paper we show how...
Uintah is a computational framework for fluid-structure interaction problems using combination of the ICE fluid flow algorithm, adaptive mesh refinement (AMR) and MPM particle methods. uses domain decomposition with task-graph approach asynchronous communication automatic message generation. The software has been used decade its original task scheduler that ran tasks in predefined static order. In order to improve performance petascale architecture, new dynamic allowing better overlapping...
The Uintah Software framework was developed to provide an environment for solving fluid-structure interaction problems on structured adaptive grids large-scale, long-running, data-intensive problems. uses a combination of fluid-flow solvers and particle-based methods solids together with novel asynchronous task-based approach fully automated load balancing. As is often used solve incompressible flow in combustion applications it important have scalable linear solver. While there are many...
The Uintah Computational Framework was developed to provide an environment for solving fluid-structure interaction problems on structured adaptive grids large-scale, long-running, data-intensive problems. uses a combination of fluid-flow solvers and particle-based methods solids, together with novel asynchronou task-based approach fully automated load balancing. demonstrates excellent weak strong scalability at full machine capacity XSEDE resources such as Ranger Kraken, through the use...
Uintah is a highly parallel and adaptive multi-physics framework created by the Center for Simulation of Accidental Fires Explosions in Utah. Uintah, which built upon Common Component Architecture, has facilitated simulation wide variety fluid-structure interaction problems using both structured meshes fluid particles to model solids. was originally designed for, performed well on, about thousand processors. The evolution use tens thousands processors required improvements memory usage, data...
The development of a new unified, multi-threaded runtime system for the execution asynchronous tasks on heterogeneous systems is described in this work. These arise from Uintah framework, which was developed to provide an environment solving broad class fluid-structure interaction problems structured adaptive grids. has clear separation between its MPI-free user-coded and that ensures these execute efficiently. This also allows complete isolation application developer complexities involved...
Present trends in high performance computing present formidable challenges for applications code using multicore nodes possibly with accelerators and/or co-processors and reduced memory while still attaining scalability. Software frameworks that execute machine-independent a runtime system shields users from architectural complexities offer possible solution. The Uintah framework example, solves broad class of large-scale problems on structured adaptive grids fluid-flow solvers coupled...
SUMMARY Uintah is a software framework that provides an environment for solving fluid–structure interaction problems on structured adaptive grids large‐scale science and engineering involving the solution of partial differential equations. uses combination fluid flow solvers particle‐based methods solids, together with meshing novel asynchronous task‐based approach fully automated load balancing. When applying to problems, movement structures through space present formidable challenge in...