- Title Information
- Title
- High-Performance High-Order Simulation of Wave and Plasma Phenomena
- Name:
Personal
- Name Part
- Kloeckner, Andreas P
- Role
- Role Term:
Text
- creator
- Origin Information
- Copyright Date
- 2010
- Physical Description
- Extent
- xvi, 286 p.
- digitalOrigin
- born digital
- Note
- Thesis (Ph.D. -- Brown University (2010)
- Name:
Personal
- Name Part
- Hesthaven, Jan
- Role
- Role Term:
Text
- Director
- Name:
Personal
- Name Part
- Guzmán, Johnny
- Role
- Role Term:
Text
- Reader
- Name:
Personal
- Name Part
- Shu, Chi-Wang
- Role
- Role Term:
Text
- Reader
- Name:
Corporate
- Name Part
- Brown University. Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Genre (aat)
- theses
- Abstract
- This thesis presents results aiming to enhance and broaden the applicability of the discontinuous Galerkin (''DG'') method in a variety of ways. DG was chosen as a foundation for this work because it yields high-order finite element discretizations with very favorable numerical properties for the treatment of hyperbolic conservation laws.In a first part, I examine progress that can be made on implementation aspects of DG. In adapting the method to mass-market massively parallel computation hardware in the form of graphics processors (''GPUs''), I obtain an increase in computation performance per unit of cost by more than an order of magnitude over conventional processor architectures. Key to this advance is a recipe that adapts DG to a variety of hardware through automated self-tuning. I discuss new parallel programming tools supporting GPU run-time code generation which are instrumental in the DG self-tuning process and contribute to its reaching application floating point throughput greater than 200 GFlops/s on a single GPU and greater than 3 TFlops/s on a 16-GPU cluster in simulations of electromagnetics problems in three dimensions. I further briefly discuss the solver infrastructure that makes this possible.In the second part of the thesis, I introduce a number of new numerical methods whose motivation is partly rooted in the opportunity created by GPU-DG: First, I construct and examine a novel GPU-capable shock detector, which, when used to control an artificial viscosity, helps stabilize DG computations in gas dynamics and a number of other fields. Second, I describe my pursuit of a method that allows the simulation of rarefied plasmas using a DG discretization of the electromagnetic field. Finally, I introduce new explicit multi-rate time integrators for ordinary differential equations with multiple time scales, with a focus on applicability to DG discretizations of time-dependent problems.
- Subject
- Topic
- Discontinuous Galerkin
- Subject
- Topic
- DG
- Subject
- Topic
- Parallel Computing
- Subject
- Topic
- GPU
- Subject
- Topic
- Shock Capturing
- Subject
- Topic
- Artificial viscosity
- Subject
- Topic
- Particle-in-Cell
- Subject
- Topic
- Multi-Rate ODE solver
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20111003
- Language
- Language Term:
Code (ISO639-2B)
- eng
- Language Term:
Text
- English
- Identifier:
DOI
- 10.7301/Z0ST7N2W
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations